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Viktor Savrin

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DOI: 10.1016/j.nima.2004.07.096
2004
Cited 497 times
CompHEP 4.4—automatic computations from Lagrangians to events
We present a new version of the CompHEP program (version 4.4). We describe shortly new issues implemented in this version, namely, simplification of quark flavor combinatorics for the evaluation of hadronic processes, Les Houches Accord-based CompHEP-PYTHIA interface, processing the color configurations of events, implementation of MSSM, symbolical and numerical batch modes, etc. We discuss how the CompHEP program is used for preparing event generators for various physical processes. We mention a few concrete physics examples for CompHEP-based generators prepared for the LHC and Tevatron.
DOI: 10.1134/s1063778806080084
2006
Cited 102 times
Method for simulating electroweak top-quark production events in the NLO approximation: SingleTop event generator
DOI: 10.48550/arxiv.hep-ph/9908288
1999
Cited 95 times
CompHEP - a package for evaluation of Feynman diagrams and integration over multi-particle phase space. User's manual for version 33
CompHEP is a package for automatic calculations of elementary particle decay and collision properties in the lowest order of perturbation theory (the tree approximation). The main idea prescribed into the CompHEP is to make available passing on from the Lagrangian to the final distributions effectively with a high level of automation.
DOI: 10.1007/bf01036573
1971
Cited 61 times
One-time equation for a two-particle system in quantum field theory
DOI: 10.1016/s0370-2693(98)00547-4
1998
Cited 47 times
Higgs boson discovery potential of LHC in the channel pp→γγ+jet
We discuss the SM Higgs discovery potential of LHC in the reaction pp→H+jet→γγ+jet when the jet is observed at sufficiently high Et to be reliably identified. We conclude that this channel gives promising discovery possibilities for the Higgs boson mass range 100–140 GeV, during LHC operation at a low luminosity. With 30 fb−1 of accumulated data and for MH=120 GeV about 100 signal events could be observed with the number of background events larger by a factor of 2 only, showing a signal significance S/B∼7. We use the difference of distributions in the partonic subprocess energy ŝ for the signal and background for a better separation of the signal.
DOI: 10.1016/0370-2693(90)91133-v
1990
Cited 29 times
On the conventional QED interpretation of the GSI e+e- narrow resonances
A possible mechanism for the GSI e+e- narrow resonances as being due to non-perturbative effects of conventional QED is proposed. An application of the quasi-potential approach discloses a set of new resonances in a system of two charged particles. Numerical calculations agree with data on e+e- and pp narrow resonances. Additional new resonances are predicted for e+e-, pp, e-e- systems.
1999
Cited 31 times
CompHEP: A Package for evaluation of Feynman diagrams and integration over multiparticle phase space
DOI: 10.1140/epjc/s10052-011-1730-2
2011
Cited 15 times
CMS ridge effect at LHC as a manifestation of bremsstrahlung of gluons off quarks accelerated in a strong color field
The recently reported effect of long-range near-side angular correlations at LHC occurs for large multiplicities of particles with $1\,GeV\,<p_T\,<\,3\,GeV$. To understand the effect several possibilities have been discussed. In the letter we propose a simple qualitative mechanism which corresponds to gluon bremstralung of quarks moving with acceleration appropriate to the quark--anti-quark string. The smallness of azimuthal angle difference $\Delta \phi$ along with large $\Delta \eta$ at large multiplicities in this interval of $p_T$ are natural in the mechanism. The mechanism predicts also bremstralung photons with mean values of $p_T \approx 2.9$ and $0.72\,GeV$.
DOI: 10.48550/arxiv.hep-ph/0604120
2006
Cited 21 times
Les Houches Physics at TeV Colliders 2005, Standard Model and Higgs working group: Summary report
This Report summarises the activities of the "SM and Higgs" working group for the Workshop "Physics at TeV Colliders", Les Houches, France, 2-20 May, 2005. On the one hand, we performed a variety of experimental and theoretical studies on standard candles (such as W, Z, and ttbar production), treating them either as proper signals of known physics, or as backgrounds to unknown physics; we also addressed issues relevant to those non-perturbative or semi-perturbative ingredients, such as Parton Density Functions and Underlying Events, whose understanding will be crucial for a proper simulation of the actual events taking place in the detectors. On the other hand, several channels for the production of the Higgs, or involving the Higgs, have been considered in some detail. The report is structured into four main parts. The first one deals with Standard Model physics, except the Higgs. A variety of arguments are treated here, from full simulation of processes constituting a background to Higgs production, to studies of uncertainties due to PDFs and to extrapolations of models for underlying events, from small-$x$ issues to electroweak corrections which may play a role in vector boson physics. The second part of the report treats Higgs physics from the point of view of the signal. In the third part, reviews are presented on the current status of multi-leg, next-to-leading order and of next-to-next-to-leading order QCD computations. Finally, the fourth part deals with the use of Monte Carlos for simulation of LHC physics.
2006
Cited 19 times
Les Houches Physics at TeV Colliders 2005, Standard Model and Higgs working group: Summary report
This Report summarises the activities of the SM and working group for the Workshop Physics at TeV Colliders, Les Houches, France, 2-20 May, 2005. On the one hand, we performed a variety of experimental and theoretical studies on standard candles (such as W, Z, and ttbar production), treating them either as proper signals of known physics, or as backgrounds to unknown physics; we also addressed issues relevant to those non-perturbative or semi-perturbative ingredients, such as Parton Density Functions and Underlying Events, whose understanding will be crucial for a proper simulation of the actual events taking place in the detectors. On the other hand, several channels for the production of the Higgs, or involving the Higgs, have been considered in some detail. The report is structured into four main parts. The first one deals with Standard Model physics, except the Higgs. A variety of arguments are treated here, from full simulation of processes constituting a background to Higgs production, to studies of uncertainties due to PDFs and to extrapolations of models for underlying events, from small-$x$ issues to electroweak corrections which may play a role in vector boson physics. The second part of the report treats Higgs physics from the point of view of the signal. In the third part, reviews are presented on the current status of multi-leg, next-to-leading order and of next-to-next-to-leading order QCD computations. Finally, the fourth part deals with the use of Monte Carlos for simulation of LHC physics.
DOI: 10.1007/bf01042425
1973
Cited 13 times
One-time equation for three-particle system in quantum field theory
DOI: 10.48550/arxiv.hep-ph/9709270
1997
Cited 19 times
Event Generators for WW Physics
The report summarizes the results of the activities of the Working Group on Event Generators for WW Physics at CERN during 1995.
DOI: 10.1023/a:1019704709192
2002
Cited 15 times
DOI: 10.1007/bf01017621
1986
Cited 15 times
Dependence of the quasipotential on the total energy of a two-particle system
DOI: 10.48550/arxiv.0705.3251
2007
Cited 11 times
Tevatron-for-LHC Report: Top and Electroweak Physics
The top quark and electroweak bosons (W and Z) represent the most massive fundamental particles yet discovered, and as such refer directly to the Standard Model's greatest remaining mystery: the mechanism by which all particles gained mass. This report summarizes the work done within the top-ew group of the Tevatron-for-LHC workshop. It represents a collection of both Tevatron results, and LHC predictions. The hope is that by considering and comparing both machines, the LHC program can be improved and aided by knowledge from the Tevatron, and that particle physics as a whole can be enriched. The report includes measurements of the top quark mass, searches for single top quark production, and physics of the electroweak bosons at hadron colliders.
DOI: 10.48550/arxiv.hep-ph/9503280
1995
Cited 15 times
CompHEP - Specialized package for automatic calculations of elementary particle decays and collisions
At present time when a new generation of TeV colliders are beginning to operate one needs to calculate cross-sections for a great number of various reactions. Such calculations are united in the framework of the collider physical program, providing definite predictions how to detect the signatures of the new physics and separate them from the background. The CompHEP package was created for calculation of decay and high energy collision processes of elementary particles in the lowest order (tree) approximation. The main idea put into the CompHEP was to make available passing from the lagrangian to the final distributions effectively with the high level of automatization what is extremely needed in collider physics.
DOI: 10.1088/1748-0221/5/06/p06002
2010
Cited 6 times
Study of various photomultiplier tubes with muon beams and Čerenkov light produced in electron showers
The PMTs of the CMS Hadron Forward calorimeter were found to generate a large size signal when their windows were traversed by energetic charged particles. This signal, which is due to Čerenkov light production at the PMT window, could interfere with the calorimeter signal and mislead the measurements. In order to find a viable solution to this problem, the response of four different types of PMTs to muons traversing their windows at different orientations is measured at the H2 beam-line at CERN. Certain kinds of PMTs with thinner windows show significantly lower response to direct muon incidence. For the four anode PMT, a simple and powerful algorithm to identify such events and recover the PMT signal using the signals of the quadrants without window hits is also presented. For the measurement of PMT responses to Čerenkov light, the Hadron Forward calorimeter signal was mimicked by two different setups in electron beams and the PMT performances were compared with each other. Superior performance of particular PMTs was observed.
DOI: 10.1063/1.1405306
2001
Cited 11 times
CompHEP-PYTHIA interface: Integrated package for the collision events generation based on exact matrix elements
CompHEP, as a partonic event generator, and PYTHIA, as a generator of final states of detectable objects, are interfaced. Thus, integrated tool is proposed for simulation of (almost) arbitrary collision processes at the level of detectable particles. Exact (multiparticle) matrix elements, convolution with structure functions, decays, partons hadronization and (optionally) parton shower evolution are basic stages of calculations. The PEVLIB library of event generators for LHC processes is described.
DOI: 10.1007/bf01014790
1982
Cited 11 times
Structure functions of relativistic systems composed of two spin 1/2 particles
DOI: 10.1007/bf02724617
1981
Cited 10 times
Covariant three-dimensional equations for bound states of quarks and the structure functions of hadrons
The structure functions of hadrons in deep inelastic scattering are calculated in the framework of the single-time formulation of QFT. The initial hadron is considered as a bound state of the quark-antiquark pair and the structure functions are expressed through the relativistic wave function of the bound state which obeys the covariant quasi-potential equation. A new scaling variable is introduced and explicit expressions for the scaling and prescaling parts of the structure functions are derived. It is shown that the prescaling and exclusive threshold asymptotics of the structure functions in the leading approximation contain only logarithmic terms. The exact solution of the quasi-potential equation for the relativistic potential with QCD large-Q 2 behaviour is used in order to calculate the structure functions.
DOI: 10.1007/bf01035566
1974
Cited 8 times
One-time equation for the scattering of a particle on a bound state in quantum field theory
DOI: 10.1007/bf01260941
1990
Cited 10 times
Relativistic coulomb quasipotential and new narrow resonances in systems of charged particles
DOI: 10.1142/s0217732390001633
1990
Cited 10 times
ON A POSSIBLE CORRESPONDENCE OF THE NEW NARROW RESONANCES IN CHARGED PARTICLE SYSTEMS TO THE RELATIVISTIC COULOMB LEVELS IN CONTINUUM
In the paper the existence of new quasi-stationary levels in the relativistic Coulomb problem is predicted and their positions are calculated on the basis of the numerical solution of the quasi-potential equation. The results obtained are used for interpretation of the narrow electron-positron resonances revealed in heavy ions collisions and of the diproton resonances observed in neutron-proton interactions. The close relationship of the observed states with the von Neumann-Wigner levels embedded in the continuum, is indicated.
DOI: 10.1016/0370-2693(92)90866-3
1992
Cited 10 times
On a mechanism of GSI resonances production
A mechanism of production of narrow e+e− peaks in heavy ion collisions is discussed. It is based on results giving new levels of a relativistic Coulomb system according to the numerical solution of the single-time relativistic equation. The mechanism describes the totality of data and provides a number of definite predictions.
DOI: 10.1007/bf01032088
1976
Cited 7 times
Equation for density matrix and scaling properties of the inclusive cross section
DOI: 10.1016/s0370-2693(01)01456-3
2002
Cited 7 times
On the parameters of the QCD-motivated potential in the relativistic independent quark model
In the framework of the relativistic independent quark model the parameters of the QCD-motivated static potential and the quark masses are calculated on the basis of the 1−− meson mass spectra. The value of the confining potential coefficient is found to be (0.197±0.005) GeV2 for quark–antiquark interaction independently on their flavours. The dependence of the quasi-Coulombic potential strength on the interaction distance are consistent with the QCD-motivated behaviour. The qq̄-separations are evaluated and the e+e− decay widths are estimated with the help of relativistic modification of the Van Royen–Weisskopf formula.
DOI: 10.1007/bf01038043
1970
Cited 4 times
Amplitude characteristic of forward scattering at high energies
DOI: 10.1007/bf01035978
1970
Cited 3 times
Scattering of fast particles by Coulomb and short-range potentials
DOI: 10.48550/arxiv.hep-ph/9701412
1997
Cited 6 times
Physical results by means of CompHEP
The CompHEP package was developed for calculations of decay and high energy collision processes with, correspondingly, up to 5 and 4 final particles in the lowest order (tree) approximation. The main idea put into CompHEP was to make available passing from the Lagrangian to final distributions efficiently with high level automation what is extremely needed in collider physics. The present talk describes a general structure of the CompHEP facilities and reports some physical results obtained with its help. The main purpose of the talk is to attract the attention of high energy physicists to this user-friendly package which is completely aimed at making easier their routine and tedious calculations in the TeV region.
DOI: 10.1007/bf01041675
1975
Cited 4 times
Analytic properties of the U matrix
2009
CompHEP 4.5 Status Report
We present a new version of the CompHEP program package, version 4.5. We describe new options and techniques implemented in the version: interfaces to ROOT and HERWIG, parallel calculations, generation of the XML-based header in event files (HepML), full implementation of the Les Houches agreements (LHA I, SUSY LHA, LHA PDF, Les Houches Event format), cascade matching for intermediate scalar resonances, etc.
DOI: 10.1016/0370-2693(95)00444-p
1995
Cited 6 times
Single leptoquark production associated with hard photon emission in ep collisions at high energies
In this paper we consider single leptoquark resonance production associated with the emission of a hard photon. We have obtained analytical formulæ for differential and total cross sections for the cases of scalar and vector leptoquarks. We have found that in reactions with scalar leptoquarks there is no photon radiation in some directions depending on the leptoquark electric charge (the radiative amplitude zero — the RAZ effect). For vector leptoquarks the exact RAZ is present only in the case of Yang-Mills coupling. We propose to use the RAZ effect to determine the types of leptoquarks. We conclude also that this effect opens a possibility to measure the leptoquark anomalous magnetic moment.
DOI: 10.4213/tmf360
2002
Cited 4 times
Релятивистские кварковые модели в квазипотенциальном подходе
DOI: 10.1007/bf01038300
1970
Second Born approximation for the phase of scattering by smooth potentials
1995
Cited 5 times
Event Generators for WW Physics
The report summarizes the results of the activities of the Working Group on Event Generators for WW Physics at CERN during 1995.
DOI: 10.1007/bf02804876
1981
Cited 4 times
New scaling properties of the structure functions in the single-time formulation of the qauntum field theory
DOI: 10.1007/bf01648777
1983
Cited 4 times
On behaviour of the form factor of decay of the 63-1k63-1k63-1kinto the dalitz pair in a region of small invariant masses
2006
Selection of Single Top Events with the CMS Detector at LHC
DOI: 10.1088/1742-6596/920/1/012007
2017
CompHEP: developments and applications
New developments of the CompHEP package and its applications to the top quark and the Higgs boson physics at the LHC collider are reviewed. These developments were motivated mainly by the needs of experimental searches of DO (Tevatron) and CMS (LHC) collaborations where identification of the top quark and the Higgs boson in the framework of the Standard Model (SM) or possible extensions of the SM played an important role. New useful features of the CompHEP Graphics User Interface (GUI) are described.
DOI: 10.1007/bf01017486
1988
Cited 4 times
Approximate analytic solution of a quasipotential equation
DOI: 10.1016/0370-2693(96)00232-8
1996
Cited 4 times
On the universality of quark-antiquark interactions in the independent quark model
Parameters of the QCD-motivated static potential are evaluated on the basis of 1−− meson mass spectra. Their values are found to be with high precision the same for different quark-antiquark interactions independently on the quark flavours. Using these universal parameters the renormalization group invariant masses of quarks are calculated. It is also shown that the masses of π-meson radial excitations in this model are compatible with experimental data.
DOI: 10.1007/bf01028234
1976
Cited 3 times
Application of density matrix to the description of the scaling properties of deep inelastic electron scattering
DOI: 10.1007/bf01016385
1988
Cited 3 times
On the spectrum of a relativistic bound system in a quasipotential well with barrier
DOI: 10.1007/bf01018247
1984
Cited 3 times
Decay of a bound state of A ?+?? pair into an e+e? Dalitz pair and A photon
DOI: 10.1007/bf01036629
1975
Three-particle interaction in scattering on a bound state
DOI: 10.1142/9789812772657_0040
2006
MASS SPECTRA OF RADIALLY AND ORBITALLY EXCITED STATES OF MESONS
Meson mass spectra, evaluated in the framework of the relativistic model of quasi-independent quarks, are presented. Mass values are obtained with the help of numerical calculations based on the Dirac equation and by phenomenological mass formulae. The Dirac equation involves the potential, which is sum of the vector quasi-Coulombic potential and the scalar linear rising confinement potential. The phenomenological mass formulae are applied to excited meson states consisting of u-, d-quarks and antiquarks with isotopical spin I=1. A comparison of the evaluated mass spectra with existing data is performed. Problems of identification of some meson states in vector and scalar channels are discussed.
DOI: 10.1016/0370-2693(94)00537-h
1995
Cited 3 times
Erratum
In this paper we consider single leptoquark resonance production associated with the emission of a hard photon. We have obtained analytical formulae for differential and total cross sections for the cases of scalar and vector leptoquarks. We have found that in reactions with scalar leptoquarks there is no photon radiation in some directions depending on the leptoquark electric charge (the radiative amplitude zero - the RAZ effect). For vector leptoquarks the exact RAZ is present only in the case of Yang-Mills coupling. We propose to use the RAZ effect to determine the types of leptoquarks. We conclude also that this effect opens a possibility to measure the leptoquark anomalous magnetic moment.
2014
Measurement of the t t-bar production cross section in the dilepton channel in pp collisions at sqrt(s) = 8 TeV
2016
Measurement of the t-tbar production cross section using events with one lepton and at least one jet in pp collisions at √ s = 13 TeV
2016
Measurement of the inelastic cross section in proton-lead collisions at sqrt(s[NN]) = 5.02 TeV
DOI: 10.1007/bf01017106
1987
Exact solution of a quasipotential equation by contour integration
DOI: 10.1007/bf02071478
1996
Exact solution of the Bethe-Salpeter equation with retarding propagators in the Wick-Cutkosky model
DOI: 10.1007/bf01036025
1971
Electromagnetic corrections to the total cross sections for the interaction of hadrons
2013
Measurement of the Lambda(b0) lifetime in pp collisions at sqrt(s)=7 TeV
2013
Measurement of the t-tbar production cross section in the all-jet final state in pp collisions at sqrt(s) = 7 TeV
2012
Search for $B^0_s to μ^+ μ^-$ and $B^0 to μ^+ μ^-$ decays
DOI: 10.1016/0370-2693(95)00826-7
1995
On a method of identification of leptoquarks produced in ep collisions
We analyse numerically manifestations of the radiative amplitude zero (RAZ) effect in single leptoquark production associated with hard photon emission. We present some quantitative conclusions on the possibility to distinguish leptoquark charges produced in ep collisions taking account of three-body final state subprocesses and of proton structure functions. Applying this method to HERA and possible LEP+LHC experiments we show that the RAZ analysis can serve as a tool to determine the leptoquark electric charge up to large leptoquark masses.
DOI: 10.1007/bf01018942
1979
Should allowance be made for the contribution of many-photon exchange to deep inelastic scattering of electrons on protons?
DOI: 10.48550/arxiv.0901.4757
2009
CompHEP 4.5 Status Report
We present a new version of the CompHEP program package, version 4.5. We describe new options and techniques implemented in the version: interfaces to ROOT and HERWIG, parallel calculations, generation of the XML-based header in event files (HepML), full implementation of the Les Houches agreements (LHA I, SUSY LHA, LHA PDF, Les Houches Event format), cascade matching for intermediate scalar resonances, etc.
DOI: 10.1007/bf01129182
1983
Covariant three-dimensional equation for the wave function of the ? meson in the composite model of spinor quarks
DOI: 10.1007/bf01027796
1982
A method of solving quasipotential equations
1997
LIGHT HIGGS BOSON SIGNAL AT LHC IN THE REACTIONS AND
We discuss the SM Higgs discovery potential of the LHC in the channels and when the jet or lepton is observed at sufficiently high and a small rapidity to be reliably identified. We calculate all the signal subp rocesses and the irreducible background with realistic kinematical cuts. The reducible QCD background is also estimated. We conclude that the channel can give about 120-200 signal events for Higgs mass 100140 GeV at the integrated luminosity of 30fb . This signal rate should be compared with only 330-600 events for the irreducible background per two-photon invariant mass interval of 2 GeV. We estimate the QCD reducible background at the level of % of the irreducible one. Thus, one may hope that the Higgs boson can be discovered already after 1-1.5 years of LHC operation at a low luminosity. At a high luminosity of 10 cm s the observation of high Higgs bosons in this channel will be possible with significance higher than 15 for 100fb .
2020
Constraints on the chi_c1 versus chi_c2 polarizations in proton-proton collisions at sqrt(s) = 8 TeV
1989
COMPHEP: COMPUTER SYSTEM FOR CALCULATIONS OF PARTICLE COLLISION CHARACTERISTICS AT HIGH-ENERGIES
1970
MODEL OF MULTI-PARTICLE PRODUCTION.
DOI: 10.1134/1.1866385
2005
Relativistic description of P γ*γ transition form factors within the quasipotential approach
1970
SOLUTION OF UNITARITY CONDITION FOR TWO-PARTICLE PROCESS AMPLITUDE AT HIGH ENERGIES.
1970
SOLUTION OF THE UNITARY CONDITION FOR THE SPIN PARTICLE SCATTERING AMPLITUDE.
1970
SOLUTION OF UNITARITY CONDITION FOR THE ELASTIC SCATTERING AMPLITUDE FOR HIGH ENERGIES.
1970
SOLUTION OF THE UNITARITY CONDITION FOR ELASTIC SCATTERING AMPLITUDE AT HIGH ENERGIES.
2005
High Energy Physics and Quantum Field Theory : proceedings of the XVIII International Workshop : St. Petersburg, Russia, June 17-23, 2004
1970
SOLUTION ON THE UNITARITY RELATION FOR SCATTERING AMPLITUDE OF PARTICLES WITH SPIN.
1969
ANGLE DISTRIBUTIONS AND POLARIZATIONS IN HIGH ENERGY PION--NUCLEON SCATTERING.
1968
SCATTERING OF HIGH-ENERGY PARTICLES ON SMOOTH POTENTIALS.
1969
SEMI-PHENOMENOLOGICAL ANALYSIS OF SCATTERING AMPLITUDE AT HIGH ENERGIES.
1968
SEMIPHENOMENOLOGICAL ANALYSIS OF SCATTERING AMPLITUDE AT HIGH ENERGIES.
1969
SOLUTION OF THE UNITARITY EQUATION FOR THE ELASTIC SCATTERING AMPLITUDE AT HIGH ENERGY.
1969
FORWARD SCATTERING AMPLITUDE BEHAVIOR AT HIGH ENERGIES.
1971
ACCOUNT OF EXCHANGE INTERACTION IN SCATTERING ON SMOOTH QUASIPOTENTIAL.
1971
Inelastic processes at high energies and effective quasipotential.
1971
Connection between diffraction peak slopes of high-energy backward and forward scattering.
DOI: 10.1007/bf01028131
1971
Condition of asymptotic equality of total cross sections in two simple models
1971
ONE-TIME EQUATION FOR A TWO-PARTICLE IN QUANTUM FIELD THEORY
1971
SLOW CHANGE OF THE TOTAL CROSS SECTIONS IN THE HIGH-ENERGY REGION.
1972
CONNECTION OF THE TOTAL CROSS SECTION WITH THE DIFFRACTION PEAK OF ELASTIC SCATTERING.
1973
Spin effects in elastic scattering at angles close to 180$sup 0$
1972
Total cross section for the interaction of hadrons at high energies
1973
Total cross-section increase in the elastic scattering model
DOI: 10.1007/bf01036360
1973
Some properties of the scattering amplitude in the framework of the relativistic equation of damping theory
1974
One-particle distribution in the optical model
1973
Single-time equation for particle scattering on bound state in quantum field theory
DOI: 10.1007/978-1-4684-2925-1_17
1976
Equation for Density Operator and Scaling Properties of Inclusive Cross Section
DOI: 10.1007/bf01036711
1977
Behavior of inclusive cross sections in the region of large transverse momenta and singularity of the interaction
DOI: 10.1007/bf01029870
1975
Exchange interaction in scattering on a bound state
1976
OF THE INCLUSIVE CROSS SECTION
in quantum field theory. The distinctive feature of quantum field theory is the functional nature of the equations, and therefore any problem, even a two-particle one, here becomes a problem with infinitely many degrees of freedom. Modern mathematical formalism does not enable one to solve these flmctional equations in the general case. Therefore, in quantum theories with nonweak coupling, in which perturbation theory does not apply, it is more expedient to attempt to construct simpler dynamical equations that can serve as a basis for model constructions and enable one to describe systems of interacting particles. In particular, the wave function of a system of two interacting particles satisfies a quasipotential equation [1], which is a relativistic analog of the SchrSdinger equation. The kernel of this equation is a quasipotential, which is a complex function that depends on the energies of the particles and is a generalization of the ordinary potential in nonrelativistic quantum mechanics. The imaginary part of the quasipotential contains the contribution from all the many-particle intermediate states and must have a definite sign because of the unitarity condition. The quasipotential approach takes its simplest and most lucid form in the framework of the one-time formulation of the two-body problem in quantum field theory [2]. It is here that the analogy with nonrelativistic quantum mechanics becomes obvious. Of course, the interaction quasipotential of two relativistic particles itself remains unknown, but the analogy with quantum mechanics enables one to make a number of model assumption.s in order to construct this quasipotential and describe the experimental data [3]. In studying processes of the multiple production of particles, we arrive at the many-body problem in quantum field theory. Therefore, the description of such processes entails further difficulties. The point is that, compared with elastic processes, the number of variables is here increased drastically and it is much harder to construct schemes for calculating the corresponding matrix elements. Nevertheless, it appears to be possible to generalize the quasipotential approach to the case of three [4, 5] and more interacting particles by constructing a relativistic analog of the SchrSdinger equation for the wave function of a system with a fixed number of particles. In this case, the many-particle quasipotential is not a sum of the interaction quasipotentials of individual pairs of particles. However, the description of inelastic processes at high energies is further complicated by the fact that the number of possible reaction channels is extremely large, and it is hard to separate processes with a fixed number of particles in the final state. In this case, one is interested in the momentum distribution of, say, one or two particles in the final state and one is not interested in obtaining information Institute of High-Energy Physics, Serpuldlov. Translated from Teoreticheskaya i Matematiches
1977
Density matrix for the multiple production of soft mesons
An equation for the density matrix is used to calculate the inclusive cross section for producing soft mesons. The results are in agreement with the conclusions of the optical model of multiple production, thereby confirming the assumptions of this model.
1975
One-body distribution in the optical model
1999
Instanton propagator in scalar model: exact expression and contribution to instanton induced processes
The propagator in the instanton background in the (−λφ4) scalar model in four dimensions is studied. Leading and sub-leading terms of its asymptotics for large momenta and its on-shell double residue are calculated. These results are applied to the analysis of the initial state and initial-final state corrections and the calculation of the next-to-leading (propagator) correction to the exponent of the cross section of multiparticle scattering processes.
1997
Search for Higgs boson at LHC in the reaction p p ---> gamma gamma + jet at a low luminosity
DOI: 10.1007/bf01019117
1981
Unitarity bound for three-particle scattering amplitude