Analytic approach to the problem of constructing effective nucleon-nucleon potentials in the region of low and intermediate energies

Journal Article · Wed Mar 15 04:00:00 EST 2006 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778806030033· OSTI ID:21076105

Safronov, A A ^[1]

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1. Moscow State University, Institute of Nuclear Physics (Russian Federation)

A new relativistic approach to the problem of constructing effective local hadron-hadron potentials is proposed on the basis of analytic S-matrix theory and Gelfand-Levitan-Marchenko-Martin methods for solving the inverse quantum scattering problem. An effective potential is defined as a local operator in a partial-wave equation of the quasipotential type such that it generates an on-shell relativistic (Feynman) scattering amplitude that has required discontinuities at dynamical cuts. The method is used to construct nucleon-nucleon potentials in the {sup 1}S{sub 0}-and {sup 3}S{sub 1}-wave states. The dynamical discontinuities of partial-wave amplitudes for nucleon-nucleon scattering are calculated on the basis of the one-boson exchange model that takes into account the exchanges of {pi}, {sigma}, {rho}, {omega}, {eta}, and {alpha}{sub 0} mesons. It is shown that the nonlinear relation between the discontinuities of partial-wave scattering amplitudes at dynamical cuts and interaction operators generates additional short-range repulsion not associated with omega-meson exchange. The experimental energy dependences of phase shifts in the channels of nucleon-nucleon scattering that are considered here are faithfully reproduced by the results of the calculations up to the projectile-nucleon kinetic energies in the range T = 1.5-2.0 GeV.

• OSTI ID: 21076105
• Journal Information: Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 3 Vol. 69; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOSON-EXCHANGE MODELS
ENERGY DEPENDENCE
GEV RANGE 01-10
KINETIC ENERGY
MESONS
NONLINEAR PROBLEMS
NUCLEON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON POTENTIAL
PARTIAL WAVES
PHASE SHIFT
PROJECTILES
RELATIVISTIC RANGE
S MATRIX
SCATTERING
SCATTERING AMPLITUDES
WAVE EQUATIONS