Nucleon-nucleon scattering in the 0-6 GeV range and the relativistic optical model based on deep attractive forbidden state potentials

• Published in: Physical review. C, Nuclear physics Nuclear physics, 1991-06, Vol.43 (6), p.2499-2508
• Main Authors: NEUDATCHIN, V. G, YUDIN, N. P, DORODNYKH, YU. L, OBUKHOVSKY, I. T
• Format: Article
• Language: English
• Subjects: 653003 - Nuclear Theory- Nuclear Reactions & Scattering; Atomic and molecular physics; BARYON-BARYON INTERACTIONS; BOSON-EXCHANGE MODELS; Classical and quantum physics: mechanics and fields; COMPOSITE MODELS; CROSS SECTIONS; DIFFERENTIAL CROSS SECTIONS; Electronic structure of atoms, molecules and their ions: theory; ENERGY RANGE; Exact sciences and technology; FIELD THEORIES; General theory of scattering; GEV RANGE; GEV RANGE 01-10; HADRON-HADRON INTERACTIONS; INTERACTIONS; MATHEMATICAL MODELS; NUCLEAR PHYSICS AND RADIATION PHYSICS; NUCLEON-NUCLEON INTERACTIONS; OBE MODEL; OPE MODEL; OPTICAL MODELS; Other topics in the theory of the electronic structure of atoms, molecules and their ions; PARAMETRIC ANALYSIS; PARTIAL WAVES; PARTICLE INTERACTIONS; PARTICLE MODELS; PERIPHERAL MODELS; PHASE SHIFT; Physics; POLARIZATION; QUANTUM CHROMODYNAMICS; QUANTUM FIELD THEORY; QUARK MODEL
• ISSN: 0556-2813; 1089-490X
• DOI: 10.1103/PhysRevC.43.2499

The optical relativistic model based on deep attractive forbidden state quasipotentials describes well the angular and energy dependence of differential {ital np}- and {ital pp}-scattering cross sections and polarizations, including the transition from the {ital U}-shaped form of the angular distributions of {ital np} scattering to forward scattering at the energy {ital E}{sub lab}{ge}1 GeV, when the scattering {ital P}-phase shifts, equal to {pi} at low energies, pass through {pi}/2 (the triplet and singlet {ital S}-phase shifts start from the values 2{pi} and {pi}, respectively). The higher scattering phase shifts ({ital L}{ge}2) are small everywhere. The potentials are determined from the scattering phase shifts in the low-energy region {ital E}{sub lab}{lt}1 GeV. They have been chosen in the simple Gaussian form and for different partial waves they differ in depth and width (from {ital V}{sub 0}=0.73 GeV, {ital a}=0.85 fm to {ital V}{sub 0}=2.40 GeV, {ital a}=0.45 fm). A few negative phase shifts {sup 3}{ital D}{sub 1}, {sup 3}{ital F}{sub 3}, {sup 3}{ital G}{sub 3}, which reflect the peripheral repulsion due to the spin-orbital and tensor interactions, are calculated by means of the one-boson-exchange potential periphery matched to the central attraction. The imaginary part {ital W} of the optical potential {ital V}+{ital iW} is determined by the value {sigma}{sub tot}/{sigma}{sub el} and grows rapidly with increase in the energy {ital E}{sub lab}, so that the phase-shift values lose sensitivity to the real part {ital V} of optical potential if {ital E}{sub lab} exceeds 5 GeV. Finally, the quantum chromodynamics (QCD) effects are discussed which may underlie the potentials considered.