On the field theoretical approach to the nucleon-nucleon scattering problem in the low-energy region
A I Machavariani; A J Chelidze; A I Machavariani; Inst. of High Energy Phys., Tbilisi State Univ., Georgia; A J Chelidze; Inst. of High Energy Phys., Tbilisi State Univ., Georgia
Журнал:
Journal of Physics G: Nuclear and Particle Physics
Дата:
1993-09-01
Аннотация:
A relativistic three-dimensional Lippmann-Schwinger-type equation for the NN scattering matrix is derived from the field-theoretical Low equation. The potential of the latter nonlinear integral equation uniquely determines the potential of the suggested Lippmann-Schwinger-type equation and consists of two parts. The first part, calculated with the use of the simplest phenomenological meson-nucleon Lagrangians, reproduces the one-boson-exchange (OBE) NN potential. The second part of the potential of the Low equation is defined by the on-mass-shell meson-exchange terms and is a non-Hermitian operator. The numerical calculation carried out in the framework of the OBE model of NN interactions has demonstrated that the on-mass-shell meson-exchange terms give an essential contribution to the NN phase shifts, whereas the contribution from the non-Hermitian part of the potential can safely be neglected.
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