Soft two-pion-exchange nucleon-nucleon potentials

Journal Article · Sat Jun 01 00:00:00 EDT 1991 · Annals of Physics (New York); (United States)

DOI:https://doi.org/10.1016/0003-4916(91)90296-K· OSTI ID:6972176

Rijken, Th A ^[1]

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1. Univ. of Nijmegen (Netherlands)

Two-pion-exchange nucleon-nucleon potentials are derived for the pseudo-vector pion-nucleon interaction, assuming strong dynamical pair-suppression. At the pion-nucleon vertices the authors include Gaussian form factors, which are incorporated into the relativistic two-body framework by using a dispersion representation for the one-pion-exchange amplitude. The Fourier transformations are performed using a factorization technique for the energy denominators. This leads to analytic expressions for the TPE-potentials containing at most one-dimensional integrals. The TPE-potentials are calculated up to orders {line integral}{sup 4} and (m/M){line integral}{sup 4}. The terms of order {line integral}{sup 4} come from the adiabatic contributions of the parallel and crossed three-dimensional momentum-space TPE-diagrams, and from the non-adiabatic contributions of the OPE-iteration. The (m/M)-corrections are due to the 1/M-terms in the non-adiabatic expansion of the nucleon energies in the intermediate states, and the 1/M-terms in the pion-nucleon vertices. The latter are typical for the PV-coupling and would be absent for the PS-coupling. The Gaussian form factors lead to soft TPE-potentials. These potentials can readily be exploited in NN-calculations in combination with, e.g., the Nijmegen soft-core OBE-model, and in nuclear (matter) calculations.

• OSTI ID: 6972176
• Journal Information: Annals of Physics (New York); (United States), Vol. 208:2; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEON-NUCLEON POTENTIAL
OPE MODEL
ADIABATIC PROCESSES
CALCULATION METHODS
CORRECTIONS
FORM FACTORS
FOURIER TRANSFORMATION
NUCLEAR MATTER
OBE MODEL
TWO-BODY PROBLEM
BOSON-EXCHANGE MODELS
INTEGRAL TRANSFORMATIONS
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATTER
PARTICLE MODELS
PARTICLE PROPERTIES
PERIPHERAL MODELS
POTENTIALS
TRANSFORMATIONS
663120* - Nuclear Structure Models & Methods- (1992-)