Reduction of separable Bethe-Salpeter equation kernels to quasipotential equations

Journal Article · Sat Jan 01 04:00:00 EST 1983 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.27.265· OSTI ID:6206859

Froehlich, J; Schwarz, K; Zingl, H F.K.

In view of relativistic three-body calculations we have investigated several quasipotential approximations to the Bethe-Salpeter equation assuming separable kernels with Yamaguchi-type form factors. In particular we have calculated ..pi..-N and N-N phase shifts with l = 0, 1. As a result it is shown that the choice of a symmetric or unsymmetric reduction of the Bethe-Salpeter equation for ..pi..N or NN scattering is less important in comparison to the choice of the analytic form of the pole. The quasiparticle equation proposed by Erkelenz and Holinde has turned out to be superior to other quasiparticle equations which have also been considered. As a consequence we present parameters for a separable potential to determine ..pi..-N and N-N phase shifts.

• Research Organization: Institut fuer Theoretische Kernphysik, Universitaet Karlsruhe, Karlsruhe, Federal Republic of Germany
• OSTI ID: 6206859
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 27:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BETHE-SALPETER EQUATION
ENERGY RANGE
EQUATIONS
FORM FACTORS
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
KERNELS
MANY-BODY PROBLEM
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE PROPERTIES
PHASE SHIFT
PION-NUCLEON INTERACTIONS
QUASIPOTENTIAL EQUATION
RELATIVISTIC RANGE
SCATTERING
THREE-BODY PROBLEM