Multichannel scattering with nonlocal and confining potentials. II. Application to a nonrelativistic quark model of the NN interaction

Journal Article · Wed Jan 01 04:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.45.430· OSTI ID:5106251

Vidal, F; LeTourneux, J ^[1]

---

1. Laboratoire de Physique Nucleaire, Universite de Montreal, Case Postale 6128, Succ. A, Montreal, Quebec, H3C 3J7 (Canada)

The generalized Levinson theorem for systems involving nonlocal and confining potentials is illustrated by a nonrelativistic quark model for the {ital NN} interaction, formulated within the framework of the resonating group (RG) method. In order to apply the results of the preceding paper to this problem, we first show how the system of integro-differential equations of the RG method can be transformed into a system of coupled Schroedinger equations with nonlocal potentials. The forbidden states arising in the many-channel wave function from the Pauli principle are then shown to play the same role as normalizable bound states, as far as the generalized Levinson theorem is concerned. Numerical results are presented for the {ital l}=0 partial wave in the ({ital ST})=(01) channel.

• OSTI ID: 5106251
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 45:1; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

663300* -- Nuclear Reactions & Scattering
General-- (1992-)
663430 -- Nucleon-Induced Reactions & Scattering-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
COMPOSITE MODELS
COUPLED CHANNEL THEORY
EQUATIONS
FREDHOLM EQUATION
HADRON-HADRON INTERACTIONS
INTEGRAL EQUATIONS
INTERACTIONS
MATHEMATICAL MODELS
NONLOCAL POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
POTENTIALS
QUARK MODEL
RESONATING-GROUP METHOD
VARIATIONAL METHODS