Redundant states, reduced potentials, and extra nodes in the radial wave function

Journal Article · Tue Jan 01 04:00:00 EST 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.21.1· OSTI ID:5754249

Bagchi, B; Mulligan, B; Krause, T O

First-principle scattering calculations which include antisymmetrization of a projectile with respect to identical particles in the target result in a nonsymmetric nonlocal effective potential. Such a potential can lead to redundant states in the scattering wave function. In this case the potential is required to satisfy a consistency condition. We discuss this condition and the manner in which it can be imposed. We also discuss the replacement of this potential by a reduced symmetric nonlocal effective potential which does not produce redundant states. This reduced potential generates a scattering wave function orthogonal to the redundant states. If the original equation has one redundant state, the phase shift at zero energy is ..pi.., resulting in an extra node in the zero-energy wave function. The reduced effective potential must retain this extra node. This characteristic of the reduced effective potential is illustrated with an example. We show that the extra node produced by the potential in the example comes either from a spurious state or a bound state of that potential.

• Research Organization: Department of Physics, The Ohio State University, Columbus, Ohio 43210
• OSTI ID: 5754249
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 21:1; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

645500 -- High Energy Physics-- Scattering Theory-- (-1987)
653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BINDING ENERGY
BOUND STATE
EIGENVALUES
ENERGY
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
NONLOCAL POTENTIAL
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PAULI PRINCIPLE
PHASE SHIFT
POTENTIALS
SCATTERING
WAVE FUNCTIONS