Validity of the unitary pole approximation at positive energies for hard-core exponential potentials

Journal Article · Fri Sep 01 04:00:00 EDT 1978 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.18.1537· OSTI ID:6711472

Vyas, R; Mathur, V S

Exact analytic expressions for the S-wave phase shifts and half-shell functions have been obtained in the case of exponential potentials with and without hard core. The same quantities have also been computed in the unitary pole approximation to the same potential. A comparison of the exact and unitary pole approximation values shows that the unitary pole approximation is a fairly good approximation at positive energies too, particularly when the potential has an infinitely repulsive core.

• Research Organization: Department of Physics, Banaras Hindu University, Varanasi-221005, India
• OSTI ID: 6711472
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 18:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653007 -- Nuclear Theory-- Nuclear Models-- (-1987)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUND STATE
EQUATIONS
HARD-CORE POTENTIAL
INTEGRAL EQUATIONS
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL MODELS
MATRICES
MATRIX ELEMENTS
NUCLEAR MODELS
NUCLEAR POTENTIAL
PARTIAL WAVES
PHASE SHIFT
S MATRIX
S WAVES
SHELL MODELS
TWO-BODY PROBLEM
UNITARY POLE APPROXIMATION