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

Journal Article · Fri Sep 01 00:00:00 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), Vol. 18:3
• Country of Publication: United States
• Language: English

Related Subjects

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