Off-energy-shell generalization of the results in potential scattering

Journal Article · Tue Feb 01 04:00:00 EST 1977 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.15.561· OSTI ID:7316397

Warke, C S; Srivastava, M K

Within the framework of nonrelativistic potential scattering theory, an off-energy-shell generalization of the various solutions and the potential matrix elements is carried out. Some relations between these solutions and between the matrix elements are derived. The off-energy-shell generalization of the Jost--Pais theorem is proved for a general nonlocal interaction. A constraint on the t matrix elements of a local potential is obtained. For given t matrix elements, the value of a certain expression gives a measure of the nonlocality of the underlying interaction.

• Research Organization: Physics Department, McMaster University, Hamilton, Ontario Canada L8S 4M1
• OSTI ID: 7316397
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Vol. 15:2; 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
BOUNDARY CONDITIONS
DIFFERENTIAL EQUATIONS
ELASTIC SCATTERING
EQUATIONS
FUNCTIONS
JOST FUNCTION
MATRICES
MATRIX ELEMENTS
POTENTIAL SCATTERING
S MATRIX
SCATTERING
SCHROEDINGER EQUATION
WAVE EQUATIONS