Generalization of the Jost Function and Its Application to Off-Shell Scattering

Journal Article · Mon Oct 01 04:00:00 EDT 1973 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.8.1255· OSTI ID:4356821

Fuda, Michael G.; Whiting, James S.

An off-Shell generalization of the Jost function is developed within the framework of the differential-equation approach to the off-shell T matrix. Irregular solutiors of the inhomogenteous Schrodinger-like equation that occurs in this approach are introduced, and their behavior at the origin is used to define an off-shell Jost function. The half-off-shell T matrix is expressed directly in terms of the off-shell Jost function. It is shown how the fully off- shell T matrix for a particular partial wave can be expressed simply in terms of a single integral involving the irregular solution for that partial wave. An integral equation for the irregular solution is developed, and used to derive an integral representation for the off-shell Jost function. Iteration of the integral equation leads to a series of successive approximations to the T matrix. The formalism is applied to several examples, including a boundary-condition model.

• Research Organization: Department of Physics and Astronomy, State University of New York at Buffalo, Buffalo, New York 14214
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-014002
• OSTI ID: 4356821
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 8; ISSN 0556-2813; ISSN PRVCAN
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*JOST FUNCTION-- SCATTERING AMPLITUDES
*S MATRIX
N64500* --Physics (High Energy)--Scattering Theory
N69230 - -Physics (Nuclear)--Nuclear Theory--Nuclear Reactions & Scattering
PARTIAL WAVES
PHASE SHIFT
SCHROEDINGER EQUATION
SQUARE-WELL POTENTIAL