Generalization of the Jost Function and Its Application to Off-Shell Scattering
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, Vol. 8, Issue 4; Other Information: Orig. Receipt Date: 30-JUN-74; ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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