Analytic properties of nonrelativistic two-body off-shell amplitudes II. Off-shell generalizations of the Jost formalism

Journal Article · Sat Apr 01 04:00:00 EST 1978 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(78)90067-2· OSTI ID:6841657

Pasquier, J Y; Pasquier, R

The connections between several studies of the off-shell amplitude, based on apparently different criteria, are first clarified and expressed through more coincise operator notion. In all cases the resolution of the underlying dynamical relations is reduced to a two-step procedure. Underconditions which are discussed, the latter implies only Volterra-like integral equations followed by simple quadratures and algebraic operations. Then it is shown that the off-shell generalizations of the Jost formalism which are defined by such approaches can as well be introduced without reference to any explicit dynamical framework. Examples are given specifying in such model independent ways the main properties of the associated Jost-type functions. The relative interest of different representations built with these functions is also examined, and on this occasion new three-separable-term approximations are a useful guideline for introducing similar formalisms in other potential-like framework, and further comments on such possible extensions are added.

• Research Organization: Laboratoire de Physique Therique et Hautes Energies, Universite Paris-Sud, Orsay, France
• OSTI ID: 6841657
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 111:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
EQUATIONS
FUNCTIONS
INTEGRAL EQUATIONS
JOST FUNCTION
LIPPMANN-SCHWINGER EQUATION
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
N-D METHOD
SCATTERING AMPLITUDES
TWO-BODY PROBLEM
VOLTERRA INTEGRAL EQUATIONS
WAVE FUNCTIONS