Inverse scattering problem in nonrelativistic S-matrix theory

Journal Article · Mon Mar 14 23:00:00 EST 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.1790· OSTI ID:7225917

Cushing, J T

On the basis of unitarity and the Mandelstam representation, the inverse scattering problem is solved in a nonrelativistic S-matrix framework. Specifically, it is shown that the s-wave scattering amplitude, A/sub 0/(s), will uniquely determine the full scattering amplitude, A (s,t), provided no more than one subtraction in t is required and provided only the s wave has bound states. Generalizations of this result are also discussed.

• Research Organization: Department of Physics, University of Notre Dame, Notre Dame, Indiana 46556
• OSTI ID: 7225917
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 15:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645500* -- High Energy Physics-- Scattering Theory-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
BOUND STATE
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
INVERSE SCATTERING PROBLEM
MANDELSTAM REPRESENTATION
MATRICES
PARTIAL WAVES
S MATRIX
S WAVES
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
UNITARITY
WAVE EQUATIONS