Rank-one inverse scattering problem: Reformulation and analytic solutions

Journal Article · Thu Mar 01 04:00:00 EST 1984 · Phys. Rev. C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.29.695· OSTI ID:6895937

Hartt, K

Using the K-matrix formalism, we give a simplified reformulation of the S-wave rank-one inverse scattering problem. The resulting Cauchy integral equation, obtained differently by Gourdin and Martin in their first paper, is tailored to rational representations of F(k) = k cot(delta/sub 0/). Use of such F(k) permits a simple but general solution without integration, giving analytic form factors having a pole structure like the S matrix that are reducible to rational expressions using Pade approximants. Finally, we show a bound state pole condition is necessary, and makes the form factor unique.

• Research Organization: Physics Department, University of Rhode Island, Kingston, Rhode Island 02881
• OSTI ID: 6895937
• Journal Information: Phys. Rev. C; (United States), Journal Name: Phys. Rev. C; (United States) Vol. 29:3; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANALYTICAL SOLUTION
BOUND STATE
BOUNDARY-VALUE PROBLEMS
FORM FACTORS
INVERSE SCATTERING PROBLEM
K MATRIX
MATRICES
NUCLEON-NUCLEON POTENTIAL
PADE APPROXIMATION
PARTIAL WAVES
PARTICLE PROPERTIES
PHASE SHIFT
POTENTIALS
S MATRIX
S WAVES