Complex local potential by Marchenko inversion of partly real and partly complex phase shift

Journal Article · Sun Jul 01 04:00:00 EDT 1990 · Physical Review, C (Nuclear Physics); (USA)

DOI:https://doi.org/10.1103/PhysRevC.42.142· OSTI ID:6358828

Papastylianos, A; Sofianos, S A; Fiedeldey, H ^[1]; Alt, E O ^[2]

---

1. Department of Physics, University of South Africa, P.O. Box 392, Pretoria (South Africa)
2. Department of Physics, University of South Africa, P.O. Box 392, Pretoria (South Africa) Institut fuer Physik, Universitaet Mainz, P.O. Box 3980, Mainz (West Germany)

By using the (in general complex) phase shifts for elastic neutron-deuteron scattering in the quartet channel, calculated by means of the exact few-body theory, as input in the fixed-{ital l} inverse scattering theory of Marchenko, we construct equivalent local two-body potentials. The latter, though being complex and energy independent, nevertheless reproduce the input phase shifts, which are real below and complex above the deuteron breakup threshold, to a high accuracy. It is even more remarkable that the scattering wave functions (with real boundary conditions) for energies in the elastic regime, calculated with these potentials, are real outside the range of the force, and to a very good approximation real also in the interior region.

• OSTI ID: 6358828
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Journal Name: Physical Review, C (Nuclear Physics); (USA) Vol. 42:1; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

653003* -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BREAKUP REACTIONS
ELASTIC SCATTERING
FUNCTIONS
HADRON-HADRON INTERACTIONS
INTERACTIONS
INVERSE SCATTERING PROBLEM
MANY-BODY PROBLEM
NEUTRON-DEUTERON INTERACTIONS
NUCLEAR REACTIONS
NUCLEON-DEUTERON INTERACTIONS
PARTIAL WAVES
PARTICLE INTERACTIONS
PHASE SHIFT
S WAVES
SCATTERING
TWO-BODY PROBLEM
WAVE FUNCTIONS