Complex, energy-independent, local potential reproducing an absorptive phase shift and a bound state

Journal Article · Sat Jan 01 04:00:00 EST 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.49.176· OSTI ID:5407750

Alt, E O; Howell, L L; Rauh, M; Sofianos, S A ^[1]

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1. Institut fuer Physik, Universitaet Mainz, Mainz (Germany) Physics Department, University of South Africa, Pretoria (South Africa)

The triton binding energy, and the partly real and partly complex neutron-deuteron doublet channel elastic scattering phase shifts, calculated by means of the exact three-body theory, are used as input in the fixed-[ital l] inverse scattering theory of Marchenko. The local potentials obtained hereby are independent of energy, and complex. Their strong imaginary part reflects the strong absorption in the doublet channel arising from the opening of the deuteron breakup channel. For total orbital angular momentum [ital l] different from zero the potentials are unique, reproducing the input phase shift in the whole energy region. For [ital l]=0 where there exists, in addition, a bound state we construct a one-parameter class of complex local potentials which are phase--binding-energy equivalent; that is, each of its members reproduces, in addition to the partly complex phase shifts, the bound state with the physical, i.e., real binding energy. Correlations between the oscilliations in the radial independence of these equivalent potentials and physical properties of the input data are established.

• OSTI ID: 5407750
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 49:1; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663120* -- Nuclear Structure Models & Methods-- (1992-)
663510 -- Nuclear Mass Ranges-- A=1-5-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
BINDING ENERGY
BOUND STATE
CHARGED PARTICLES
DATA
ENERGY
HADRON-HADRON INTERACTIONS
INFORMATION
INTERACTIONS
MANY-BODY PROBLEM
NEUTRON-DEUTERON INTERACTIONS
NUCLEON-DEUTERON INTERACTIONS
NUMERICAL DATA
PARTICLE INTERACTIONS
PHASE SHIFT
POTENTIALS
THEORETICAL DATA
THREE-BODY PROBLEM
TRITONS