Equivalence between deep energy-dependent and shallow angular-momentum-dependent potentials

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

DOI:https://doi.org/10.1103/PhysRevC.42.411· OSTI ID:6358821

Fiedeldey, H; Sofianos, S A; Papastylianos, A ^[1]; Amos, K ^[2]; Allen, L J ^[3]

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1. Department of Physics, University of South Africa, Pretoria (Republic of South Africa)
2. School of Physics, University of Melbourne, Parkville, Victoria (Australia)
3. School of Science and Mathematics Education, University of Melbourne, Parkville, Victoria (Australia)

Marchenko inversion followed by Baye's supersymmetric transformation scheme determines shallow, {ital l}-dependent but energy-independent singular local potentials that are strictly phase equivalent to given nonlocal resonating group model interactions. The resulting potential has none of the Pauli forbidden states present in the corresponding resonating group model interaction, but ensures that a generalized Levinson theorem is still valid. The intermediate step of Marchenko inversion is introduced to transform the energy-dependent deep local potentials of Horiuchi, which are phase and spectrum equivalent to the resonating group model interaction, into an energy-independent potential, suitable for the application of Baye's supersymmetric scheme for the removal of the Pauli forbidden states.

• OSTI ID: 6358821
• Journal Information: Physical Review, C (Nuclear Physics); (USA), Vol. 42:1; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEAR POTENTIAL
ANGULAR MOMENTUM
SUPERSYMMETRY
ALPHA PARTICLES
DINEUTRONS
LEVINSON THEOREM
NUCLEON-NUCLEON INTERACTIONS
RESONATING-GROUP METHOD
BARYON-BARYON INTERACTIONS
BARYONS
CHARGED PARTICLES
DIBARYONS
ELEMENTARY PARTICLES
FERMIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
NEUTRONS
NUCLEONS
PARTICLE INTERACTIONS
POLYNEUTRONS
POTENTIALS
SYMMETRY
VARIATIONAL METHODS
653003* - Nuclear Theory- Nuclear Reactions & Scattering