Toward a consistent random phase approximation based on the relativistic Hartree approximation

Journal Article · Sun Mar 01 04:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.45.1089· OSTI ID:7205970

Price, C E; Rost, E; Shepard, J R ^[1]; McNeil, J A ^[2]

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1. Department of Physics, University of Colorado, Boulder, Colorado 80309 (United States)
2. Department of Physics, Colorado School of Mines, Golden, Colorado 80401 (United States)

We examine the random phase approximation (RPA) based on a relativistic Hartree approximation description for nuclear ground states. This model includes contributions from the negative energy sea at the one-loop level. We emphasize consistency between the treatment of the ground state and the RPA. This consistency is important in the description of low-lying collective levels but less important for the longitudinal ({ital e},{ital e}{prime}) quasielastic response. We also study the effect of imposing a three-momentum cutoff on negative energy sea contributions. A cutoff of twice the nucleon mass improves agreement with observed spin-orbit splittings in nuclei compared to the standard infinite cutoff results, an effect traceable to the fact that imposing the cutoff reduces {ital m}{sup *}/{ital m}. Consistency is much more important than the cutoff in the description of low-lying collective levels. The cutoff model also provides excellent agreement with quasielastic ({ital e},{ital e}{prime}) data.

• OSTI ID: 7205970
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 45:3; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

663120* -- Nuclear Structure Models & Methods-- (1992-)
663300 -- Nuclear Reactions & Scattering
General-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYON-BARYON INTERACTIONS
COLLECTIVE EXCITATIONS
ENERGY LEVELS
ENERGY RANGE
ENERGY-LEVEL TRANSITIONS
EXCITATION
FIELD THEORIES
GROUND STATES
HADRON-HADRON INTERACTIONS
HARTREE-FOCK METHOD
INTERACTIONS
MATHEMATICAL MODELS
NUCLEAR MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
QUANTUM FIELD THEORY
RANDOM PHASE APPROXIMATION
RELATIVISTIC RANGE