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Relativistic shell model calculations

Conference · · AIP Conf. Proc.; (United States)
OSTI ID:6011049

Shell model calculations are discussed in the context of a relativistic model of nuclear structure based on renormalizable quantum field theories of mesons and baryons (quantum hadrodynamics). The relativistic Hartree approximation to the full field theory, with parameters determined from bulk properties of nuclear matter, predicts a shell structure in finite nuclei. Particle-hole excitations in finite nuclei are described in an RPA calculation based on this QHD ground state. The particle-hole interaction is prescribed by the Hartree ground state, with no additional parameters. Meson retardation is neglected in deriving the RPA equations, but it is found to have negligible effects on low-lying states. The full Dirac matrix structure is maintained throughout the calculation; no nonrelativistic reductions are made. Despite sensitive cancellations in the ground state calculation, reasonable excitation spectra are obtained for light nuclei. The effects of including charged mesons, problems with heavy nuclei, and prospects for improved and extended calculations are discussed.

Research Organization:
Physics Department and Nuclear Theory Center, Indiana University, Bloomington, IN 47405
OSTI ID:
6011049
Report Number(s):
CONF-8510137-
Journal Information:
AIP Conf. Proc.; (United States), Journal Name: AIP Conf. Proc.; (United States) Vol. 142:1; ISSN APCPC
Country of Publication:
United States
Language:
English