Quasiparticle continuum and resonances in the Hartree-Fock-Bogoliubov theory

Journal Article · Mon Aug 15 04:00:00 EDT 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.84.024311· OSTI ID:21596648

Pei, J C ^[1]; Kruppa, A T ^[1]; Nazarewicz, W ^[2]

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1. Joint Institute for Heavy Ion Research, Oak Ridge, Tennessee 37831 (United States)
2. Department of Physics and Astronomy, University of Tennessee Knoxville, Tennessee 37996 (United States)

The quasiparticle energy spectrum of the Hartree-Fock-Bogoliubov (HFB) equations contains discrete bound states, resonances, and nonresonant continuum states. We study the structure of the unbound quasiparticle spectrum of weakly bound nuclei within several methods that do not rely on imposing scattering or outgoing boundary conditions. Various approximations are examined to estimate resonance widths. It is shown that the stabilization method works well for all HFB resonances except for very narrow ones. The Thomas-Fermi approximation to the nonresonant continuum has been shown to be very effective, especially for coordinate-space HFB calculations in large boxes that involve huge amounts of discretized quasiparticle continuum states.

• OSTI ID: 21596648
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 84; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
ATOMIC MODELS
BOUND STATE
BOUNDARY CONDITIONS
CALCULATION METHODS
COMPUTERIZED SIMULATION
ENERGY SPECTRA
HARTREE-FOCK-BOGOLYUBOV THEORY
MATHEMATICAL MODELS
NUCLEI
RESONANCE
SCATTERING
SIMULATION
SPECTRA
STABILIZATION
THOMAS-FERMI MODEL