No-Core Shell Model for 48-Ca, 48-Sc and 48-Ti

Journal Article · Tue Oct 26 04:00:00 EDT 2004 · Journal of Physics G, vol. 36, N/A, June 26, 2009, pp. 085103

OSTI ID:964110

Popescu, S; Stoica, S; Vary, J P; Navratil, P

The authors report the first no-core shell model results for {sup 48}Ca, {sup 48}Sc and {sup 48}Ti with derived and modified two-body Hamiltonians. We use an oscillator basis with a limited {bar h}{Omega} range around 40/A{sup 1/3} = 11 MeV and a limited model space up to 1 {bar h}{Omega}. No single-particle energies are used. They find that the charge dependence of the bulk binding energy of eight A = 48 nuclei is reasonably described with an effective Hamiltonian derived from the CD-Bonn interaction while there is an overall underbinding by about 0.4 MeV/nucleon. However, resulting spectra exhibit deficiencies that are anticipated due to: (1) basis space limitations and/or the absence of effective many-body interactions; and, (2) the absence of genuine three-nucleon interactions. They introduce phenomenological modifications to obtain fits to total binding and low-lying spectra. The resulting no-core shell model opens a path for applications to experiments such as the double-beta ({beta}{beta}) decay process.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 964110
• Report Number(s): UCRL-JRNL-207489
• Journal Information: Journal of Physics G, vol. 36, N/A, June 26, 2009, pp. 085103, Journal Name: Journal of Physics G, vol. 36, N/A, June 26, 2009, pp. 085103 Vol. 36
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BINDING ENERGY
DECAY
HAMILTONIANS
MODIFICATIONS
NUCLEI
OSCILLATORS
SHELL MODELS
SPECTRA