No-core shell model for 48-Ca, 48-Sc and 48-Ti
Jul, 2006
19 pages
Published in:
- J.Phys.G 36 (2009) 085103
e-Print:
- nucl-th/0607041 [nucl-th]
Report number:
- UCRL-JRNL-207489
Citations per year
Abstract:
We report the first no-core shell model results for , and with derived and modified two-body Hamiltonians. We use an oscillator basis with a limited range around and a limited model space up to . No single-particle energies are used. We 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. We then introduce additive isospin-dependent central terms plus a tensor force to our Hamiltonian and achieve accurate binding energies and reasonable spectra for all three nuclei. The resulting no-core shell model opens a path for applications to the double-beta () decay process.References(60)
Figures(0)