Extension of Exponential Convergence Method for Multi-Major Shell Model Calculations

Details Extension of Exponential Convergence Method for Multi-Major Shell Model Calculations Extension of Exponential Convergence Method for Multi-Major Shell Model Calculations

Apr 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002aps..apro13003h&link_type=abstract

American Physical Society, April Meeting, Jointly Sponsored with the High Energy Astrophysics Division (HEAD) of the American As

Astronomy and Astrophysics

Astrophysics

Scientific paper

Recently we proposed a new method (Phy. Rev. Lett. 82, 2064 (1999)) to find the energies of the low-lying shell model states using a newly discovered exponential dependence of the energies as a function of the dimension of a certain truncation scheme. We also developed an algorithm based on this exponential convergence property (Phys. Rev. C 65(2), (2002)), and successfully found the g.s. energies, spins, and isospins of all 21 <= N=Z <= 28 nuclei in the fp (major) shell. We were able to show that the algorithm can be extended to multi-major shell calculations by adding to the nuclear Hamiltonian, the center-of-mass Hamiltonian multiplied by a reasonable constant. We also show that the exponential convergence behavior is also valid for other properties of the wave functions, such as the single particle occupation probabilities. Results for p-sd and sd-pf multi-major shell model calculations will be presented.

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