Comparison of techniques for computing shell-model effective operators

Details Comparison of techniques for computing shell-model effective operators Comparison of techniques for computing shell-model effective operators

1998-04-08

arxiv.org/abs/nucl-th/9804016v1

Phys.Rev.C57:3108-3118,1998

Physics

Nuclear Physics

Nuclear Theory

18 pages. REVTEX. 4 PostScript figures

Scientific paper

10.1103/PhysRevC.57.3108

Different techniques for calculating effective operators within the framework of the shell model using the same effective interaction and the same excitation spaces are presented. Starting with the large-basis no-core approach, we compare the time-honored perturbation-expansion approach and a model-space truncation approach. Results for the electric quadrupole and magnetic dipole operators are presented for $^6$Li. The convergence trends and dependence of the effective operators on differing excitation spaces and Pauli Q-operators is studied. In addition, the dependence of the electric-quadrupole effective charge on the harmonic-oscillator frequency and the mass number, for A=5,6, is investigated in the model-space truncation approach.

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