Simple approximation for the starting-energy-independent two-body effective interaction with applications to <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mmultiscripts><mrow><mi mathvariant="normal">Li</mi></mrow><mprescripts></mprescripts><mrow></mrow><mrow><mn>6</mn></mrow><mrow></mrow><mrow></mrow></mmultiscripts></mrow></math></span>

D. C. Zheng; B. R. Barrett; J. P. Vary; R. J. McCarthy

doi:10.1103/PhysRevC.49.1999

Simple approximation for the starting-energy-independent two-body effective interaction with applications to ${}^{6}{Li}$

D. C. Zheng, B. R. Barrett, J. P. Vary, and R. J. McCarthy

Phys. Rev. C 49, 1999 – Published 1 April 1994

Abstract

We apply the Lee-Suzuki iteration method to calculate the linked-folded diagram series for a new Nijmegen local NN potential. We obtain an exact starting-energy-independent effective two-body interaction for a multishell, no-core, harmonic-oscillator model space. It is found that the resulting effective-interaction matrix elements can be well approximated by the Brueckner G-matrix elements evaluated at starting energies selected in a simply way. These starting energies are closely related to the energies of the initial two-particle states in the ladder diagrams. The ‘‘exact’’ and approximate effective interactions are used to calculate the energy spectrum of ${}^{6}{Li}$ in order to test the utility of the approximate form.