Isospin mixing of isospin-projected Slater determinants: formalism and preliminary applications

Details Isospin mixing of isospin-projected Slater determinants: formalism and preliminary applications Isospin mixing of isospin-projected Slater determinants: formalism and preliminary applications

2008-11-07

arxiv.org/abs/0811.1135v2

Int.J.Mod.Phys.E18:958-964,2009

Physics

Nuclear Physics

Nuclear Theory

contributed talk presented by M. Rafalski at the XV Nuclear Physics Workshop, Sept. 24-28, 2008, Kazimierz Dolny, Poland; Nota

Scientific paper

10.1142/S0218301309013105

We report on the development of a new theoretical tool that allows for isospin projection of Slater determinants and we present its first applications. In particular, we determine the isospin mixing in ground states of N=Z nuclei and discuss its dependence on the size of the harmonic-oscillator basis used in the calculations. We also discuss the unphysical contribution to the isospin mixing caused by the spurious isospin-symmetry breaking inherent to the mean-field approach. We show that these contributions may be as large as 30% of the value of the isospin-mixing parameter.

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