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Elimination the centre-of-mass motion in the nuclear shell-model with isospin

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Abstract

An efficient procedure for large-scale calculations of the two-particle translational invariant coefficients of fractional parentage (CESO’s) for several j-shells with isospin is presented. The approach is based on a simple enumeration scheme for antisymmetric many-particle states and efficient algorithms for calculation of the coefficients of fractional parentage for a single j-shell and several j-shells with isospin. The CESO’s may be obtained by diagonalizing the centre-of-mass Hamiltonian in the basis set of antisymmetric A-particle oscillator functions with singled out dependence on intrinsic coordinates of two last particles and choosing the subspace of its eigenvectors corresponding to the minimal eigenvalue equal to 3/2. An arbitrary number of oscillator quanta can be involved. The characteristics of the introduced CESO’s basis are investigated.

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Authors and Affiliations

  1. Department of Applied Informatics, Vytautas Magnus University, Kaunas, Lithuania

    A. Deveikis & A. Fedurtsya

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  1. A. Deveikis
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  2. A. Fedurtsya
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Correspondence to A. Deveikis.

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Deveikis, A., Fedurtsya, A. Elimination the centre-of-mass motion in the nuclear shell-model with isospin. Phys. Part. Nuclei Lett. 8, 484–486 (2011). https://doi.org/10.1134/S1547477111050049

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  • DOI: https://doi.org/10.1134/S1547477111050049

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