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arXiv · 1510.06070

Jacobi no-core shell model for p-shell nuclei

S. Liebig·U. -G. Meißner·A. Nogga
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Abstract

We introduce an algorithm to obtain coefficients of fractional parentage for light $p$-shell nuclei. The coefficients enable to use Jacobi coordinates in no-core shell model calculations separating off the center-of-mass motion. Fully antisymmetrized basis states are given together with recoupling coefficients that allow one to apply two- and three-nucleon operators. As an example, we study the dependence on the harmonic oscillator frequency of $^3$H, $^4$He, $^6$He, $^6$Li and $^7$Li and extract their binding and excitation energies. The coefficients will be made openly accessible as HDF5 data files.

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S. Liebig, U. -G. Meißner, A. Nogga. 2015-10-20. Jacobi no-core shell model for p-shell nuclei. https://doi.org/10.1140/epja%2Fi2016-16103-5

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