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arXiv · 1403.0160

Precise comparison of the Gaussian expansion method and the Gamow shell model

Hiroshi Masui·Kiyoshi Katō·Nicola Michel·Marek Płoszajczak
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Abstract

We perform a detailed comparison of results of the Gamow Shell Model (GSM) and the Gaussian Expansion Method (GEM) supplemented by the complex scaling (CS) method for the same translationally-invariant cluster-orbital shell model (COSM) Hamiltonian. As a benchmark test, we calculate the ground state $0^{+}$ and the first excited state $2^{+}$ of mirror nuclei $^{6}$He and $^{6}$Be in the model space consisting of two valence nucleons in $p$-shell outside of a $^{4}$He core. We find a good overall agreement of results obtained in these two different approaches, also for many-body resonances.

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Hiroshi Masui, Kiyoshi Katō, Nicola Michel, Marek Płoszajczak. 2014-04-07. Precise comparison of the Gaussian expansion method and the Gamow shell model. https://doi.org/10.1103/physrevc.89.044317

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