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

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.
keyword : Shell model
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http://hal.in2p3.fr/in2p3-00955159
Contributor : Michel Lion <>
Submitted on : Tuesday, March 4, 2014 - 6:34:34 AM
Last modification on : Thursday, February 1, 2018 - 1:26:22 AM

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H. Masui, K. Kato, N. Michel, M. Ploszajczak. Precise comparison of the Gaussian expansion method and the Gamow shell model. Physical Review C, American Physical Society, 2014, 89, pp.044317. ⟨10.1103/PhysRevC.89.044317⟩. ⟨in2p3-00955159⟩

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