# 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.
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Journal articles

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

### Citation

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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