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.

arXiv comment8 pages, 7 figures. Submitted to PRC

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Cited by in corpus (11)

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• Two-neutron halo structure of ${}^{31}$F and a novel pairing anti-halo effect
• Resonant states of neutron-rich $\Lambda$ hypernucleus ${}_{\Lambda }^7$He
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• Bound and resonance states of the dipolar anion of hydrogen cyanide: competition between threshold effects and rotation in an open quantum system
• Calculation of expectation values of operators in the Complex Scaling method
• Soft dipole resonance in ${}^8$C and its isospin symmetry with ${}^8$He
• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Two-neutron halo structure and anti-halo effect in 31F