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.

8 pages, 7 figures. Submitted to PRC

References in corpus (5)

• Shell Model in the Complex Energy Plane
• Complex coupled-cluster approach to an ab-initio description of open quantum systems
• Density matrix renormalization group approach for many-body open quantum systems
• Five-body resonances of 8He using the complex scaling method
• Coulomb breakup reactions of ${}^{11}$Li in the coupled-channel ${}^9$Li~+~$n$~+~$n$ three-body model

Cited by in corpus (5)

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• Resonant states of neutron-rich $\Lambda$ hypernucleus ${}_{\Lambda }^7$He
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• Two-neutron halo structure and anti-halo effect in 31F