Effective Interaction Techniques for the Gamow Shell Model

Abstract

We apply a contour deformation technique in momentum space to the newly developed Gamow shell model, and study the drip-line nuclei 5He, 6He and 7He. A major problem in Gamow shell-model studies of nuclear many-body systems is the increasing dimensionality of many-body configurations due to the large number of resonant and complex continuum states necessary to reproduce bound and resonant state energies. We address this problem using two different effective operator approaches generalized to the complex momentum plane. These are the Lee-Suzuki similarity transformation method for complex interactions and the multi-reference perturbation theory method. The combination of these two approaches results in a large truncation of the relevant configurations compared with direct diagonalization. This offers interesting perspectives for studies of weakly bound systems.

18 pages, 17 figs, Revtex4

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• Shell-model calculations for the three-nucleon system
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Cited by in corpus (19)

• Shell Model in the Complex Energy Plane
• Continuum Shell Model
• Gamow shell model and realistic nucleon-nucleon interactions
• Coupled-cluster calculations for valence systems around O-16
• Resonances of 7He in the complex scaling method
• Dineutron structure in ${}^8$He
• Effective Field Theory and the Gamow Shell Model: The 6He Halo Nucleus
• ${}^4\mathrm{He}$+$n$+$n$ continuum within an ab initio framework
• Study of Resonant Structures in a Deformed Mean-Field by the Contour Deformation Method in Momentum Space
• Antibound States and Halo Formation in the Gamow Shell Model
• Pairing in the continuum: the quadrupole response of the Borromean nucleus 6He
• One-neutron removal strength of 7He into 6He using the complex scaling method
• Resonant states of neutron-rich $\Lambda$ hypernucleus ${}_{\Lambda }^7$He
• Electric multipole response of the halo nucleus ${}^6$He
• Effective interactions and operators in no-core shell model
• Investigation of contributions of the $2_2^{+}$ resonance in ${}^6$He via analysis of ${}^6$He($p$, $p^{\prime }$)
• First measurement of the 2.4 and 2.9 MeV ${}^6$He three-cluster resonant states via the ${}^3$H(${}^4$He,p$\alpha$)2n four-body reaction
• Resonances and collisional properties of neutron-rich helium isotopes in the adiabatic hyperspherical representation
• Nonlinear relativistic mean-field theory studies on He isotopes