Ab initiono-core Gamow shell model calculations with realistic interactions

2013/01/31 by G. Papadimitriou, J. Rotureau, N. Michel +2 · 2 citations
Physics and Astronomy · #Ab initio #Advanced Chemical Physics Studies #Atomic physics #Bound state #Density matrix renormalization group #Nuclear physics research studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #Scattering #nucl-th

paper · pdf · doi:10.1103/physrevc.88.044318

17 pages, 14 figures. Revised version. Discussion on microscopic overlap functions, SFs and ANCs is added. Added references. Accepted for publication at PRC

arxiv created 2013/09/26 · openalex publication_date 2013/10/15 · arxiv updated 2015/06/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

Abstract

No-core Gamow shell model (NCGSM) is applied to study selected well-bound and unbound states of helium isotopes. This model is formulated on the complex energy plane and, by using a complete Berggren ensemble, treats bound, resonant, and scattering states on equal footing. We use the density matrix renormalization group method to solve the many-body Schr"odinger equation. To test the validity of our approach, we benchmarked the NCGSM results against Faddeev and Faddeev-Yakubovsky exact calculations for ³H and ⁴He nuclei. We also performed ab initio NCGSM calculations for the unstable nucleus ⁵He and determined the ground-state energy and decay width, starting from a realistic N³LO chiral interaction.

Citations

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Cited by

• Neutron-rich calcium isotopes within realistic Gamow shell model calculations with continuum coupling
• Description of the proton and neutron radiative capture reactions in the Gamow shell model