Ab-initio No-Core Gamow Shell Model calculations with realistic interactions

Abstract

No-Core Gamow Shell Model (NCGSM) is applied for the first time 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 Schrödinger equation. To test the validity of our approach, we benchmarked the NCGSM results against Faddeev and Faddeev-Yakubovsky exact calculations for ${}^3$H and ${}^4$He nuclei. We also performed {\textit ab initio} NCGSM calculations for the unstable nucleus ${}^5$He and determined the ground state energy and decay width, starting from a realistic N${}^3$LO chiral interaction.

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

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• Nucleon-$\alpha$ Scattering and Resonances in ${}^5$He and ${}^5$Li with JISP16 and Daejeon16 $NN$ interactions
• Resonances of $A=4$ $T=1$ isospin triplet states within the \textit{ab initio} no-core Gamow shell model
• Multi-Body Entanglement and Information Rearrangement in Nuclear Many-Body Systems
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• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
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• Nuclear three-body problem in the complex energy plane: Complex-Scaling-Slater method
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• Recent progress in configuration-interaction shell model
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• Description of alpha-clustering of 8Be nucleus states in high-precision theoretical approach
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• Investigation of spectroscopic factors of deeply-bound nucleons in drip-line nuclei with the Gamow shell model
• Quantum Complexity Fluctuations from Nuclear and Hypernuclear Forces
• Coulomb Excitation of Deuteron in Peripheral Collisions with a Heavy Ion
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• Nucleon-nucleon scattering with the Complex Scaling Method and realistic interactions
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• Trineutron resonances in the SS-HORSE-NCSM approach
• Calculating reactions with use of no-core shell-model states
• Pairing in the BCS and LN approximations using continuum single particle level density
• Calculation of expectation values of operators in the Complex Scaling method
• Calculations for nuclear matter and finite nuclei within and beyond energy--density--functional theories through interactions guided by effective field theory
• Gamow shell model predictions for six-proton unbound nucleus ${}^{20}$Si
• Gamow shell model calculations for the Thomas-Ehrman shift in new isotopes 21Al
• Complex-energy eigenvector continuation for nuclear many-body broad resonances
• Applications of the Modified Hulthén-Kohn Method for Bound and Scattering States
• Coupled-cluster computations of optical potential for medium-mass nuclei
• Complex-scaled no-core shell model calculations of bound and unbound nuclear states in light nuclei
• Towards the continuum coupling in nuclear lattice effective field theory I: A three-particle model
• Description of the proton-decaying 0${}_2^{+}$ resonance of the $\alpha$ particle