Ab-initio shell model with a core

Abstract

We construct effective 2- and 3-body Hamiltonians for the p-shell by performing 12\hbarΩab initio no-core shell model (NCSM) calculations for A=6 and 7 nuclei and explicitly projecting the many-body Hamiltonians onto the 0\hbarΩspace. We then separate these effective Hamiltonians into 0-, 1- and 2-body contributions (also 3-body for A=7) and analyze the systematic behavior of these different parts as a function of the mass number A and size of the NCSM basis space. The role of effective 3- and higher-body interactions for A>6 is investigated and discussed.

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Cited by in corpus (52)

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• Ab-initio coupled-cluster effective interactions for the shell model: Application to neutron-rich oxygen and carbon isotopes
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• From bound states to the continuum
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• Emergent properties of nuclei from ab initio coupled-cluster calculations
• Open $sd$-shell nuclei from first principles
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• Extracting the neutron-neutron scattering length -- recent developments
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• Ab-initio calculation of the ${}^{6}Li$ binding energy with the Hybrid Multideterminant scheme
• Nonperturbative renormalization of the neutrinoless double-beta operator in p-shell nuclei
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• Large scale shell model calculation for collectivity in nuclei beyond 78Ni
• Nuclear Matrix Elements for Double-Beta Decay
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