Effective operators from exact many-body renormalization

Abstract

We construct effective two-body Hamiltonians and E2 operators for the p-shell by performing $16\hslash \Omega$ ab initio no-core shell model (NCSM) calculations for A=5 and A=6 nuclei and explicitly projecting the many-body Hamiltonians and E2 operator onto the $0\hslash \Omega$ space. We then separate the effective E2 operator into one-body and two-body contributions employing the two-body valence cluster approximation. We analyze the convergence of proton and neutron valence one-body contributions with increasing model space size and explore the role of valence two-body contributions. We show that the constructed effective E2 operator can be parametrized in terms of one-body effective charges giving a good estimate of the NCSM result for heavier p-shell nuclei.

9 pages, 8 figures

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Cited by in corpus (17)

• The In-Medium Similarity Renormalization Group: A Novel Ab Initio Method for Nuclei
• A Guided Tour of Ab Initio Nuclear Many-Body Theory
• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Nonperturbative shell-model interactions from the in-medium similarity renormalization group
• Ab initio electromagnetic observables with the in-medium similarity renormalization group
• Open $sd$-shell nuclei from first principles
• Systematics of E2 strength in the sd-shell with the valence-space in-medium similarity renormalization group
• Ab initio effective interactions for sd-shell valence nucleons
• Accessing ground state and excited states energies in many-body system after symmetry restoration using quantum computers
• Perturbative Approach to Effective Shell-Model Hamiltonians and Operators
• Effective field theory in the harmonic oscillator basis
• Effective interactions and operators in no-core shell model
• Core-polarization effects and effective charges in O and Ni isotopes from chiral interactions
• Effective operators in two-nucleon systems
• Nonperturbative renormalization of the neutrinoless double-beta operator in p-shell nuclei
• No-core shell model for A = 47 and A = 49
• Nuclear Matrix Elements for Double-Beta Decay