Shell-model coupled-cluster method for open-shell nuclei

Abstract

We present an approach to derive effective shell-model interactions from microscopic nuclear forces. The similarity-transformed coupled-cluster Hamiltonian decouples the single-reference state of a closed-shell nucleus and provides us with a core for the shell model. We use a second similarity transformation to decouple a shell-model space from the excluded space. We show that the three-body terms induced by both similarity transformations are crucial for an accurate computation of ground and excited states. As a proof of principle we use a nucleon-nucleon interaction from chiral effective field theory, employ a ${}^4$He core, and compute low-lying states of ${}^{6-8}$He and ${}^{6-8}$Li in $p$-shell model spaces. Our results agree with benchmarks from full configuration interaction.

arXiv comment12 pages, 16 figures

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• Non-Empirical Interactions for the Nuclear Shell Model: An Update
• Three-Nucleon Forces: Implementation and Applications to Atomic Nuclei and Dense Matter
• What is ab initio in nuclear theory?
• Mass measurements of 99-101In challenge ab initio nuclear theory of the nuclide 100Sn
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• Deformed in-medium similarity renormalization group
• Nuclear charge radii of Na isotopes: A tale of two theories
• Factorized Approximation to the IMSRG(3)
• Uncertainty quantification in nuclear shell model
• Isomeric excitation energy for ${}^{99}$In${}^m$ from mass spectrometry reveals constant trend next to doubly magic ${}^{100}$Sn
• IMSRG with flowing 3 body operators, and approximations thereof
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• Demonstration of the Rodeo Algorithm on a Quantum Computer
• Lattice Effective Field Theory Simulations of Nuclei
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• Proton inelastic scattering reveals deformation in ${}^8$He