Ab initio coupled-cluster theory for open-shell nuclei

Abstract

We develop a new method to describe properties of truly open-shell nuclei. This method is based on single-reference coupled-cluster theory and the equation-of-motion method with extensions to nuclei with $A\pm 2$ nucleons outside a closed shell. We perform proof-of-principle calculations for the ground states of the helium isotopes ${}^{3-6}$He and the first excited $2^{+}$ state in ${}^6$He. The comparison with exact results from matrix diagonalization in small model spaces demonstrates the accuracy of the coupled-cluster methods. Three-particle--one-hole excitations of ${}^4$He play an important role for the accurate description of ${}^6$He. For the open-shell nucleus ${}^6$He, the computational cost of the method is comparable with the coupled-cluster singles-and-doubles approximation while its accuracy is similar to coupled-cluster with singles, doubles and triples excitations.

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• How Robust is the N = 34 Subshell Closure? First Spectroscopy of ${}^{52}$Ar
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• Emergent properties of nuclei from ab initio coupled-cluster calculations
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• Chiral three-nucleon forces and bound excited states in neutron-rich oxygen isotopes
• Living on the edge of stability, the limits of the nuclear landscape
• Coupled-cluster studies of infinite nuclear matter
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
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• Spectroscopy of ${}^{26}$F to probe proton-neutron forces close to the drip line
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• Electromagnetic observables of open-shell nuclei from coupled-cluster theory
• Real-Space Imaginary-Time Propagators for Non-Local Nucleon-Nucleon Potentials
• Effective shell-model interaction for nuclei southeast of ${}^{100}$Sn
• Many-body Propagator Theory with Three-Body Interactions: a Path to Exotic Open Shell Isotopes
• Electric dipole polarizability of ${}^{58}$Ni
• Structure and dynamics of open-shell nuclei from spherical coupled-cluster theory
• ${}^4$He energies and radii by the coupled-cluster method with many-body average potential
• Nonperturbative renormalization of the neutrinoless double-beta operator in p-shell nuclei
• Nuclear Matrix Elements for Double-Beta Decay
• From closed shells to open shells: Coupled-cluster calculations of atomic nuclei