Ab initio calculations of nuclear widths via an integral relation

Abstract

I describe the computation of energy widths of nuclear states using an integral over the interaction region of ab initio variational Monte Carlo wave functions, and I present calculated widths for many states. I begin by presenting relations that connect certain short-range integrals to widths. I then present predicted widths for 5 <= A <= 9 nuclei, and I compare them against measured widths. They match the data more closely and with less ambiguity than estimates based on spectroscopic factors. I consider the consequences of my results for identification of observed states in ^8B, ^9He, and ^9Li. I also examine failures of the method and conclude that they generally involve broad states and variational wave functions that are not strongly peaked in the interaction region. After examining bound-state overlap functions computed from a similar integral relation, I conclude that overlap calculations can diagnose cases in which computed widths should not be trusted.

26 pages, 9 figures, submitted to Phys. Rev. C

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Cited by in corpus (15)

• Quantum Monte Carlo methods for nuclear physics
• Effective field theory description of halo nuclei
• Ab-initio No-Core Gamow Shell Model calculations with realistic interactions
• Shell Model States in the Continuum
• Marrying {\it ab initio} calculations and Halo-EFT: the case of ${}^7\mathrm{Li}+n\to {}^8\mathrm{Li}+\gamma$
• Three-cluster dynamics within an ab initio framework
• Energy Spectrum of Neutron-Rich Helium Isotopes: Complex Made Simple
• Structure of the exotic ${}^9$He nucleus from the no-core shell model with continuum
• Nuclear structure beyond the neutron drip line: the lowest energy states in ${}^9$He via their T=5/2 isobaric analogs in ${}^9$Li
• Recombination rates from potential models close to the unitary limit
• Structure of 9C through proton resonance scattering with Texas Active Target detector
• Spectroscopic factors, overlaps, and isospin symmetry from an $R$-matrix point of view
• Perspectives on few-body cluster structures in exotic nuclei
• Coupled-cluster computations of optical potential for medium-mass nuclei
• Two neutron decay of 16Be