Sensitivities and correlations of nuclear structure observables emerging from chiral interactions

Angelo Calci and Robert Roth
Phys. Rev. C 94, 014322 – Published 29 July 2016

Abstract

Starting from a set of different two- and three-nucleon interactions from chiral effective field theory, we use the importance-truncated no-core shell model for ab initio calculations of excitation energies as well as electric quadrupole (E2) and magnetic dipole (M1) moments and transition strengths for selected p-shell nuclei. We explore the sensitivity of the excitation energies to the chiral interactions as a first step towards and systematic uncertainty propagation from chiral inputs to nuclear structure observables. The uncertainty band spanned by the different chiral interactions is typically in agreement with experimental excitation energies, but we also identify observables with notable discrepancies beyond the theoretical uncertainty that reveal insufficiencies in the chiral interactions. For electromagnetic observables we identify correlations among pairs of E2 or M1 observables based on the ab initio calculations for the different interactions. We find extremely robust correlations for E2 observables and illustrate how these correlations can be used to predict one observable based on an experimental datum for the second observable. In this way we circumvent convergence issues and arrive at far more accurate results than any direct ab initio calculation. A prime example for this approach is the quadrupole moment of the first 2+ state in C12, which is predicted with an drastically improved accuracy.

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  • Received 26 January 2016

DOI:https://doi.org/10.1103/PhysRevC.94.014322

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

Angelo Calci*

  • TRIUMF, 4004 Wesbrook Mall, Vancouver, British Columbia, V6T 2A3, Canada

Robert Roth

  • Institut für Kernphysik, Technische Universität Darmstadt, 64289 Darmstadt, Germany

  • *calci@triumf.ca
  • robert.roth@physik.tu-darmstadt.de

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Issue

Vol. 94, Iss. 1 — July 2016

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