Asymptotic normalization of mirror states and the effect of couplings

L. J. Titus, P. Capel, and F. M. Nunes
Phys. Rev. C 84, 035805 – Published 14 September 2011

Abstract

Assuming that the ratio between asymptotic normalization coefficients of mirror states is model independent, charge symmetry can be used to indirectly extract astrophysically relevant proton capture reactions on proton-rich nuclei based on information on stable isotopes. The assumption has been tested for light nuclei within the microscopic cluster model. In this work we explore the Hamiltonian independence of the ratio between asymptotic normalization coefficients of mirror states when deformation and core excitation is introduced in the system. For this purpose we consider a phenomenological rotor+N model where the valence nucleon is subject to a deformed mean field and the core is allowed to excite. We apply the model to 8Li/8B, 13C/13N, 17O/17F, 23Ne/23Al, and 27Mg/27P. Our results show that, for most studied cases, the ratio between asymptotic normalization coefficients of mirror states is independent of the strength and multipolarity of the couplings induced. The exception is for cases in which there is an s-wave coupled to the ground state of the core, the proton system is loosely bound, and the states have large admixture with other configurations. We discuss the implications of our results for novae.

  • Figure
  • Figure
  • Received 20 June 2011

DOI:https://doi.org/10.1103/PhysRevC.84.035805

©2011 American Physical Society

Authors & Affiliations

L. J. Titus1,2, P. Capel1,3, and F. M. Nunes1,2

  • 1National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
  • 2Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-1321, USA
  • 3Helmholtz-Insitut Mainz, Johannes Gutenberg-Universität Mainz, D-55128 Mainz, Germany

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 84, Iss. 3 — September 2011

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×