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Relation between widths of proton resonances and neutron asymptotic normalization coefficients in mirror states of light nuclei in a microscopic cluster model

Timofeyuk, NK and Descouvemont, P (2005) Relation between widths of proton resonances and neutron asymptotic normalization coefficients in mirror states of light nuclei in a microscopic cluster model Phys.Rev. C, 72.

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Abstract

It has been suggested recently ({\it Phys. Rev. Lett.} 91, 232501 (2003)) that the widths of narrow proton resonances are related to neutron Asymptotic Normalization Coefficients (ANCs) of their bound mirror analogs because of charge symmetry of nucleon-nucleon interactions. This relation is approximated by a simple analytical formula which involves proton resonance energies, neutron separation energies, charges of residual nuclei and the range of their strong interaction with the last nucleon. In the present paper, we perform microscopic-cluster model calculations for the ratio of proton widths to neutron ANCs squared in mirror states for several light nuclei. We compare them to predictions of the analytical formula and to estimates made within a single-particle potential model. A knowledge of this ratio can be used to predict unknown proton widths for very narrow low-lying resonances in the neutron-deficient region of the $sd$- and $pf$-shells, which is important for understanding the nucleosynthesis in the $rp$-process.

Item Type: Article
Subjects : Physics
Divisions : Faculty of Engineering and Physical Sciences > Physics
Authors :
AuthorsEmailORCID
Timofeyuk, NKUNSPECIFIEDUNSPECIFIED
Descouvemont, PUNSPECIFIEDUNSPECIFIED
Date : 26 September 2005
Identification Number : 10.1103/PhysRevC.72.064324
Copyright Disclaimer : Copyright 2005 American Physical Society. This is an arXiv version of the paper.
Uncontrolled Keywords : nucl-th, nucl-th
Related URLs :
Additional Information : Copyright 2005 American Physical Society. This is an arXiv version of the paper.
Depositing User : Symplectic Elements
Date Deposited : 23 Mar 2016 10:35
Last Modified : 24 Mar 2016 10:19
URI: http://epubs.surrey.ac.uk/id/eprint/810207

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