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

Abstract

It has been suggested recently [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 that 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 article, 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.

Authors:
 [1];  [2]
  1. Department of Physics, School of Electronics and Physical Sciences, University of Surrey, Guildford, Surrey GU2 7XH (United Kingdom)
  2. Physique Nucleaire Theorique et Physique Mathematique, CP229 Universite Libre de Bruxelles, B-1050 Brussels (Belgium)
Publication Date:
OSTI Identifier:
20771100
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevC.72.064324; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2813
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CLUSTER MODEL; COMPARATIVE EVALUATIONS; LIGHT NUCLEI; NEUTRON SEPARATION ENERGY; NEUTRONS; NUCLEON-NUCLEON INTERACTIONS; NUCLEOSYNTHESIS; PROTONS; RESONANCE; SINGLE-PARTICLE MODEL; STRONG INTERACTIONS; SYMMETRY

Citation Formats

Timofeyuk, N K, and Descouvemont, P. Relation between widths of proton resonances and neutron asymptotic normalization coefficients in mirror states of light nuclei in a microscopic cluster model. United States: N. p., 2005. Web. doi:10.1103/PhysRevC.72.064324.
Timofeyuk, N K, & Descouvemont, P. Relation between widths of proton resonances and neutron asymptotic normalization coefficients in mirror states of light nuclei in a microscopic cluster model. United States. https://doi.org/10.1103/PhysRevC.72.064324
Timofeyuk, N K, and Descouvemont, P. Thu . "Relation between widths of proton resonances and neutron asymptotic normalization coefficients in mirror states of light nuclei in a microscopic cluster model". United States. https://doi.org/10.1103/PhysRevC.72.064324.
@article{osti_20771100,
title = {Relation between widths of proton resonances and neutron asymptotic normalization coefficients in mirror states of light nuclei in a microscopic cluster model},
author = {Timofeyuk, N K and Descouvemont, P},
abstractNote = {It has been suggested recently [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 that 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 article, 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.},
doi = {10.1103/PhysRevC.72.064324},
url = {https://www.osti.gov/biblio/20771100}, journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 6,
volume = 72,
place = {United States},
year = {2005},
month = {12}
}