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

Journal Article · Thu Dec 15 04:00:00 EST 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.72.064324· OSTI ID:20771100

Timofeyuk, N K ^[1]; Descouvemont, P ^[2]

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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)

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.

• OSTI ID: 20771100
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 72; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

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