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Title: Asymptotic normalization coefficients for mirror virtual nucleon decays in a microscopic cluster model

Journal Article · · Physical Review. C, Nuclear Physics
 [1];  [2]
  1. Department of Physics, 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 [N. K. Timofeyuk, R. C. Johnson, and A. M. Mukhamedzhanov, Phys. Rev. Lett. 91, 232501 (2003)] that charge symmetry of nucleon-nucleon interactions relates the asymptotic normalization coefficients (ANCs) of proton and neutron virtual decays of mirror nuclei. This relation is given by a simple analytical formula that involves proton and neutron separation energies, charges of residual nuclei, and the range of their strong interaction with the last nucleon. The relation between mirror ANCs, if understood properly, can be used to predict astrophysically relevant direct proton capture cross sections using neutron ANCs measured with stable beams. In this work, we calculate one-nucleon ANCs for several light mirror pairs, using microscopic two-, three-, and four-cluster models and compare the ratio of mirror ANCs to the predictions of the simple analytic formula. We also investigate mirror symmetry between other characteristics of mirror one-nucleon overlap integrals, namely, spectroscopic factors and single-particle ANCs.

OSTI ID:
20698733
Journal Information:
Physical Review. C, Nuclear Physics, Vol. 71, Issue 6; Other Information: DOI: 10.1103/PhysRevC.71.064305; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
Country of Publication:
United States
Language:
English