Isospin symmetry in mirror {alpha} decays

Journal Article · Thu Mar 15 04:00:00 EDT 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.75.034302· OSTI ID:20995115

Timofeyuk, N K; Johnson, R C ^[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)

We show that a consequence of isospin symmetry, recently discovered in mirror conjugated one-nucleon decays, can be extended to mirror-conjugated {alpha}-particle decays, both virtual and real. For virtual {alpha} decays of bound mirror pairs this symmetry manifests itself as a relation between the asymptotic normalization coefficients (ANCs) of {alpha}-particle overlap integrals. This relation is given by a simple analytical formula that involves {alpha}-particle separation energies and charges of residual nuclei. For bound-unbound mirror pairs, the ANC of a bound nucleus is related to the {alpha} width of the mirror unbound level. For unbound mirror pairs we get a new analytical formula that relates the widths of mirror resonances. We test the validity of these analytical formulas against the predictions of a two-body potential and of a many-body microscopic cluster model for several mirror states in {sup 7}Li-{sup 7}Be, {sup 11}B-{sup 11}C, and {sup 19}F-{sup 19}Ne isotopes. We show that these analytical formulas are valid in many cases but that some deviations can be expected for isotopes with strongly deformed and easily excited cores. In general, the results from microscopic model are not very sensitive to model assumptions and can be used to predict unknown astrophysically relevant cross sections using known information about mirror systems.

• OSTI ID: 20995115
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 3 Vol. 75; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA DECAY
ALPHA PARTICLES
ATOMIC NUMBER
BERYLLIUM 7
BINDING ENERGY
BORON 11
CARBON 11
CLUSTER MODEL
DEFORMED NUCLEI
FLUORINE 19
ISOSPIN
LITHIUM 7
MASS NUMBER
MIRRORS
NEON 19
NUCLEONS
SYMMETRY
TWO-BODY PROBLEM
WIDTH