Isospin symmetry in mirror {alpha} decays

Timofeyuk, N K; Johnson, R C; Descouvemont, P

doi:10.1103/PHYSREVC.75.034302

Title: Isospin symmetry in mirror {alpha} decays

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Abstract

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 knownmore » information about mirror systems.« less

Authors:

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

Department of Physics, School of Electronics and Physical Sciences, University of Surrey, Guildford, Surrey GU2 7XH (United Kingdom)
Physique Nucleaire Theorique et Physique Mathematique, CP229 Universite Libre de Bruxelles, B-1050 Brussels (Belgium)

Publication Date:: Thu Mar 15 00:00:00 EDT 2007

OSTI Identifier:: 20995115

Resource Type:: Journal Article

Journal Name:: Physical Review. C, Nuclear Physics

Additional Journal Information:: Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.75.034302; (c) 2007 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; 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

Citation Formats


                    Timofeyuk, N K, Johnson, R C, and Descouvemont, P. Isospin symmetry in mirror {alpha} decays.  United States: N. p., 2007. 
        Web.  doi:10.1103/PHYSREVC.75.034302.

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                    Timofeyuk, N K, Johnson, R C, & Descouvemont, P. Isospin symmetry in mirror {alpha} decays.  United States.  https://doi.org/10.1103/PHYSREVC.75.034302

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                    Timofeyuk, N K, Johnson, R C, and Descouvemont, P. 2007.  
        "Isospin symmetry in mirror {alpha} decays".  United States.  https://doi.org/10.1103/PHYSREVC.75.034302.

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@article{osti_20995115,

  title        = {Isospin symmetry in mirror {alpha} decays},

  author       = {Timofeyuk, N K and Johnson, R C and Descouvemont, P},

  abstractNote = {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.},

  doi          = {10.1103/PHYSREVC.75.034302},

  url          = {https://www.osti.gov/biblio/20995115},
  journal      = {Physical Review. C, Nuclear Physics},

  issn         = {0556-2813},

  number       = 3,

  volume       = 75,

  place        = {United States},

  year         = {Thu Mar 15 00:00:00 EDT 2007},

  month        = {Thu Mar 15 00:00:00 EDT 2007}

}

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