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Title: Asymptotic normalization of mirror states and the effect of couplings

Abstract

Assuming that the ratio between asymptotic normalization coefficients of mirror states is model independent, charge symmetry can be used to indirectly extract astrophysically relevant proton capture reactions on proton-rich nuclei based on information on stable isotopes. The assumption has been tested for light nuclei within the microscopic cluster model. In this work we explore the Hamiltonian independence of the ratio between asymptotic normalization coefficients of mirror states when deformation and core excitation is introduced in the system. For this purpose we consider a phenomenological rotor+N model where the valence nucleon is subject to a deformed mean field and the core is allowed to excite. We apply the model to {sup 8}Li/{sup 8}B, {sup 13}C/{sup 13}N, {sup 17}O/{sup 17}F, {sup 23}Ne/{sup 23}Al, and {sup 27}Mg/{sup 27}P. Our results show that, for most studied cases, the ratio between asymptotic normalization coefficients of mirror states is independent of the strength and multipolarity of the couplings induced. The exception is for cases in which there is an s-wave coupled to the ground state of the core, the proton system is loosely bound, and the states have large admixture with other configurations. We discuss the implications of our results for novae.

Authors:
;  [1];  [2];  [1];  [3]
  1. National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 (United States)
  2. (United States)
  3. (Germany)
Publication Date:
OSTI Identifier:
21596792
Resource Type:
Journal Article
Journal Name:
Physical Review. C, Nuclear Physics
Additional Journal Information:
Journal Volume: 84; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevC.84.035805; (c) 2011 American Institute of Physics; 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; ALUMINIUM 23; ASYMPTOTIC SOLUTIONS; BORON 8; CARBON 13; CLUSTER MODEL; FLUORINE 17; GROUND STATES; HAMILTONIANS; LITHIUM 8; MAGNESIUM 27; MEAN-FIELD THEORY; MIRRORS; MULTIPOLARITY; NEON 23; NITROGEN 13; NOVAE; OXYGEN 17; PHOSPHORUS 27; PROTONS; S WAVES; ALKALINE EARTH ISOTOPES; ALUMINIUM ISOTOPES; BARYONS; BETA DECAY RADIOISOTOPES; BETA-MINUS DECAY RADIOISOTOPES; BETA-PLUS DECAY RADIOISOTOPES; BINARY STARS; BORON ISOTOPES; CARBON ISOTOPES; ELECTRON CAPTURE RADIOISOTOPES; ELEMENTARY PARTICLES; ENERGY LEVELS; ERUPTIVE VARIABLE STARS; EVEN-ODD NUCLEI; FERMIONS; FLUORINE ISOTOPES; HADRONS; ISOTOPES; LIGHT NUCLEI; LITHIUM ISOTOPES; MAGNESIUM ISOTOPES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; MILLISECONDS LIVING RADIOISOTOPES; MINUTES LIVING RADIOISOTOPES; NEON ISOTOPES; NITROGEN ISOTOPES; NUCLEAR MODELS; NUCLEI; NUCLEONS; ODD-EVEN NUCLEI; ODD-ODD NUCLEI; OXYGEN ISOTOPES; PARTIAL WAVES; PHOSPHORUS ISOTOPES; QUANTUM OPERATORS; RADIOISOTOPES; SECONDS LIVING RADIOISOTOPES; STABLE ISOTOPES; STARS; VARIABLE STARS

Citation Formats

Titus, L. J., Nunes, F. M., Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-1321, Capel, P., and Helmholtz-Insitut Mainz, Johannes Gutenberg-Universitaet Mainz, D-55128 Mainz. Asymptotic normalization of mirror states and the effect of couplings. United States: N. p., 2011. Web. doi:10.1103/PHYSREVC.84.035805.
Titus, L. J., Nunes, F. M., Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-1321, Capel, P., & Helmholtz-Insitut Mainz, Johannes Gutenberg-Universitaet Mainz, D-55128 Mainz. Asymptotic normalization of mirror states and the effect of couplings. United States. doi:10.1103/PHYSREVC.84.035805.
Titus, L. J., Nunes, F. M., Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-1321, Capel, P., and Helmholtz-Insitut Mainz, Johannes Gutenberg-Universitaet Mainz, D-55128 Mainz. Thu . "Asymptotic normalization of mirror states and the effect of couplings". United States. doi:10.1103/PHYSREVC.84.035805.
@article{osti_21596792,
title = {Asymptotic normalization of mirror states and the effect of couplings},
author = {Titus, L. J. and Nunes, F. M. and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824-1321 and Capel, P. and Helmholtz-Insitut Mainz, Johannes Gutenberg-Universitaet Mainz, D-55128 Mainz},
abstractNote = {Assuming that the ratio between asymptotic normalization coefficients of mirror states is model independent, charge symmetry can be used to indirectly extract astrophysically relevant proton capture reactions on proton-rich nuclei based on information on stable isotopes. The assumption has been tested for light nuclei within the microscopic cluster model. In this work we explore the Hamiltonian independence of the ratio between asymptotic normalization coefficients of mirror states when deformation and core excitation is introduced in the system. For this purpose we consider a phenomenological rotor+N model where the valence nucleon is subject to a deformed mean field and the core is allowed to excite. We apply the model to {sup 8}Li/{sup 8}B, {sup 13}C/{sup 13}N, {sup 17}O/{sup 17}F, {sup 23}Ne/{sup 23}Al, and {sup 27}Mg/{sup 27}P. Our results show that, for most studied cases, the ratio between asymptotic normalization coefficients of mirror states is independent of the strength and multipolarity of the couplings induced. The exception is for cases in which there is an s-wave coupled to the ground state of the core, the proton system is loosely bound, and the states have large admixture with other configurations. We discuss the implications of our results for novae.},
doi = {10.1103/PHYSREVC.84.035805},
journal = {Physical Review. C, Nuclear Physics},
issn = {0556-2813},
number = 3,
volume = 84,
place = {United States},
year = {2011},
month = {9}
}