Asymptotic normalization of mirror states and the effect of couplings
- National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824 (United States)
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.
- OSTI ID:
- 21596792
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 84, Issue 3; Other Information: DOI: 10.1103/PhysRevC.84.035805; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
- Country of Publication:
- United States
- Language:
- English
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ALUMINIUM 23
ASYMPTOTIC SOLUTIONS
BORON 8
CARBON 13
CLUSTER MODEL
FLUORINE 17
GROUND STATES
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LITHIUM 8
MAGNESIUM 27
MEAN-FIELD THEORY
MIRRORS
MULTIPOLARITY
NEON 23
NITROGEN 13
NOVAE
OXYGEN 17
PHOSPHORUS 27
PROTONS
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ALKALINE EARTH ISOTOPES
ALUMINIUM ISOTOPES
BARYONS
BETA DECAY RADIOISOTOPES
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BINARY STARS
BORON ISOTOPES
CARBON ISOTOPES
ELECTRON CAPTURE RADIOISOTOPES
ELEMENTARY PARTICLES
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ERUPTIVE VARIABLE STARS
EVEN-ODD NUCLEI
FERMIONS
FLUORINE ISOTOPES
HADRONS
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MAGNESIUM ISOTOPES
MATHEMATICAL MODELS
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MILLISECONDS LIVING RADIOISOTOPES
MINUTES LIVING RADIOISOTOPES
NEON ISOTOPES
NITROGEN ISOTOPES
NUCLEAR MODELS
NUCLEI
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ODD-EVEN NUCLEI
ODD-ODD NUCLEI
OXYGEN ISOTOPES
PARTIAL WAVES
PHOSPHORUS ISOTOPES
QUANTUM OPERATORS
RADIOISOTOPES
SECONDS LIVING RADIOISOTOPES
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