Deducing spectroscopic factors from wave-function asymptotics

Journal Article · Mon Nov 15 00:00:00 EST 2010 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.82.054612· OSTI ID:21499189

Capel, P ^[1]; Danielewicz, P; Nunes, F M ^[2]

---

1. Physique Quantique, C.P. 165/82, and Physique Nucleaire Theorique et Physique Mathematique, C.P. 229, Universite Libre de Bruxelles (ULB), B-1050 Brussels (Belgium)
2. National Superconducting Cyclotron Laboratory and Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824 (United States)

In a coupled-channel model, we explore the effects of coupling between configurations on the radial behavior of the wave function and, in particular, on the spectroscopic factor (SF) and the asymptotic normalization coefficient (ANC). We evaluate the extraction of a SF from the ratio of the ANC of the coupled-channel model to that of a single-particle approximation of the wave function. We perform this study within a core+n collective model, which includes two states of the core that connect by a rotational coupling. To get additional insights, we also use a simplified model that takes a {delta} function for the coupling potential. Calculations are performed for {sup 11}Be. Fair agreement is obtained between the SF inferred from the single-particle approximation and the one obtained within the coupled-channel models. Significant discrepancies are observed only for large coupling strength and/or large admixture, that is, a small SF. This suggests that reliable SFs can be deduced from the wave-function asymptotics when the structure is dominated by one configuration, that is, for a large SF.

• OSTI ID: 21499189
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 82, Issue 5; Other Information: DOI: 10.1103/PhysRevC.82.054612; (c) 2010 The American Physical Society; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
BERYLLIUM 11
COLLECTIVE MODEL
COUPLED CHANNEL THEORY
COUPLING
DELTA FUNCTION
EXTRACTION
SPECTROSCOPIC FACTORS
WAVE FUNCTIONS
ALKALINE EARTH ISOTOPES
BERYLLIUM ISOTOPES
BETA DECAY RADIOISOTOPES
BETA-MINUS DECAY RADIOISOTOPES
CALCULATION METHODS
DIMENSIONLESS NUMBERS
EVEN-ODD NUCLEI
FUNCTIONS
ISOTOPES
LIGHT NUCLEI
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
NUCLEAR MODELS
NUCLEI
RADIOISOTOPES
SECONDS LIVING RADIOISOTOPES
SEPARATION PROCESSES