Cluster form factor calculation in the ab initio no-core shell model

Journal Article · Mon Nov 01 00:00:00 EST 2004 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.70.054324· OSTI ID:20695742

Navratil, Petr ^[1]

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1. Lawrence Livermore National Laboratory, L-414, P.O. Box 808, Livermore, California 94551 (United States)

We derive expressions for cluster overlap integrals or channel cluster form factors for ab initio no-core shell model (NCSM) wave functions. These are used to obtain the spectroscopic factors and can serve as a starting point for the description of low-energy nuclear reactions. We consider the composite system and the target nucleus to be described in the Slater determinant (SD) harmonic oscillator (HO) basis while the projectile eigenstate to be expanded in the Jacobi coordinate HO basis. This is the most practical case. The spurious center of mass components present in the SD bases are removed exactly. The calculated cluster overlap integrals are translationally invariant. As an illustration, we present results of cluster form factor calculations for <{sup 5}He vertical bar{sup 4}He+n>, <{sup 5}He vertical bar{sup 3}H+d>, <{sup 6}Li vertical bar{sup 4}He+d>, <{sup 6}Be vertical bar{sup 3}He+{sup 3}He>, <{sup 7}Li vertical bar{sup 4}He+{sup 3}H>, <{sup 7}Li vertical bar{sup 6}Li+n>, <{sup 8}Be vertical bar{sup 6}Li+d>, <{sup 8}Be vertical bar{sup 7}Li+p>, <{sup 9}Li vertical bar{sup 8}Li+n>, and <{sup 13}C vertical bar{sup 12}C+n>, with all the nuclei described by multi-({Dirac_h}/2{pi}){omega} NCSM wave functions.

• OSTI ID: 20695742
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 70, Issue 5; Other Information: DOI: 10.1103/PhysRevC.70.054324; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BERYLLIUM 6
BERYLLIUM 8
CARBON 12
CARBON 13
CLUSTER MODEL
EIGENFUNCTIONS
EIGENSTATES
EIGENVALUES
FORM FACTORS
HARMONIC OSCILLATORS
HELIUM 3
HELIUM 4
HELIUM 5
LITHIUM 6
LITHIUM 7
LITHIUM 8
LITHIUM 9
NUCLEAR REACTIONS
NUCLEAR STRUCTURE
SHELL MODELS
SLATER METHOD
SPECTROSCOPIC FACTORS
TRITIUM
WAVE FUNCTIONS