7Be(p,(gamma))8B S-factor from Ab Initio No-Core Shell Model Wave Functions

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Nuclear structure of {sup 7}Be, {sup 8}B and {sup 7,8}Li is studied within the ab initio no-core shell model (NCSM). Starting from high-precision nucleon-nucleon (NN) interactions, wave functions of {sup 7}Be and {sup 8}B bound states are obtained in basis spaces up to 10 h bar{Omega} and used to calculate channel cluster form factors (overlap integrals) of the {sup 8}B ground state with {sup 7}Be+p. Due to the use of the harmonic oscillator (HO) basis, the overlap integrals have incorrect asymptotic properties. We fix this problem in two alternative ways. First, by a Woods-Saxon (WS) potential solution fit to the ... continued below

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Navratil, P; Bertulani, C A & Caurier, E December 2, 2005.

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Nuclear structure of {sup 7}Be, {sup 8}B and {sup 7,8}Li is studied within the ab initio no-core shell model (NCSM). Starting from high-precision nucleon-nucleon (NN) interactions, wave functions of {sup 7}Be and {sup 8}B bound states are obtained in basis spaces up to 10 h bar{Omega} and used to calculate channel cluster form factors (overlap integrals) of the {sup 8}B ground state with {sup 7}Be+p. Due to the use of the harmonic oscillator (HO) basis, the overlap integrals have incorrect asymptotic properties. We fix this problem in two alternative ways. First, by a Woods-Saxon (WS) potential solution fit to the interior of the NCSM overlap integrals. Second, by a direct matching with the Whittaker function. The corrected overlap integrals are then used for the {sup 7}Be(p,{gamma}){sup 8}B S-factor calculation. We study the convergence of the S-factor with respect to the NCSM HO frequency and the model space size. Our S-factor results are in agreement with recent direct measurement data. We also test the spectroscopic factors and the corrected overlap integrals from the NCSM in describing the momentum distributions in knockout reactions with {sup 8}B projectiles. A good agreement with the available experimental data is also found, attesting the overall consistency of the calculations.

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PDF-file: 20 pages; size: 0.5 Mbytes

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  • Journal Name: Physical Review C, vol. 73, N/A, June 16, 2006, pp. 065801

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  • Report No.: UCRL-JRNL-217766
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 894781
  • Archival Resource Key: ark:/67531/metadc883395

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • December 2, 2005

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  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 22, 2016, 2:08 p.m.

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Navratil, P; Bertulani, C A & Caurier, E. 7Be(p,(gamma))8B S-factor from Ab Initio No-Core Shell Model Wave Functions, article, December 2, 2005; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc883395/: accessed December 11, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.