Theoretical Study of the {sup 3}He({mu}, {nu}{sub {mu}}){sup 3}H Capture

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The {sup 3}He({mu}, {nu}{sub {mu}}){sup 3}H weak capture is studied using correlated-hyperspherical-harmonics wave functions, obtained from realistic Hamiltonians consisting of the Argonne v{sub 14} or Argonne v{sub 18} two-nucleon, and Tucson-Melbourne or Urbana-IX three-nucleon interactions. The nuclear weak charge and current operators have vector and axial-vector components that include one- and two-body contributions. The strength of the leading two-body operator in the axial-vector current is adjusted to reproduce the Gamow-Teller matrix element in tritium {beta}-decay. The calculated total capture rate is in excellent agreement with the most recent experimental determination 1496 {+-} 4 sec{sup -1}, when the PCAC value is ... continued below

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187 Kilobytes pages

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Marcucci, L.E.; Schiavilla, R.; Rosati, S.; Kievsky, A. & Viviani, M. December 1, 2001.

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The {sup 3}He({mu}, {nu}{sub {mu}}){sup 3}H weak capture is studied using correlated-hyperspherical-harmonics wave functions, obtained from realistic Hamiltonians consisting of the Argonne v{sub 14} or Argonne v{sub 18} two-nucleon, and Tucson-Melbourne or Urbana-IX three-nucleon interactions. The nuclear weak charge and current operators have vector and axial-vector components that include one- and two-body contributions. The strength of the leading two-body operator in the axial-vector current is adjusted to reproduce the Gamow-Teller matrix element in tritium {beta}-decay. The calculated total capture rate is in excellent agreement with the most recent experimental determination 1496 {+-} 4 sec{sup -1}, when the PCAC value is adopted for the induced pseudo-scalar coupling constant g{sub PS}. The predictions for the capture rate and angular correlation parameters A{sub v}, A{sub t}, and A{sub {Delta}} are found to be only very weakly dependent on the model input Hamiltonian. The variation of these observables with g{sub PS} and the theoretical uncertainties deriving from the model-dependent procedure used to constrain the axial current are investigated.

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187 Kilobytes pages

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  • Report No.: JLAB-THY-01-39
  • Report No.: DOE/ER/40150-1960
  • Report No.: nucl-th/0112008
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 789463
  • Archival Resource Key: ark:/67531/metadc715178

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

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  • December 1, 2001

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  • Sept. 29, 2015, 5:31 a.m.

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  • Feb. 5, 2016, 8:38 p.m.

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Marcucci, L.E.; Schiavilla, R.; Rosati, S.; Kievsky, A. & Viviani, M. Theoretical Study of the {sup 3}He({mu}, {nu}{sub {mu}}){sup 3}H Capture, article, December 1, 2001; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc715178/: accessed April 26, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.