Chiral effective field theory predictions for muon capture on deuteron and $^3$He

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The muon-capture reactions {sup 2}H({mu}{sup -}, {nu}{sub {mu}})nn and {sup 3}He({mu}{sup -},{nu}{sub {mu}}){sup 3}H are studied with nuclear strong-interaction potentials and charge-changing weak currents, derived in chiral effective field theory. The low-energy constants (LEC's) c{sub D} and c{sub E}, present in the three-nucleon potential and (c{sub D}) axial-vector current, are constrained to reproduce the A=3 binding energies and the triton Gamow-Teller matrix element. The vector weak current is related to the isovector component of the electromagnetic current via the conserved-vector-current constraint, and the two LEC's entering the contact terms in the latter are constrained to reproduce the A=3 magnetic moments. ... continued below

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052502 (4 pages)

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Laura E. Marcucci, A. Kievsky, S. Rosati, R. Schiavilla, M. Viviani January 1, 2012.

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The muon-capture reactions {sup 2}H({mu}{sup -}, {nu}{sub {mu}})nn and {sup 3}He({mu}{sup -},{nu}{sub {mu}}){sup 3}H are studied with nuclear strong-interaction potentials and charge-changing weak currents, derived in chiral effective field theory. The low-energy constants (LEC's) c{sub D} and c{sub E}, present in the three-nucleon potential and (c{sub D}) axial-vector current, are constrained to reproduce the A=3 binding energies and the triton Gamow-Teller matrix element. The vector weak current is related to the isovector component of the electromagnetic current via the conserved-vector-current constraint, and the two LEC's entering the contact terms in the latter are constrained to reproduce the A=3 magnetic moments. The muon capture rates on deuteron and {sup 3}He are predicted to be 399 {+-} 3 sec{sup -1} and 1494 {+-} 21 sec{sup -1}, respectively, where the spread accounts for the cutoff sensitivity as well as uncertainties in the LEC's and electroweak radiative corrections. By comparing the calculated and precisely measured rates on {sup 3}He, a value for the induced pseudoscalar form factor is obtained in good agreement with the chiral perturbation theory prediction.

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052502 (4 pages)

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  • Journal Name: Physical Review Letters; Journal Volume: 108; Journal Issue: 5

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  • Report No.: JLAB-THY-11-1441
  • Report No.: DOE/OR/23177-1844
  • Report No.: arXiv:1109.5563
  • Grant Number: AC05-06OR23177
  • DOI: 10.1103/PhysRevLett.108.052502 | External Link
  • Office of Scientific & Technical Information Report Number: 1034414
  • Archival Resource Key: ark:/67531/metadc831306

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

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  • January 1, 2012

Added to The UNT Digital Library

  • May 19, 2016, 3:16 p.m.

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  • Aug. 3, 2016, 2:58 p.m.

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Laura E. Marcucci, A. Kievsky, S. Rosati, R. Schiavilla, M. Viviani. Chiral effective field theory predictions for muon capture on deuteron and $^3$He, article, January 1, 2012; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc831306/: accessed October 15, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.