skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory

Abstract

Cross sections for inclusive neutrino scattering off deuteron induced by neutral and charge-changing weak currents are calculated from threshold up to 150 MeV energies in a chiral effective field theory including high orders in the power counting. The contributions beyond leading order (LO) in the weak current are found to be small, and increase the cross sections obtained with the LO transition operators by a couple of percent over the whole energy range (0--150) MeV. Furthermore, the cutoff dependence is negligible, and the predicted cross sections are within ~2% of, albeit consistently larger than, corresponding predictions obtained in conventional meson-exchange frameworks.

Authors:
 [1];  [2]
  1. Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics
  2. Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States). Theory Center
Publication Date:
Research Org.:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
OSTI Identifier:
1372224
Report Number(s):
JLAB-THY-17-2444; DOE/OR/23177-4118; arXiv:1704.02002
Journal ID: ISSN 2469-9985; PRVCAN
Grant/Contract Number:
AC05-06OR23177
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 96; Journal Issue: 1; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Baroni, A., and Schiavilla, R.. Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory. United States: N. p., 2017. Web. doi:10.1103/PhysRevC.96.014002.
Baroni, A., & Schiavilla, R.. Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory. United States. doi:10.1103/PhysRevC.96.014002.
Baroni, A., and Schiavilla, R.. 2017. "Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory". United States. doi:10.1103/PhysRevC.96.014002.
@article{osti_1372224,
title = {Inclusive neutrino scattering off the deuteron at low energies in chiral effective field theory},
author = {Baroni, A. and Schiavilla, R.},
abstractNote = {Cross sections for inclusive neutrino scattering off deuteron induced by neutral and charge-changing weak currents are calculated from threshold up to 150 MeV energies in a chiral effective field theory including high orders in the power counting. The contributions beyond leading order (LO) in the weak current are found to be small, and increase the cross sections obtained with the LO transition operators by a couple of percent over the whole energy range (0--150) MeV. Furthermore, the cutoff dependence is negligible, and the predicted cross sections are within ~2% of, albeit consistently larger than, corresponding predictions obtained in conventional meson-exchange frameworks.},
doi = {10.1103/PhysRevC.96.014002},
journal = {Physical Review C},
number = 1,
volume = 96,
place = {United States},
year = 2017,
month = 7
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on July 19, 2018
Publisher's Version of Record

Save / Share:
  • Cross sections for inclusive neutrino scattering off deuteron induced by neutral and charge-changing weak currents are calculated from threshold up to GeV energies, using the Argonne v{sub 18} potential and consistent nuclear electroweak currents with one- and two-body terms. Two-body contributions are found to be small, and increase the cross sections obtained with one-body currents by less than 10% over the whole range of energies. Total cross sections obtained by describing the final two-nucleon states with plane waves differ negligibly, for neutrino energies {approx}> 500 MeV, from those in which interaction effects in these states are fully accounted for. Themore » sensitivity of the calculated cross sections to different models for the two-nucleon potential and/or two-body terms in the weak current is found to be weak. In order to illustrate nuclear structure effects, the cross sections are compared to those obtained in a naive model in which the deuteron is taken to consist of a free proton and neutron at rest.« less
  • 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.more » 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.« less
  • Cited by 11