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Heavy-baryon chiral perturbation theory approach to thermal neutron capture on He 3

Heavy-baryon chiral perturbation theory approach to thermal neutron capture on He 3 The cross section for radiative thermal neutron capture on 3 He ( 3 He + n → 4 He + γ ; known as the hen reaction) is calculated based on heavy-baryon chiral perturbation theory. The relevant M1 operators are derived up to next-to-next-to-next-to-leading order (N L 3 O). The initial and final nuclear wave functions are obtained from the rigorous Faddeev-Yakubovski equations for five sets of realistic nuclear interactions. Up to N 3 LO, the M1 operators contain two low-energy constants, which appear as the coefficients of nonderivative two-nucleon contact terms. After determining these two constants using the experimental values of the magnetic moments of the triton and 3 He , we carry out a parameter-free calculation of the hen cross section. The results are in good agreement with the data. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review C American Physical Society (APS)

Heavy-baryon chiral perturbation theory approach to thermal neutron capture on He 3

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2011 The American Physical Society
ISSN
0556-2813
eISSN
1089-490X
DOI
10.1103/PhysRevC.83.034006
Publisher site
See Article on Publisher Site

Abstract

The cross section for radiative thermal neutron capture on 3 He ( 3 He + n → 4 He + γ ; known as the hen reaction) is calculated based on heavy-baryon chiral perturbation theory. The relevant M1 operators are derived up to next-to-next-to-next-to-leading order (N L 3 O). The initial and final nuclear wave functions are obtained from the rigorous Faddeev-Yakubovski equations for five sets of realistic nuclear interactions. Up to N 3 LO, the M1 operators contain two low-energy constants, which appear as the coefficients of nonderivative two-nucleon contact terms. After determining these two constants using the experimental values of the magnetic moments of the triton and 3 He , we carry out a parameter-free calculation of the hen cross section. The results are in good agreement with the data.

Journal

Physical Review C – American Physical Society (APS)

Published: Mar 1, 2011

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