Heavy-baryon chiral perturbation theory approach to thermal neutron capture on ${}^{3}He$

Abstract

The cross section for radiative thermal neutron capture on ${}^{3}He$ ($\He3 +n \to \He4 +γ$; 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${}^3$LO). 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 non-derivative 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.

26 pages, 2 figures

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Cited by in corpus (6)

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• Quantum Monte Carlo calculations of electromagnetic transitions in 8Be with meson-exchange currents derived from chiral effective field theory
• Time Reversal Invariance Violation in Neutron Deuteron Scattering
• Parity violation in radiative neutron capture on deuteron
• Electromagnetic Structure and Reactions of Few-Nucleon Systems in $\chi$EFT
• Electromagnetic structure of light nuclei