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Hen Process in Effective Field Theory

Young-Ho Song·Tae-Sun Park
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Abstract

An effective field theory technique that combines the standard nuclear physics approach and chiral perturbation theory is applied to the $hen$ process, ${}^{3}{He}+n\to {}^{4}{He}+ γ$. For the initial and final nuclear states, high-precision wave functions are generated via the variational Monte Carlo method using the Argonne $v_{14}$ potential and Urbana VIII trinucleon interactions, while the relevant transition operators are calculated up to ${\cal O}(Q^4)$ in HB$χ$PT. The imposition of the renormalization condition that the magnetic moments of ${}^{3}{He}$ and ${}^{3}{H}$ be reproduced allows us to carry out a parameter-free calculation of the $hen$ cross section. The result, $σ=(60\pm 3\pm 1) μb$, is in reasonable agreement with the experimental values, $(54\pm 6) μb$ and $(55\pm 3) μb$. This agreement demonstrates the validity of the calculational method previously used for estimating the reaction rate of the solar $hep$ process.

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Young-Ho Song, Tae-Sun Park. 2003-11-17. Hen Process in Effective Field Theory. https://arxiv.org/abs/nucl-th/0311055

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