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26 April 2024
 
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Hen Process in Effective Field Theory
Young-Ho Song ; Tae-Sun Park ;
Date 17 Nov 2003
Subject nucl-th astro-ph hep-ph
AbstractAn effective field theory technique that combines the standard nuclear physics approach and chiral perturbation theory is applied to the $hen$ process, ${}^{3}{He}+n o {}^{4}{He}+ gamma$. 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$chi$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, $sigma=(60pm 3pm 1) mu b$, is in reasonable agreement with the experimental values, $(54pm 6) mu b$ and $(55pm 3) mu b$. This agreement demonstrates the validity of the calculational method previously used for estimating the reaction rate of the solar $hep$ process.
Source arXiv, nucl-th/0311055
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