Chiral Lagrangian Approach to Exchange Vector Currents in Nuclei

Abstract

Exchange vector currents are calculated up to one-loop order (corresponding to next-to-next-to-leading order) in chiral perturbation theory. As an illustration of the power of the approach, we apply the formalism to the classic nuclear process $n+p\to d+\gamma$ at thermal energy. The exchange current correction comes out to be $(4.5\pm 0.3)$ \% in amplitude giving a predicted cross section $σ= (334\pm 3)\ {\mbox mb}$ in excellent agreement with the experimental value $(334.2\pm 0.5)\ {\mbox mb}$. Together with the axial charge transitions computed previously, this result provides a strong support for the power of chiral Lagrangians in nuclear physics. As a by-product of our results, we suggest an open problem in the application of chiral Lagrangian approach to nuclear processes that has to do with giving a physical meaning to the short-range correlations that play an important role in nuclei.

42 pages, uuencoded 7 figures (epsfig.sty included), LaTeX

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• An accurate nucleon-nucleon potential with charge-independence breaking
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