Pionless Effective Field Theory Evaluation of Nuclear Polarizability in\n Muonic Deuterium

2020/09/17 by Samuel B. Emmons, Emmons, Samuel B., Chen Ji +3 · 1 citation
Physics and Astronomy · Engineering · #Atomic and Molecular Physics #Muon and positron interactions and applications #Nuclear physics research studies

paper · pdf · doi:10.48550/arxiv.2009.08347

Abstract

We calculate the longitudinal structure function of the deuteron up through\nnext-to-next-to-leading order in the framework of pionless effective field\ntheory. We use these results to compute the two-photon polarizability\ncontribution to Lamb shift in muonic deuterium, which can be utilized to\nextract the nuclear charge radius of the deuteron. We present analytical\nexpressions order-by-order for the relevant transition matrix elements and the\nlongitudinal structure function, and we give numerical results for the\ncorresponding contributions to the Lamb shift. We also discuss the impact of\nrelativistic and other higher-order effects. We find agreement with previous\ncalculations and explain the accuracy of our calculation.\n

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