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2020

The effective theory of nuclear scattering for a WIMP of arbitrary spin

Gondolo, Paolo, Kang, Sunghyun, Scopel, Stefano et al.

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We introduce a systematic approach to characterize the most general non-relativistic WIMP-nucleus interaction allowed by Galilean invariance for a WIMP of arbitrary spin $j_\chi$ in the approximation of one-nucleon currents.

Five nucleon currents arise from the nonrelativistic limit of the free nucleon Dirac bilinears.
Our procedure consists in (1) organizing the WIMP currents according to the rank of the $2 j_\chi+1$ irreducible operator products of up to $2 j_\chi$ WIMP spin vectors, and (2) coupling each of the WIMP currents to each of the five nucleon currents.
The transferred momentum $q$ appears to a power fixed by rotational invariance.

The effective theory of nuclear scattering for a WIMP of arbitrary spin · Around

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