2020
DOI: 10.1103/physrevd.101.015013
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Anapole dark matter quantum mechanics

Abstract: The dynamics of an anapole seen as dark matter at low energies is studied by solving the Schrödinger-Pauli equation in a potential involving Dirac-delta and its derivatives in threedimensions. This is an interesting mathematical problem that, as far as we know, has not been previously discussed. We show how bound states emerge in this approach and the scattering problem is formulated (and solved) directly. The total cross section is in full agreement with independent calculations in the standard model.

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Cited by 3 publications
(2 citation statements)
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“…Then, we cannot resist the temptation to deal with specific equations of possible production of gamma-rays from the cosmic annihilation of neutrinos-antineutrinos. Finally, we present the anapole which has already been suggested as a model of elementary particles describing dark matter in the universe [115,116]. Here, we propose that sterile magnetic neutrinos may exhibit a nonradiating current setup in dark matter.…”
Section: Dark Matter Not So Dark After All; Academic Hypothesesmentioning
confidence: 83%
“…Then, we cannot resist the temptation to deal with specific equations of possible production of gamma-rays from the cosmic annihilation of neutrinos-antineutrinos. Finally, we present the anapole which has already been suggested as a model of elementary particles describing dark matter in the universe [115,116]. Here, we propose that sterile magnetic neutrinos may exhibit a nonradiating current setup in dark matter.…”
Section: Dark Matter Not So Dark After All; Academic Hypothesesmentioning
confidence: 83%
“…DM is electrically neutral, but coupling to the photon through higher multipole interactions is possible [11,[27][28][29][30][31][32][33][34][35][36][37]. Many couplings have been studied, such as anapole moment [37][38][39][40][41], magnetic [30,37,[42][43][44] and electric [30,44] dipole moments, and with a millicharge [45][46][47][48][49][50]. These photon-mediated interactions could be relevant for low WIMP masses, O(1-10)-GeV/c 2 [51].…”
Section: Introductionmentioning
confidence: 99%