Protophobic Fifth Force Interpretation of the Observed Anomaly in ${}^8$Be Nuclear Transitions

Abstract

Recently a 6.8$\sigma$ anomaly has been reported in the opening angle and invariant mass distributions of $e^{+}{e}^{-}$ pairs produced in ${}^8\text{Be}$ nuclear transitions. The data are explained by a 17 MeV vector gauge boson $X$ that is produced in the decay of an excited state to the ground state, ${}^8{\text{Be}}^{\ast }\to {}^8\text{Be}X$, and then decays through $X\to e^{+}{e}^{-}$. The $X$ boson mediates a fifth force with a characteristic range of 12 fm and has milli-charged couplings to up and down quarks and electrons, and a proton coupling that is suppressed relative to neutrons. The protophobic $X$ boson may also alleviate the current 3.6$\sigma$ discrepancy between the predicted and measured values of the muon's anomalous magnetic moment.

6 pages, 2 figures; v2: published version

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