Relative enhancement of low-mass vector-boson exchange in higher waves matrix elements: parity non-conservation in hydrogen

2026/07/19 by V. A. Dzuba, V. V. Flambaum, G. K. Vong
#hep-ph #physics.atom-ph

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Abstract

Models of unification predict additional Z' boson, which contributes to parity non-conservation (PNC) in atoms. If Z' boson is light, ratio of Z' boson contribution to the Standard Model Z boson contribution to atomic PNC increases with decreasing nuclear charge Z faster than 1/Z². This motivated our previous study of PNC in hydrogen and deuterium proportional to the weak interaction matrix elements <s|W|p> . An enormous additional relative enhancement appears in the matrix elements between higher waves, such as <p_1/2,3/2 | W | d_3/2,5/2> , since p_3/2 and d_3/2,5/2 wave functions vanish at r → 0, suppressing matrix elements of the contact Z boson mediated contact electron-nucleus interaction. Measurements of <p_1/2,3/2 | W | d_3/2,5/2> will simplify disentanglement of the Z' contribution from the Standard Model background.

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