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- W2769968171 abstract "The parity-odd effect in the Standard Model weak neutral current reveals itself in the long-range parity-violating nuclear potential generated by the pion exchanges in the $Delta I=1$ channel with the parity-odd pion-nucleon coupling constant $h_pi^1$. Despite decades of experimental and theoretical efforts, the size of this coupling constant is still not well-understood. In this Letter we derive a soft-pion theorem relating $h_pi^1$ and the neutron-proton mass-splitting induced by an artificial parity-even counterpart of the $Delta I=1$ weak Lagrangian, and demonstrate that the theorem still holds exact at the next-to-leading order in chiral perturbation theory. A considerable amount of simplification is expected in the study of $h_pi^1$ by using either lattice or other QCD models following its reduction from a parity-odd proton-neutron-pion matrix element to a simpler spectroscopic quantity. The theorem paves the way to much more precise calculations of $h_pi^1$, and thus a quantitative test of the strangeness-conserving neutral current interaction of the Standard Model is foreseen." @default.
- W2769968171 created "2017-12-04" @default.
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- W2769968171 date "2018-05-02" @default.
- W2769968171 modified "2023-10-17" @default.
- W2769968171 title "Novel Soft-Pion Theorem for Long-Range Nuclear Parity Violation" @default.
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- W2769968171 doi "https://doi.org/10.1103/physrevlett.120.181801" @default.
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