Determination of the spin-spin coupling constant of the HD isotopologue of hydrogen for the estimate of existence of nonelectromagnetic spin-dependent interaction
Abstract:
A new experimental value $Jpd = 43.115(9)$ Hz of the spin-spin coupling constant in the HD isotopologue of hydrogen has been obtained. It does not coincide with the value $Jpd = 43.31(5)$ Hz found theoretically by Helgaker et al. in the development of new methods of precise quantum-mechanical calculations at $t \approx 300$ K. As was shown by Ledbetter et al., the difference between the experimental and theoretical data for the spinspin coupling constant $ Jpd $ in HD allows estimating the limits of existence of anomalous spin-dependent potentials between the nucleons on the atomic scale with orders-of-magnitude higher accuracy than other methods. From the earlier data on this difference $(\vartriangle Jpd \approx 0.24$ Hz), Ledbetter et al. estimated the upper limit for the mass of pseudoscalar (axion-like) bosons as $m_a\leq1000$ eV. By analogy with these estimates, the discrepancy $ \vartriangle Jpd \approx (0.195 \pm 0.051)$ Hz of the new results can be interpreted as the manifestation of the anomalous interaction. This interaction can be attributed to the exchange of axion-like particles with the mass $m_a \approx (800 \pm 200)$ eV.
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