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arXiv · 2010.06888

Hyperfine structure of the first rotational level in H$_2$, D$_2$ and HD molecules and the deuteron quadrupole moment

Mariusz Puchalski·Jacek Komasa·Krzysztof Pachucki
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Abstract

We perform the four-body calculation of the hyperfine structure in the first rotational state $J=1$ of the H$_2$, D$_2$, and HD molecules and determine the accurate value for the deuteron electric quadrupole moment $Q_d = 0.285\,699(15)(18)$ fm$^2$ in significant disagreement with former spectroscopic determinations. Our results for the hyperfine parameters agree very well with the currently most accurate molecular-beam magnetic resonance measurement performed several decades ago by N.F. Ramsey and coworkers. They also indicate the significance of previously neglected nonadiabatic effects. Moreover, a very good agreement with the recent calculation of $Q_d$ based on the chiral effective field theory, although much less accurate, indicates the importance of the spin dependence of nucleon interactions in the accurate description of nuclei.

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Mariusz Puchalski, Jacek Komasa, Krzysztof Pachucki. 2020-11-25. Hyperfine structure of the first rotational level in H$_2$, D$_2$ and HD molecules and the deuteron quadrupole moment. https://doi.org/10.1103/physrevlett.125.253001

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