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The Nuclear Electric Quadrupole Moment of 87Sr from Highly Accurate Molecular Relativistic Calculations
Gabriele Fabbro1, Jan Brandejs1, Trond Saue1
1Laboratoire de Chimie et Physique Quantique, UMR 5626 Université de Toulouse, 118 Route de Narbonne, Toulouse F-31062, France.
Abstract:
The nuclear electric quadrupole moment (NQM) of 87Sr has recently been revisited using high-precision relativistic atomic calculations [B. Lu et al., Phys. Rev. A 100, 012504 (2019)], indicating that the currently accepted value should be revised and that their result may serve as a new reference. In the present work, we determine the NQM of 87Sr from the molecular method by combining the experimentally measured nuclear quadrupole coupling constants (NQCCs) of SrO and SrS with highly accurate relativistic calculations of the electric field gradient (EFG) at the Sr nucleus. Electronic correlation is treated at the CCSD(T), CCSD-T, and CCSDT̃ levels. The iterative T contribution of the latter composite scheme was obtained using a newly implemented parallel scheme where the distributed memory tensor library cyclops tensor framework (CTF) was made available to the DIRAC code for relativistic molecular calculations through TAPP, the new community standard for tensor operations. All correlated calculations are performed using the exact two-component molecular mean-field Hamiltonian (X2Cmmf). The Gaunt two-electron interaction is incorporated, an even-tempered optimized quadruple-ζ quality basis set is employed, and vibrational corrections are accounted for. Our best result is Q(87Sr) = 0.33666 ± 0.00258 b, which is about 10% larger than currently accepted standard value, while it is in excellent agreement with recent determinations [Y.-B. Tang, Phys. Rev. A 113, 022812 (2026).].
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