Leading order relativistic corrections to the dipole polarizability of the hydrogen molecular ions

Abstract

The static dipole polarizability for the hydrogen molecular ions H${}_2^{+}$, HD${}^{+}$, and D${}_2^{+}$ are calculated. These new data for polarizability takes into account the leading order relativistic corrections to the wave function of the three-body system resulted from the Breit-Pauli Hamiltonian of $m{\alpha }^4$ order. Our study covers a wide range of rotational ($L=0-5$) and vibrational ($v=0-10$) states, which are of practical interest for precision spectroscopy of the hydrogen molecular ions.

References in corpus (3)

• The static and dynamic polarisability, and the Stark and black-body radiation frequency shifts of the molecular hydrogen ions H2+, HD+, and D2+
• Frequency-dependent polarizability of helium including relativistic effects with nuclear recoil terms
• High-precision nonadiabatic calculations of dynamic polarizabilities and hyperpolarizabilities for the lowlying vibrational-rotational states of hydrogen molecular ions