Leading-order relativistic and radiative corrections to the rovibrational spectrum of H{sub 2}{sup +} and HD{sup +} molecular ions
- Bogolyubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980 (Russian Federation)
High-precision variational calculations for the rovibrational states in the range of the total orbital momentum L=0-4 and vibrational quantum number v=0-4 for the H{sub 2}{sup +} and HD{sup +} molecular ions are presented. Relativistic and radiative corrections of orders R{sub {infinity}}{alpha}{sup 2}, R{sub {infinity}}{alpha}{sup 2}(m/M), R{sub {infinity}}{alpha}{sup 3}, R{sub {infinity}}{alpha}{sup 3}(m/M), and, partially, R{sub {infinity}}{alpha}{sup 4} are taken into consideration as well as the finite size structure of proton and deuteron. It is found that the relative theoretical uncertainty due to uncalculated contributions of orders R{sub {infinity}}{alpha}{sup 4} and higher to the reference transition frequency interval (L=0,v=0){yields}(0,1) is about 1 ppb.
- OSTI ID:
- 20974736
- Journal Information:
- Physical Review. A, Vol. 74, Issue 5; Other Information: DOI: 10.1103/PhysRevA.74.052506; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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