Theoretical Analysis of Hyperfine Structure of NaK

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The hyperfine structure of the 13D excited state of NaK was analyzed, using spectroscopic data collected by Prof. Huennekens’ group at Lehigh University. A Hamiltonian matrix was constructed that included terms for rotational energy, centrifugal distortion, spin-orbit, spin-spin, and spin-rotation energy. Constants describing the rotational energy levels have been determined previously by Prof. Huenenkens’ group. In the present work a least squares fitting program was used to determine values of the spin-orbit constants Av and the constant b for the Fermi contact term in the nuclear spin interaction that best fit about 1200 experimentally measured energy levels. Additional fits were examined to estimate upper bounds for the spin-spin and spin rotation contributions. The analysis shows that the data illustrate a transition between Hund’s angular momentum coupling cases bbJ and bbS. Low values of the rotational quantum number N ( 15) correspond to bbJ, and higher values N ( 45) approach the bbS case.

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