Many-Body Calculations of the Isotope Shift
نویسنده
چکیده
Atomic energy levels are commonly evaluated assuming that the nuclear mass is infinite. In this report, we consider corrections to atomic levels associated with finite nuclear mass. These corrections are referred to as isotope shifts. We evaluate isotope shifts using many-body perturbation theory (MBPT), following the pioneering work by Mårtensson-Pendrill et al. [1, 2, 3, 4, 5, 6, 7, 8, 9]. We first give a brief discussion of contributions to the isotope shift, then go on to specific examples. For simplicity, the examples discussed here are limited to isotope shifts in atoms with a single valence electron. We consider a nonrelativistic atom withN electrons of massme at ( r1, r2, · · ·) and a nucleus of mass MA at r0. The Hamiltonian for the N + 1 particle atom may be written
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