Hyperfine splittings of hydrogenlike ions and the dynamic-correlation model for one-hole nuclei

Nuclear magnetization distribution and hyperfine splitting in Bi82+ ion

“…This is one difference between our approach and the DCM where one has to use the restricted single-particle space. Another difference between our work and [14,15] is that RPA accounts for ground state correlations represented graphically by backward going loops. And, finally, we use explicitly the correction to nuclear electromagnetic current due to velocity dependent interaction.…”

“…There are two principal corrections to the Fermi-Breit formulae that is necessary to take into account: the magnetic moment distribution within the nucleus [9][10][11][12][13][14][15] and radiative corrections [11,[16][17][18][19]. Both of these corrections are of comparable magnitude.…”

“…And, finally, we use explicitly the correction to nuclear electromagnetic current due to velocity dependent interaction. This correction was absent in [14,15] since they use velocity independent forces. Previously, this correction was discussed in [20] in connection to the Bohr-Weisskopf effect in bismuth muonic atom.…”

“…High experimental precision attained in the laser spectroscopic measurement of the ground-state hfs in hydrogen-like 209 Bi 82+ [1] stimulates considerable theoretical activity in this field (see, e.g., [11][12][13][14][15][16][17][18][19] and references therein).…”

“…The third and more complete approach is a manybody calculation with the use of "dynamical correlation model" (DCM). This approach is the only calculation of the Bohr-Weisskopf effect which includes many-body contributions and Tomaselli et al have used it for studies of several systems [14,15].…”