Blackbody radiation shift of the B+clock transition

Abstract

A calculation of the blackbody radiation shift of the B + clock transition is performed. The polarizabilities of the B + 2s 2 1 S e , 2s2p 1 P o , and 2s2p 3 P o states are computed using the configuration interaction method with an underlying semi-empirical core potential. The recommended dipole polarizabilities are 9.64(3) a 3 0 , 7.78(3) a 3 0 and 16.55(5) a 3 0 respectively. The derived frequency shift for the 2s 2 1 S e → 2s2p 3 P o 0 transition at 300 K is 0.0160(5) Hz. The dipole polarizabilities agree with an earlier relativistic calculation (Safronova et al. Phys. Rev. Lett. 107 143006 (2011)) to better than 0.2%. Quadrupole and octupole polarizabilities and non-adiabatic multipole polarizabilities are also reported.

Dipole Polarizabilities of the Ground States for Berylliumlike Ions

“…The present dipole polarizability agrees with the value from the configuration interaction method considering a semi-empirical core-polarization potential (CICP) [24] to all the four effective figures. For the B + ion, the present dipole polarizability agrees with the value from the CICP method [25] to the second effective figures. The present value locates among three results obtained from three different methods, namely, CI, CI+MBPT, and CI+allorders by Safronova et al [23] In particular, the present calculation is only 0.003 a.u.…”

Blackbody radiation shift of the Ga+clock transition

“…The dynamic correction to the BBR shift has been found to be negligible at the level of precision used in this manuscript. The very small BBR shift is consistent with the small values reported for other group III ions [12,[15][16][17]55]. Table VII is a summary table of polarizability differences and BBR shifts for the clock transitions of the group III ions.…”

“…Just recently, investigations of the ns 2 1 S e 0 → nsnp 3 P o 0 transitions of other group III positive ions of the periodic table, namely, B + , In + and Tl + have been completed. The BBR shifts of all these ions were found to be small, with In + having the largest 300 K BBR shift of −0.017 Hz [15][16][17]. All of these BBR shifts were between 1 to 2 orders of magnitude smaller than the BBR shifts of other atoms and ions advanced as atomic frequency standards [7].…”

Dipole polarizabilities of the transition and post-transition metallic systems

“…There are also a number of calculations of α available by many groups using varieties of many-body approaches among which some of them are based on either the lower order methods or considering the nonrelativistic mechanics. An old calculation of α in B + was reported by Epstein et al [34] based on the coupled perturbed Hartree-Fock (CHF) method while Cheng et al had employed a configuration interaction method considering a semi-empirical core-polarization potential (CICP method) to evaluate it more precisely [35]. Later Safronova et al used a combined CI and LCCSD methods (CI+all order method) to determine α of B + ion [36].…”