Nuclear quadrupole moment ofC43aand hyperfine-structure studies of its singly charged ion

Abstract

By combining our theoretical calculation and recently measured electric quadrupole hyperfine structure constant of the 3d 2 D 5/2 state in the singly ionized 43 Ca, we determine its nuclear quadrupole moment to one percent accuracy. The obtained result, −0.0444(6)b, is about ten percent improvement over the considered standard value. We have employed the relativistic coupled-cluster theory at single and double excitations level to calculate the electronic wave functions. The accuracy of these wave functions are estimated by comparing our calculated magnetic dipole hyperfine constants with their corresponding available experimental results of many low-lying states. We also present hyperfine structure constants for other higher excited states where experimental results are not reported. Role of the Breit interaction has been investigated in these properties.

Diverse trends of electron correlation effects for properties with different radial and angular factors in an atomic system: a case study in Ca+

“…We have quoted here two experimental values for the p P 4 2 3 2 state. The reason for this is, we had obtained Q nuc =0.0444(6)b [31] by combining our calculation with the high-precision experimental B hf value of the d D 3 2 5 2 state [48]. Our present calculation also conform with our previously reported value even after accounting more nonlinear terms in equation (41).…”

“…Higher relativistic corrections and triples contributions through the CCSDpT method are found to be very small. In our previous work [31], we had discussed results from other calculations and also reported values from Table 2. Results obtained for A hf (in MHz) and g J factors for the considered states in 43 Ca + using a number of relativistic many-body methods.…”

“…Nevertheless, we get results agreeing within the error bars of the other experimental results in all the three states. We had also discussed about other calculations on these quantities in our earlier work [31]. There is only one experimental value available for Θ of the d D 3 2 5 2 state.…”

Accurate determination of energy levels, hyperfine structure constants, lifetimes and dipole polarizabilities of triply ionized tin isotopes

“…The accurate determination of these quantities provides a stringent test of the correct behavior of calculated atomic wave functions in the nuclear region [32][33][34][35]. They are also employed to test the potential of manybody methods by reproducing the measured values at different levels of approximations in the employed methods [34][35][36]. One can infer nuclear moments by combining measured hyperfine structure constants with the corresponding calculations [35,36].…”

Precision measurement of the Ca+43 nuclear magnetic moment

“…Of particular interest are ions with magic numbers of nucleons [20]. Recently there has been significant theoretical [21][22][23][24][25][26][27] and experimental attention [28][29][30][31][32] given to the calcium isotopic chain as there exist two naturallyoccurring doubly-magic isotopes, 40 Ca and 48 Ca. The properties of the calcium isotopic chain can reveal new aspects of nuclear forces, such as three-body contributions [33] and the appearance of new magic numbers at extreme neutron-to-proton ratios [34].…”