From Calcium to Cadmium: Testing the Pairing Functional through Charge Radii Measurements of Cd100−130

Abstract

Differences in mean-square nuclear charge radii of ^{100-130}Cd are extracted from high-resolution collinear laser spectroscopy of the 5s ^{2}S_{1/2}→5p ^{2}P_{3/2} transition of the ion and from the 5s5p ^{3}P_{2}→5s6s ^{3}S_{1} transition in atomic Cd. The radii show a smooth parabolic behavior on top of a linear trend and a regular odd-even staggering across the almost complete sdgh shell. They serve as a first test for a recently established new Fayans functional and show a remarkably good agreement in the trend as well as in the total nuclear charge radius.

Charge Radius of the Short-Lived Ni68 and Correlation with the Dipole Polarizability

“…with µ = (m A − m 60 )/(m A · m 60 ) and m A being the respective atomic masses. A King-fit analysis was performed using the procedure described in [18] and based on the known rms charge radii of the stable nickel isotopes extracted from the combined analysis of muonic atom data and elastic electron scattering provided in [19]. An x-axis offset of α = 397 u fm 2 was used to remove the correlation between M and F and the result of the fit is depicted in shift parameter of F = −788(82) MHz/fm 2 .…”

Analytic response relativistic coupled-cluster theory: the first application to indium isotope shifts

“…O , and superscripts (0) and (1) indicate the unperturbed and the first-order perturbed corrections due to O, respectively. Substituting the above expanded form of the operators into equations (9) and (10), and then equating the zeroth-order and firstorder terms in λ O gives the equations for the unperturbed and perturbed RCC operators, respectively. Similarly, the first-order terms from the expansion in equation (11) will correspond to the expectation values of the operator O.…”

“…Remarkably, the extracted d á ñ r 2 values agree for all four optical transitions, which gives confidence in the accuracy of the calculations. The absolute charge radii, á ñ r A 2 , using the reference isotope 115 In (4.615 fm [43]), are compared to its isobaric neighbors Sn (Z=50) [61] and Cd (Z=48) [9] in figure 2. The effect of inaccurate calculation of the MS factors using the EVE approach is seen to be significant, causing a large discrepancy between the values extracted from the four transitions shown in figure 2(a).…”

“…the size of the nucleus [1], the existence of new bosons [2,3], new spin-independent interactions [4,5] and long-range neutrino-mediated forces [6]. Currently, extensive experimental efforts worldwide have been focused on the development of complementary techniques to perform high-precision measurements of IS in atomic transitions, across different isotopic chains [7][8][9][10]. Alongside the experimental progress, the development of many-body methods plays a central role in these studies as it provides the means to extract nuclear-structure and fundamental-physics parameters from experimental observations [11].…”

“…Accurate determination of the charge radii of radioactive isotopes is not only relevant for nuclear structure research, but can provide a deeper insight into nuclear matter [20,21]. Motivated by the current nuclear structure interest in the study of ISs around proton number Z=50 [22][23][24][25], our theoretical developments were used to perform, for the first time, ab initio calculations of atomic factors for indium (In) atom (Z=49). The In isotope chain offers a comprehensive laboratory to test these theoretical developments.…”