Abstract
Available experimental neutron skin thicknesses of even-even stable Ca, Ni, Sn, Pb, and Cd isotopes are evaluated, and separate trends of neutron skin thickness versus relative neutron excess $\ensuremath{\delta}=(N\ensuremath{-}Z)/A$ are observed for different isotopic chains. This phenomenon is quantitatively reproduced by the deformed Skyrme Hartree-Fock $+$ Bardeen-Cooper-Schrieffer model with SLy4 force.
Highlights
The nucleus is a quantum many-body system consisting of neutrons and protons
These valuable quantities are usually used to test and constrain microscopic theories, for instance, by which odd-even staggering of the charge radii of exotic copper isotopes [4] and shape-staggering effects in mercury isotopes [5] have been well explained by dedicated theoretical calculations
It is noted that the proton distribution rms radius can be deduced from the nuclear charge rms radius [6], and the precision of the proton rms radius is high
Summary
The nucleus is a quantum many-body system consisting of neutrons and protons. The root-mean-square (rms) radii of the neutron and proton, which characterize the spatial matter density distributions of neutrons and protons in a nucleus, are fundamental properties of the nucleus [1,2]. By using the rnp data with large uncertainties, a linear dependence of rnp on the relative neutron excess, δ = (N − Z )/A, was reported with a fitting goodness (χ 2) of 0.6, see Fig. 4 in [21]. This result has extensively been used to constrain theories [18,22,23,24,25,26] and to predict the nuclear rnp values as well. If the uncertainties of neutron skin thicknesses are improved, what can be observed on the linear trend reported in [21]? In this work, available rnp data of even-even stable Ca, Ni, Sn, Pb, and Cd isotopes are evaluated in order to study the systematic behavior of rnp versus δ
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