Universal trend of charge radii of even-even Ca–Zn nuclei

Kortelainen, Markus; Sun, Zhonghao; Hagen, Gaute; Nazarewicz, Witold; Papenbrock, Thomas; Reinhard, Paul-Gerhard

doi:10.1103/physrevc.105.l021303

Title: Universal trend of charge radii of even-even Ca–Zn nuclei

Journal Article · 03 February 2022 · Physical Review. C

DOI: https://doi.org/10.1103/physrevc.105.l021303 · OSTI ID:1843921

^[1]; Sun, Zhonghao ^[2];

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Univ. of Jyvaskyla (Finland); University of Tennessee; Oak Ridge National Laboratory
Univ. of Tennessee, Knoxville, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Michigan State Univ., East Lansing, MI (United States)
Univ. of Erlangen (Germany)

Radii of nuclear charge distributions carry information about the strong and electromagnetic forces acting inside the atomic nucleus. Whereas the global behavior of nuclear charge radii is governed by the bulk properties of nuclear matter, their local trends are affected by quantum motion of proton and neutron nuclear constituents. The measured differential charge radii δ$$\langle$$$$r^{2}_{c}$$$$\rangle$$ between neutron numbers N = 28 and N = 40 exhibit a universal pattern as a function of n = N – 28 that is independent of the atomic number. In this work, we analyze this remarkable behavior in even-even nuclei from calcium to zinc using two state-of-the-art theories based on quantified nuclear interactions: the ab initio coupled cluster theory and nuclear density functional theory. Both theories reproduce the smooth rise of differential charge radii and their weak dependence on the atomic number. By considering a large set of isotopic chains, we show that this trend can be captured by just two parameters: the slope and curvature of δ$$\langle$$$$r^{2}_{c}$$$$\rangle$$(n). We demonstrate that these parameters show appreciable model dependence, and the statistical analysis indicates that they are not correlated with any single model property, i.e., they are impacted by both bulk nuclear properties as well as shell structure.

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Research Organization:: Michigan State Univ., East Lansing, MI (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)

Sponsoring Organization:: Academy of Finland; USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC05-00OR22725; FG02-96ER40963; SC0013365; SC0018083; SC0018223

OSTI ID:: 1843921

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 2 Vol. 105; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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