Radial and orbital decomposition of charge radii of Ca nuclei:Comparative study of Skyrme and Fayans functionals
Abstract: We investigate the charge and point-proton radii of the Ca nuclei in detail in the density functional theory framework. As the Fayans energy density functional provides characteristic $N$-dependence, successfully describing the parabolic behavior of the differential charge radii in $20\leq N\leq 28$, we pose our particular focus on its physics origin, by decomposing them into the radial and orbital contributions. The results are compared with those from the Skyrme plus usual pairing functional, which is taken as a representative of the functionals having normal pairing channels. We point out that, because the enhancement of the differential charge radii in $N<20$ with the Fayans functional, which is contradictory with the data, has the origin parallel to the parabolic behavior in $20\leq N\leq 28$, it is significant to describe both $N$ regions simultaneously.
- K. Heyde, Basic Ideas and Concepts in Nuclear Physics, 3rd ed. (Institute of Physics, Bristol, 2004).
- H. Nakada, Exposing minimal composition of Kohn-Sham theory and its extendability, Phys. Scr. 98, 105007 (2023).
- I. Angeli and K. Marinova, Table of experimental nuclear ground state charge radii: An update, At. Data Nucl. Data Tables 99, 69 (2013).
- P. Campbell, I. D. Moore, and M. R. Pearson, Laser spectroscopy for nuclear structure physics, Prog. Part. Nucl. Phys. 86, 127 (2016).
- P. Aufmuth, K. Heilig, and A. Steudel, Changes in mean-square nuclear charge radii from optical isotope shifts, At. Data Nucl. Data Tables 37, 455 (1987).
- P.-G. Reinhard and H. Flocard, Nuclear effective forces and isotope shifts, Nucl. Phys. A 584, 467 (1995).
- M. M. Sharma, G. Lalazissis, and P. Ring, Anomaly in the charge radii of Pb isotopes, Phys. Lett. B 317, 9 (1993).
- H. Nakada and T. Inakura, Effects of three-nucleon spin-orbit interaction on isotope shifts of Pb nuclei, Phys. Rev. C 91, 021302 (2015).
- H. Nakada, Further evidence for three-nucleon spin-orbit interaction in isotope shifts of nuclei with magic proton numbers, Phys. Rev. C 92, 044307 (2015).
- H. Nakada, Properties of exotic nuclei and their linkage to the nucleonic interaction, Int. J. Mod. Phys. E 29, 1930008 (2020).
- S. A. Fayans, Towards a universal nuclear density functional, J. Exp. Theor. Phys. Lett. 68, 169 (1998).
- P.-G. Reinhard and W. Nazarewicz, Toward a global description of nuclear charge radii: Exploring the Fayans energy density functional, Phys. Rev. C 95, 064328 (2017).
- B. A. Brown and K. Minamisono, β2superscript𝛽2{\beta}^{2}italic_β start_POSTSUPERSCRIPT 2 end_POSTSUPERSCRIPT corrections to spherical energy-density functional calculations for root-mean-square charge radii, Phys. Rev. C 106, L011304 (2022).
- H. Nakada, Irregularities in nuclear radii at magic numbers, Phys. Rev. C 100, 044310 (2019).
- M. Bender, P.-H. Heenen, and P.-G. Reinhard, Self-consistent mean-field models for nuclear structure, Rev. Mod. Phys. 75, 121 (2003).
- J. L. Friar and J. W. Negele, Theoretical and experimental determination of nuclear charge distributions, in Advances in Nuclear Physics, Vol. 8, edited by M. Baranger and E. Vogt (Plenum, New York, 1975) pp. 219–376.
- H. Kurasawa and T. Suzuki, The n𝑛nitalic_nth-order moment of the nuclear charge density and contribution from the neutrons, Prog. Theor. Exp. Phys. 2019, 113D01 (2019).
- K. Bennaceur and J. Dobaczewski, Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.00), Comput. Phys. Commun. 168, 96 (2005).
- H. Nakada, Semi-realistic nucleon-nucleon interactions with improved neutron-matter properties, Phys. Rev. C 87, 014336 (2013).
- H. Nakada and K. Sugiura, Predicting magic numbers of nuclei with semi-realistic nucleon–nucleon interactions, Prog. Theor. Exp. Phys. 2014, 033D02 (2014).
- G. Lalazissis, S. Raman, and P. Ring, Ground-state properties of even–even nuclei in the relativistic mean-field theory, At. Data Nucl. Data Tables 71, 1 (1999).
- H. De Vries, C. De Jager, and C. De Vries, Nuclear charge-density-distribution parameters from elastic electron scattering, At. Data Nucl. Data Tables 36, 495 (1987).
- R. L. Workman and Others (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2022, 083C01 (2022).
- H. Kurasawa, T. Suda, and T. Suzuki, The mean square radius of the neutron distribution and the skin thickness derived from electron scattering, Prog. Theor. Exp. Phys. 2021, 013D02 (2020).
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