Abstract: Arch behaviour of charge radii of Ca isotopes has been a long standing problem in nuclear theory [1–6]. Recently, it was proposed that the Fayans pairing is a possible solution to obtain it using nuclear density functional theory [2, 7]. In this talk, we will explain the mechanism why the Fayans pairing can show the arch behaviour [8].

References:

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[2] P.-G. Reinhard and W. Nazarewicz, Phys. Rev. C 95, 064328 (2017).

[3] U. C. Perera, A. V. Afanasjev, and P. Ring, Phys. Rev. C 104, 064313 (2021).

[4] G. Co’, M. Anguiano, and A. M. Lallena, Phys. Rev. C 105, 034320 (2022).

[5] B. A. Brown and K. Minamisono, Phys. Rev. C 106, L011304 (2022).

[6] T. Naito, T. Oishi, H. Sagawa, and Z. Wang, Phys. Rev. C 107, 054307 (2023).

[7] T. Inakura, N. Hinohara, and H. Nakada, Phys. Rev. C 110, 054315 (2024).

[8] T. Naito, G. Colò, X. Roca-Maza, H. Sagawa, and E. Vigezzi, To be submitted.