An empirical formula of nuclear <i>β</i>-decay half-lives with the transition-strength contribution

[1]
E. J. Konopinski, Rev. Mod. Phys. 15, 209 (1943)
[2]
F. G. Kondev, M. Wang, W. J. Huang, S. Naimi, and G. Audi, Chin. Phys. C 45, 030001 (2021)
[3]
D. Lunney, J.M. Pearson, C. Thibault, Rev. Mod. Phys. 75, 1021 (2003)
[4]
E. Nácher, A. Algora, B. Rubio, J. L. Taín, and D. Cano-Ott, S. Courtin, Ph. Dessagne, F. Maréchal, Ch. Miehé, and E. Poirier et al., Phys. Rev. Lett. 92, 232501 (2004)
[5]
S. Grévy, J. C. Angélique, P. Baumann, C. Borcea, A. Buta, G. Canchel, W. N. Catford, S. Courtin, J. M. Daugas, and F. de Oliveira et al., Phys. Lett. B 594, 252 (2004)
[6]
K. Yoshida, Y. F. Niu, and F. Minato, Phys. Rev. C 108, 034305 (2023)
[7]
V. Tripathi, S. L. Tabor, P. F. Mantica, Y. Utsuno, P. Bender, J. Cook, C. R. Hoffman, S. Lee, T. Otsuka, J. Pereira et al., Phys. Rev. Lett. 101, 142504 (2008)
[8]
A. I. Morales, G. Benzoni, N. Al-Dahan, S. Vergani, Zs. Podolyák, P. H. Regan, T. P. D. Swan, J. J. Valiente-Dobón, A. Bracco, and P. Boutachkov et al., Europhys. Lett. 111, 52001 (2015)
[9]
J. Wu, S. Nishimura, P. Möller, M. R. Mumpower, R. Lozeva, C. B. Moon, A. Odahara, H. Baba, F. Browne, and R. Daido et al., Phys. Rev. C 101, 042801 (R) (2020)
[10]
T. Kajino, W. Aoki, A. B. Balantekin, R. Diehl, M. A. Famiano, and G. J. Mathews, Prog. Part. Nucl. Phys. 107, 109 (2019)
[11]
J. J. Cowan, C. Sneden, J. E. Lawler, A. Aprahamian, M. Wiescher, K. Langanke, G. Martínez-Pinedo, and F. -K. Thielemann, Rev. Mod. Phys. 93, 015002 (2021)
[12]
E. M. Burbidge, G. R. Burbidge, W. A. Fowler, and F. Hoyle, Rev. Mod. Phys. 29, 547 (1957)
[13]
K. Langanke and G. Martínez-Pinedo, Rev. Mod. Phys. 75, 819 (2003)
[14]
Y. Z. Qian, Prog. Part. Nucl. Phys. 50, 153 (2003)
[15]
M. Arnould, S. Goriely, and K. Takahashi, Phys. Rep. 450, 97 (2007)
[16]
M. R. Mumpower, R. Surmana, G. C. McLaughlin, and A. Aprahamian, Prog. Part. Nucl. Phys. 86, 86 (2016)
[17]
N. Nishimura, T. Kajino, G. J. Mathews, S. Nishimura, and T. Suzuki, Phys. Rev. C 85, 048801 (2012)
[18]
J. Chen, J. Y. Fang, Y. W. Hao, Z. M. Niu, and Y. F. Niu, Astrophys. J. 943, 102 (2023)
[19]
K. Takahashi and M. Yamada, Prog. Theor. Phys. 41, 1470 (1969)
[20]
T. Tachibana, M. Yamada, and Y. Yoshida, Prog. Theor. Phys. 84, 641 (1990)
[21]
H. Nakata, T. Tachibana, and M. Yamada, Nucl. Phys. A 625, 521 (1997)
[22]
H. Koura and S. Chiba, Phys. Rev. C 95, 064304 (2017)
[23]
G. Martínez-Pinedo and K. Langanke, Phys. Rev. Lett. 83, 4502 (1999)
[24]
T. Suzuki, T. Yoshida, T. Kajino, and T. Otsuka, Phys. Rev. C 85, 015802 (2012)
[25]
Q. Zhi, E. Caurier, J. J. Cuenca-García, K. Langanke, G. Martínez-Pinedo, and K. Sieja, Phys. Rev. C 87, 025803 (2013)
[26]
J. Engel, M. Bender, J. Dobaczewski, W. Nazarewicz, and R. Surman, Phys. Rev. C 60, 014302 (1999)
[27]
F. Minato and C. L. Bai, Phys. Rev. Lett. 110, 122501 (2013)
[28]
Z. M. Niu, Y. F. Niu, H. Z. Liang, W. H. Long, T. Nikšić, D. Vretenar, and J. Meng, Phys. Lett. B 723, 172 (2013)
[29]
P. Möller, B. Pfeiffer, and K. -L. Kratz, Phys. Rev. C 67, 055802 (2003)
[30]
I. N. Borzov and S. Goriely, Phys. Rev. C 62, 035501 (2000)
[31]
X. P. Zhang, Z. Z. Ren, Q. J. Zhi, and Q. Zheng, J. Phys. G: Nucl. Part. Phys. 34, 2611 (2007)
[32]
Y. Zhou, Z. H. Li, Y. B. Wang, Y. S. Chen, B. Guo, J. Su, Y. J. Li, S. Q. Yan, X. Y. Li, and Z. Y. Han et al., Sci. China-Phys. Mech. Astron. 60, 082012 (2017)
[33]
M. Shi, J. Y. Fang, and Z. M. Niu, Chin. Phys. C 45, 044103 (2021)
[34]
N. K. Uyen, K. Y. Chae, N. N. Duy, and N. D. Ly, J. Phys. G: Nucl. Part. Phys. 49, 025201 (2022)
[35]
F. Endo and H. Koura, Phys. Rev. C 99, 034303 (2019)
[36]
J. Y. Fang, J. Chen, and Z. M. Niu, Phys. Rev. C 106, 054318 (2022)
[37]
P. Möller, M. R. Mumpower, T. Kawano, and W. D. Myers, At. Data Nucl. Data Tables 125, 1 (2019)
[38]
T. Marketin, L. Huther, and G. Martínez-Pinedo, Phys. Rev. C 93, 025805 (2016)
[39]
Z. M. Niu, Y. F. Niu, Q. Liu, H. Z. Liang, and J. Y. Guo, Phys. Rev. C 87, 051303(R) (2013)
[40]
Z. Y. Wang, Y. F. Niu, Z. M. Niu, and J. Y. Guo, J. Phys. G: Nucl. Part. Phys. 43, 045108 (2016)
[41]
T. Nakatsukasa, T. Inakura, and K. Yabana, Phys. Rev. C 76, 024318 (2007)
[42]
H. Z. Liang, T. Nakatsukasa, Z. M. Niu, and J. Meng, Phys. Rev. C 87, 054310 (2013)
[43]
M. T. Mustonen and J. Engel, Phys. Rev. C 93, 014304 (2016)
[44]
E. M. Ney, J. Engel, T. Li, and N. Schunck, Phys. Rev. C 102, 034326 (2020)
[45]
J. G. Xia, W. F. Li, J. Y. Fang, Z. M. Niu, Acta. Phys. Sin. 73, 062301 (2024)
[46]
B. W. Sargent, Proc. R. Soc. Lond. A 139, 659 (1933)
[47]
J. Y. Fang, The improved Gross theory and its investigation of β decay half-lives of nuclei, Ph.D. thesis, Anhui University, 2023.
[48]
K. Ikeda, S. Fujii, and J. I. Fujita, Phys. Lett. B 3, 271 (1963)
[49]
E. Fermi, Z. Phys. 88, 161 (1934)
[50]
N. Wang, M, L iu, X. Z. Wu, and J. Meng, Phys. Lett. B 734, 215 (2014)
[51]
F. Minato, Z. M. Niu, and H. Z. Liang, Phys. Rev. C 106, 024306 (2022)
[52]
G. G. Kiss, A. Vitéz-Sveiczer, Y. Saito, A. Tarifeño-Saldivia, M. Pallas, J. L. Tain, I. Dillmann, J. Agramunt, A. Algora, and C. Domingo-Pardo et al., Astrophys. J. 936, 107 (2022)