Abstract
Proton radioactivity is an important and common process of the natural radioactivity of proton-rich nuclei. In our previous work (Cheng et al. in Nucl Rhys A 997: 121717, 2020), we systematically studied the proton radioactivity half-lives of \(53\le Z \le 83\) nuclei within the two-potential approach with Skyrme–Hartree–Fock. The calculations can well reproduce the experimental data of spherical nuclei. The present work is an extension of the previous work. We systematically study 32 proton radioactivity half-lives of spherical nuclei with the two-potential approach with Skyrme–Hartree–Fock (TPA-SHF) within 115 different versions of the Skyrme interactions. The calculated results indicate that the SLy7 Skyrme interaction gives the lowest r.m.s. deviation in the description of the experimental data of the spherical proton emitters among all the different versions of the Skyrme interactions. In addition, we use this model with the SLy7 Skyrme interaction to predict the proton radioactivity half-lives of 7 spherical nuclei in the same region, whose proton radioactivity is energetically allowed or has been observed but is not yet quantified.
Similar content being viewed by others
Data Availability Statement
This manuscript has associated data in a data repository. [Authors’ comment:All data generated during this study are contained in this published article.]
References
K.P. Jackson, C.U. Cardinal, H.C. Evans et al., Phys. Lett. B 33, 281 (1970)
A.A. Sonzogni, Nucl. Data Sheets 95, 1 (2002)
C. Qi, D.S. Delion, R.J. Liotta et al., Phys. Rev. C 85, 011303 (2012)
A. Zdeb, M. Warda, C.M. Petrache et al., Eur. Phys. J. A 52, 323 (2016)
J.G. Deng, X.H. Li, J.L. Chen et al., Eur. Phys. J. A 55, 58 (2019)
B. Blank, M. Borge, Prog. Part. Nucl. Phys. 60, 403 (2008)
D.S. Delion, R.J. Liotta, R. Wyss, Phys. Rep. 424, 113 (2006)
Y.B. Qian, Z.Z. Ren, D.D. Ni, Z.Q. Sheng, Chin. Phys. Lett. 27, 112301 (2010)
D.N. Basu, P. Roy Chowdhury, C. Samanta, Phys. Rev. C 72, 051601 (2005)
X.J. Bao, H.F. Zhang, H.F. Zhang, G. Royer, J.Q. Li, Nucl. Phys. A 921, 85 (2014)
L.S. Ferreira, E. Maglione, P. Ring, Phys. Lett. B 701, 508 (2011)
Madhubrata Bhattacharya, G. Gangopadhyay, Phys. Lett. B 651, 263 (2011)
Q. Tang, X.Y. Wang, Chin. Phys. Lett. 27, 030508 (2011)
M. Balasubramaniam, N. Arunachalam, Phys. Rev. C 71, 014603 (2005)
J.M. Dong, H.F. Zhang, Y.Z. Wang, W. Zuo, J.Q. Li, Nucl. Phys. A 832, 198 (2010)
D.D. Ni, Z.Z. Ren, Phys. Rev. C 84, 037301 (2011)
D.D. Ni, Z.Z. Ren, Phys. Rev. C 83, 067302 (2011)
B. Sven Åberg, Semmes Paul, Phys. Rev. C 56, 1762 (1997)
J.L. Chen, X.H. Li, J.H. Cheng, J.G. Deng, X.J. Wu, J. Phys. G Nucl. Part. Phys. 46, 065107 (2019)
S.A. Gurvitz, G. Kalbermann, Phys. Rev. Lett. 59, 262 (1987)
X.D. Sun, X.J. Wu, B. Zheng et al., Chin. Phys. C 41, 014102 (2017)
X.D. Sun, P. Guo, X.H. Li, Phys. Rev. C 94, 024338 (2016)
X.D. Sun, P. Guo, X.H. Li, Phys. Rev. C 93, 034316 (2016)
X.D. Sun, C. Duan, J.G. Deng et al., Phys. Rev. C 95, 014319 (2017)
X.D. Sun, J.G. Deng, D. Xiang et al., Phys. Rev. C 95, 044303 (2017)
J.G. Deng, J.C. Zhao, D. Xiang et al., Phys. Rev. C 96, 024318 (2017)
J.G. Deng, J.C. Zhao, P.C. Chu et al., Phys. Rev. C 97, 044322 (2018)
B. Buck, A.C. Merchant, S.M. Perez, Phys. Rev. C 45, 2247–2253 (1992)
D. Vautherin, D.M. Brink, Phys. Rev. C 5, 626 (1972)
J.S. Al-khalili, A.J. Cannon, P.D. Stevenson, AIP Conf. Proc. 961, 66 (2007)
T.R. Routray, A. Mishra, S.K. Tripathy et al., Eur. Phys. J. A 48, 77 (2012)
R. Chen, B.J. Cai, L.W. Chen et al., Phys. Rev. C 85, 024305 (2012)
E. Chabanat, P. Bonche, P. Haensel et al., Nucl. Phys. A 627, 710 (1997)
Z. Zhang, C.M. Ko, Phys. Rev. C 98, 054614 (2018)
V.Y. Denisov, A.A. Khudenko, Phys. Rev. C 82, 059902 (2010)
J. Morehead James, J. Math. Phys. 36, 5431 (1995)
G. Audi, F.G. Kondev, M. Wang et al., Chin. Phys. C 41, 030001 (2017)
W.J. Huang, G. Audi, M. Wang et al., Chin. Phys. C 41, 030002 (2017)
M. Wang, G. Audi, F.G. Kondev et al., Chin. Phys. C 41, 030003 (2017)
E. Chabanat, P. Bonche, P. Haensel et al., Nucl. Phys. A 635, 231 (1998)
J. Friedrich, P.G. Reinhard, Phys. Rev. C 33, 335 (1986)
F. Tondeur, M. Brack, M. Farine, J.M. Pearson, Nucl. Phys. A 420, 297 (1984)
M. Samyn, S. Goriely, M. Bender, J.M. Pearson, Phys. Rev. C 70, 044309 (2004)
M. Rayet, M. Arnould, G. Paulus, F. Tondeur, Astron. Astrophys. 116, 183 (1982)
V.G. Nguyen, H. Sagawa, Phys. Lett. B 106, 379 (1981)
J. Margueron, J. Navarro, V.G. Nguyen, Phys. Rev. C 66, 014303 (2002)
B.K. Agrawal, S. Shlomo, A.V. Kim, Phys. Rev. C 72, 014310 (2005)
S. Goriely, F. Tondeur, J.M. Pearso, Atom. Data Nucl. Data 77, 311 (2001)
F. Tondeur, S. Goriely, J.M. Pearson, M. Onsi, Phys. Rev. C 62, 024308 (2000)
J.M. Pearson, S. Goriely, Phys. Rev. C 64, 027301 (2001)
L. Bennour, P.H. Heenen, P. Bonche, J. Dobaczewski, H. Flocard, Phys. Rev. C 40, 2834 (1989)
M. Onsi, H. Przysiezniak, J.M. Pearson, Phys. Rev. C 50, 460 (1994)
P.G. Reinhard, H. Flocard, Nucl. Phys. A. 584, 467 (1995)
S. Goriely, N. Chamel, J.M. Pearson, Phys. Rev. Lett. 102, 152503 (2009)
S. Goriely, M. Samyn, M. Bender, J.M. Pearson, Chin. Phys. C 41, 030003 (2002)
W. Nazarewicz, J. Dobaczewski et al., Phys. Rev. C 53, 740 (1996)
S. Goriely, M. Samyn, J.M. Pearson, Nucl. Phys. A 773, 279 (2006)
J. Bartel, P. Quentin, M. Brack, C. Guet, H.-B. Håkansson, Nucl. Phys. A 386, 79 (1982)
S. Goriely, M. Samyn, J.M. Pearson, Phys. Rev. C 75, 064312 (2007)
S. Goriely, M. Samyn, P.H. Heenen, J.M. Pearson, F. Tondeur, Phys. Rev. C 66, 024326 (2002)
A.K. Dutta, J.P. Arcoragi, J.M. Pearson, R.H. Behrman, M. Farine, Nucl. Phys. A 454, 374 (1986)
J.M. Pearson, R.C. Nayak, Nucl. Phys. A 668, 163 (2000)
M. Samyn, S. Goriely, P.H. Heenen, J.M. Pearson, F. Tondeur, Nucl. Phys. A 700, 142 (2002)
J.M. Pearson, Y. Aboussir, A.K. Dutta, R.C. Nayak, M. Farine, F. Tondeur, Nucl. Phys. A 528, 1 (1991)
H.S. Köhler, Nucl. Phys. A 258, 301 (1976)
S. Goriely, M. Pearson, F. Tondeur, Nucl. Phys. A 688, 349 (2001)
N. Chamel, S. Goriely, J.M. Pearson, Nucl. Phys. A 812, 72 (2008)
B.K. Agrawal, S. Shlomo, V. Kim Au, Astron. Astrophys. 68, 031304 (2003)
H. Krivine, J. Treiner, O. Bohigas, Nucl. Phys. A 336, 155 (1980)
M. Beiner, H. Flocard, Van Giai Nguyen, P. Quentin, Nucl. Phys. A 238, 29 (1975)
B.A. Brown, W.A. Richter, Phys. Rev. C 58, 2099 (1998)
Y. Aboussir, J.M. Pearson, A.K. Dutta, F. Tondeur, Nucl. Phys. A 549, 155 (1992)
R.C. Nayak, J.M. Pearson, Phys. Rev. C 52, 2254 (1995)
M.J. Giannoni, P. Quentin, Phys. Rev. C 21, 2076 (1980)
P.G. Reinhard, D.J. Dean et al., Phys. Rev. C 60, 014316 (1999)
S. Goriely, J.M. Pearson, Phys. Rev. C 77, 031301 (2008)
C.M. Ko, H.C. Pauli, M. Brack, G.E. Brown, Nucl. Phys. A 236, 269 (1974)
L.G. Cao, U. Lombardo, C.W. Shen, Giai Nguyen Van, Phys. Rev. C 73, 014313 (2006)
J. Treiner, H. Krivine, J. Phys. G Nucl. Part. Phys. 2, 285 (1976)
C.J. Pethick, D.G. Ravenhall, C.P. Lorenz, Phys. Rev. C 584, 675 (1995)
M.M. Sharma, G. Lalazissis, J. König, P. Ring, Phys. Rev. Lett. 74, 3744 (1995)
C. Qi, F.R. Xu, R.J. Liotta et al., Phys. Rev. Lett. 103, 072501 (2009)
J.L. Chen, J.Y. Xu, J.G. Deng et al., Eur. Phys. J. A 55, 214 (2019)
K.P. Santhosh, I. Sukumaran, Phys. Rev. C 96, 034619 (2017)
V.Y. Denisov, A.A. Khudenko, At. Data Nucl. Data 95, 815–835 (2009)
K.N. Huang, M. Aoyagi, M.H. Chen et al., At. Data Nucl. Data 18, 243 (1976)
H. Geiger, J.M. Nuttall, Philos. Mag. 22, 613 (1911)
C. Qi, R. Liotta, R. Wyss, Prog. Part. Nucl. Phys. 105, 214 (2019)
Acknowledgements
This work is supported in part by the National Natural Science Foundation of China (Grant No. 11205083, No. 11505100, and No.11905302), the construct program of the key discipline in Hunan province, the Research Foundation of Education Bureau of Hunan Province, China (Grant No. 18A237 and No. 18B263), the Natural Science Foundation of Hunan Province, China (Grant No. 2015JJ3103, No. 2015JJ2123 and No.2018JJ2321), the Innovation Group of Nuclear and Particle Physics in USC, the Shandong Province Natural Science Foundation, China (Grant No. ZR2015AQ007) and the Opening Project of Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment, University of South China (Grant No. 2019KFZ10).
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Pierre Capel.
Xiao-Hua Li, Zhen Zhang and Peng-Cheng Chu have equally contributed to this work.
Rights and permissions
About this article
Cite this article
Cheng, JH., Pan, X., Zou, YT. et al. Systematic study of proton radioactivity of spherical proton emitters with Skyrme interactions. Eur. Phys. J. A 56, 273 (2020). https://doi.org/10.1140/epja/s10050-020-00280-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epja/s10050-020-00280-z