\begin{document}$ ^{221} {{\rm{Fr}}}$\end{document} to \begin{document}$^{242} {{\rm{Cm }}}$\end{document} using a phenomenological model that considers the screened electrostatic effect of the Coulomb potential. In this model, there are two adjustable parameters, t and g, which are related to the screened electrostatic barrier and the strength of the spectroscopic factor, respectively. The calculated results indicate that this model can effectively reproduce the experimental data, with a corresponding root-mean-square deviation of 0.660. In addition, we extend this model to predict the half-lives of possible cluster radioactive candidates whose cluster radioactivities are energetically allowed or observed but not yet quantified in the evaluated nuclear properties table NUBASE2020. The predicted results are consistent with those obtained using other theoretical models and/or empirical formulas, including the universal decay law proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a semi-empirical model for both α decay and cluster radioactivity proposed by Santhosh et al. [J. Phys. G 35, 085102 (2008)], and a unified formula for the half-lives of α decay and cluster radioactivity proposed by Ni et al. [Phys. Rev. C 78, 044310 (2008)]."> Systematic calculations of cluster radioactivity half-lives with a screened electrostatic barrier -
  • [1]

    S. Hofmann and G. Münzenberg, Rev. Mod. Phys733, 72 (2000)

  • [2]

    G. Audi, O. Bersillon, J. Blachotet al., Nucl. Phys. A729, 3 (2003)

  • [3]

    A. Săndulescu, D. N. Poenaru, and W. Greiner, Fiz. Elem. Chastits At. Yadra11, 1334 (1980)

  • [4]

    H. J. Rose and G. A. Jones, Nature (London)307, 245 (1984).

  • [5]

    D. N. Poenaru, M. Ivascu, A. Săndulescuet al., J. Phys. G: Nucl. Part. Phys.10, L183 (1984)

  • [6]

    S. Kumar and R. K. Gupta, Phys. Rev. C49, 1922 (1994)

  • [7]

    B. Buck, A. C. Merchant, and S. M. Perez, Phys. Rev. Lett.76, 380 (1996)

  • [8]

    R. G. Lovas, R. J. Liotta, A. Insoliaet al., Phys. Rep.294, 265 (1998)

  • [9]

    G. Royer and R. Moustabchir, Nucl. Phys. A683, 182 (2001)

  • [10]

    K. Wei and H. F. Zhang, Phys. Rev. C102, 034318 (2020)

  • [11]

    D. N. Poenaru and W. Greiner, J. Phys. G: Nucl. Part. Phys.17, S443 (1991)

  • [12]

    S. W. Barwick, P. B. Price, and J. D. Stevenson, Phys. Rev. C31, 1984 (1985)

  • [13]

    R. Bonetti, C. Carbonini, A. Guglielmettiet al., Nucl. Phys. A686, 64 (2001)

  • [14]

    R. K. Gupta and W. Greiner, Int. J. Mod. Phys. E3, 335 (1994)

  • [15]

    A. Săndulescu, J. Phys. G: Nucl. Part. Phys.15, 529 (1989)

  • [16]

    R. Bonetti and A. Guglielmetti, Rom. Rep. Phys.59, 2 (2007)

  • [17]

    R. K. Gupta, S. Dhaulta, R. Kumaret al., Phys. Rev. C68, 034321 (2003)

  • [18]

    S. Kumar, R. Rani, and R. Kumar, J. Phys. G: Nucl. Part. Phys.36, 015110 (2008)

  • [19]

    G. Zhang, Y. Yao, M. Guoet al., Nucl. Phys. A951, 86 (2016)

  • [20]

    V. Zanganah, D. T. Akrawy, H. Hassanabadiet al., Nucl. Phys. A997, 121714 (2020)

  • [21]

    D. N. Poenaru and W. Greiner, Phys. Scr.44, 427 (1991)

  • [22]

    S. S. Malik and R. K. Gupta, Phys. Rev. C39, 1992 (1989)

  • [23]

    B. Buck and A. C. Merchant, Phys. Rev. C39, 2097 (1989)

  • [24]

    H. F. Zhang, J. M. Dong, G. Royeret al., Phys. Rev. C80, 037307 (2009)

  • [25]

    K. P. Santhosh and R. K. Biju, Ann. Phys.334, 280 (2013)

  • [26]

    R. Kumar, Phys. Rev. C86, 044612 (2012)

  • [27]

    R. Kumar and M. K. Sharma, Phys. Rev. C85, 054612 (2012)

  • [28]

    A. Singh, A. Shukla, and M. K. Gaidarov, J. Phys. G: Nucl. Part. Phys.49, 025101 (2022)

  • [29]

    L. J. Qi, D. M. Zhang, S. Luoet al., Chin. Phys. C47, 014101 (2023)

  • [30]

    Y. B. Qian and Z. Z. Ren, J. Phys. G: Nucl. Part. Phys.39, 015103 (2012)

  • [31]

    M. Gonalves and S. B. Duarte, Phys. Rev. C48, 2409 (1993)

  • [32]

    D. S. Delion, Phys. Rev. C80, 024310 (2009)

  • [33]

    G. Zhang and X. Le, Nucl. Phys. A848, 292 (2010)

  • [34]

    B. Buck and A. C. Merchant, J. Phys. G: Nucl. Part. Phys.15, 615 (1989)

  • [35]

    S. N. Kuklin, G. G. Adamian, and N. V. Antonenko, Phys. Rev. C71, 014301 (2005)

  • [36]

    V. Y. Denisov, Phys. Rev. C88, 044608 (2013)

  • [37]

    C. Qi, F. R. Xu, R. J. Liottaet al., Phys. Rev. C80, 044326 (2009)

  • [38]

    Z. Z. Ren, C. Xu, and Z. J. Wang, Phys.Rev.C70, 034304 (2004)

  • [39]

    D. D. Ni, Z. Z. Ren, T. K. Donget al., Phys. Rev. C78, 044310 (2008)

  • [40]

    Y. J. Ren and Z. Z. Ren, Phys. Rev. C85, 044608 (2012)

  • [41]

    M. Horoi, J. Phys. G: Nucl. Part. Phys.30, 945 (2004)

  • [42]

    Y. Z. Wang, F. Z. Xing, Y. Xiaoet al., Chin. Phys. C45, 044111 (2021)

  • [43]

    M. Balasubramaniam, S. Kumarasamy, N. Arunachalamet al., Phys. Rev.C70, 017301 (2004)

  • [44]

    C. Qi, F. R. Xu, R. J. Liottaet al., Phys. Rev. Lett.103, 072501 (2009)

  • [45]

    D. N. Poenaru, R. A. Gherghescu, and W. Greiner, Phys. Rev. C83, 014601 (2011)

  • [46]

    B. Sahu, R. Paira, and B. Rath, Nucl. Phys. A908, 40 (2013)

  • [47]

    Y. L. Zhang and Y. Z. Wang, Phys. Rev. C97, 014318 (2018)

  • [48]

    O. A. P. Tavares, E. L. Medeiros, and M. L. Terranovait, J. Phys. G: Nucl. Part. Phys.31, 129 (2005)

  • [49]

    O. A. P. Tavares, M. L. Terranovait, and E. L. Medeiros, Nucl. Instrum. Meth. B243, 256 (2006)

  • [50]

    Y. T. Zou, X. Pan, H. M. Liuet al., Phys. Scr.96, 075301 (2021)

  • [51]

    Y. T. Zou, X. Pan, X. H. Liet al., Commun. Theor. Phys.74, 115302 (2022)

  • [52]

    Y. Y. Xu, D. X. Zhu, Y. T. Zouet al., Chin. Phys. C46, 114103 (2022)

  • [53]

    K. P. Santhosh and T. A. Jose, Indian. J. Phys95, 121 (2021)

  • [54]

    A. Zdeb, M. Warda, and K. Pomorski, Phys. Rev. C87, 024308 (2013)

  • [55]

    H. M. Liu, Y. T. Zou, X. Panet al., Phys. Scr.96, 125322 (2021)

  • [56]

    M. Wang, W. J. Huang, F. G. Kondevet al., Chin. Phys. C45, 030003 (2021)

  • [57]

    K. N. Huang, M. Aoyagi, M. H. Chenet al., At. Data. Nucl. Data Tables18, 243 (1976)

  • [58]

    C. Qi, R. Liotta, and R. Wyss, Prog. Part. Nucl. Phys.105, 214 (2019)

  • [59]

    P. Möller, J. R. Nix, and W. D. Myers, W. J. Swiatecki, At. Data Nucl. Data Tables59, 185 (1995)

  • [60]

    O. A. P. Tavares and E. L. Medeiros, Eur. Phys. J. A54, 65 (2018)

  • [61]

    F. G. Kondev, M. Wang, W. J. Huanget al., Chin. Phys. C45, 030001 (2021)

  • [62]

    M. Ismail, A. Y. Ellithi, M. M. Selimet al., J. Phys. G: Nucl. Part. Phys.47, 055105 (2020)

  • [63]

    L. Hulthen, Ark. Mat. Astron. Fys. A28, 52 (1942)

  • [64]

    R. Budaca and A. I. Budaca, Chin, Phys. C44, 124102 (2020)

  • [65]

    J. H. Cheng, J. L. Chen, J. G. Denget al., Nucl. Phys. A987, 350 (2019)

  • [66]

    S. B. Duarte and M. G. Goncalves, Phys. Rev. C53, 2309 (1996)

  • [67]

    D. N. Poenaru, M. Ivascu, A. Sndulescuet al., Phys. Rev. C32, 572 (1985)

  • [68]

    K. P. Santhosh and B. Priyanka, Eur. Phys. J. A49, 66 (2013)

  • [69]

    K. P. Santhosh, R. K. Biju, and A. Joseph, J. Phys. G: Nucl. Part. Phys.35, 085102 (2008)

  • [70]

    D. D. Ni and Z. Z. Ren, Phys. Rev. C82, 024311 (2010)

  • [71]

    F. Saidi, M. R. Oudih, M. Fellahet al., Mod. Phys. Lett. A30, 1550150 (2015)

  • [72]

    N. S. Rajeswari, C. Nivetha, and M. Balasubramaniam, Eur. Phys. J. A54, 1 (2018)

  • [73]

    M. Ismail, A. Y. Ellithi, M. M. Selimet al., Phys. Scr.95, 075303 (2020)

Baidu
map