\begin{document}$ (T_9, n_n) $\end{document} plane. We define a heavy-region condition band near \begin{document}$ N \approx 184 $\end{document} and construct an equilibrium path band based on the effective neutron separation energy \begin{document}$ S_n^{0}(T_9, n_n) $\end{document}. We then compare the lifetimes of neutron-induced fission and β-decay for nuclei with \begin{document}$ 94 \leqslant Z \leqslant 106 $\end{document}. Within this framework, we construct a continuous map of actinide nuclei along the equilibrium path band, identifying where neutron-induced fission first overtakes β-decay. We find that, with increasing temperature and neutron density, the onset shifts toward nuclei with lower proton number (Z) and smaller mass number (A), transitioning from the Es-Cf region to the Am region. These results provide a quantitative benchmark for identifying the conditions under which fission cycling occurs in heavy r-process environments."> Determination of the fission-cycling onset in the r-process -
  • [1]

    E. M. Burbidge, G. R. Burbidge, W. A. Fowleret al., Rev. Mod. Phys.29(4), 547 (1957)

  • [2]

    J. J. Cowan, F.-K. Thielemann and J. W. Truran, Physics Reports208(4), 267 (1991)

  • [3]

    J. J. Cowan, C. Sneden, J. E. Lawleret al., Rev. Mod. Phys.93(1), 015002 (2021)

  • [4]

    M. Arnould, S. Goriely and K. Takahashi, Phys. Rep.450(4-6), 97 (2007)

  • [5]

    I. V. Panov, E. Kolbe, B. Pfeifferet al., Nucl.Phys. A747(2), 633 (2005)

  • [6]

    S. Goriely, J.-L. Sida, J.-F. Lemaîtreet al., Phys. Rev. Lett.111(24), 242502 (2013)

  • [7]

    M. R. Mumpower, R. Surman, G. C. McLaughlinet al., Prog. Part. Nucl. Phys.86, 86 (2016)

  • [8]

    J. Beun, G. C. McLaughlin, R. Surmanet al., Phys. Rev. C77(3), 035804 (2008)

  • [9]

    O. Korobkin, S. Rosswog, A. Arconeset al., Mon. Not. R. Astron. Soc.426(3), 1940 (2012)

  • [10]

    M. Eichler, A. Arcones, A. Kelicet al., Astrophys. J.808(1), 30 (2015)

  • [11]

    S. Goriely, The European Physical Journal A51(2), 22 (2015)

  • [12]

    I. V. Panov, I. Y. Korneev, T. Rauscheret al., Astron. Astrophys.513, A61 (2010)

  • [13]

    J. Erler, N. Birge, M. Kortelainenet al., Nature486(7404), 509 (2012)

  • [14]

    N. Schunck and L. M. Robledo, Rep. Prog. Phys.79(11), 116301 (2016)

  • [15]

    W.-P. Liu, B. Guo, Z. Anet al., Nucl. Sci. Tech.35(12), 217 (2024)

  • [16]

    C. Freiburghaus, S. Rosswog and F.-K. Thielemann, Astrophys. J.525, L121 (1999)

  • [17]

    S. Wanajo, Y. Sekiguchi, N. Nishimuraet al., Astrophys. J. Lett.789(2), L39 (2014)

  • [18]

    J. D. J. Mendoza-Temis, M.-R. Wu, K. Langankeet al., Phys. Rev. C92(5), 055805 (2015)

  • [19]

    J. Lippuner and L. F. Roberts, Astrophys. J.815(2), 82 (2015)

  • [20]

    I. Petermann, K. Langanke, G. Martinez-Pinedoet al., Phys. Rev. C81, 014308 (2010)

  • [21]

    T. Kodama and K. Takahashi, Nucl.Phys. A239, 489 (1975)

  • [22]

    S. Goriely and M. Arnould, Astron. Astrophys.312, 327 (1996)

  • [23]

    P. Möller, W. D. Myers, H. Sagawaet al., Phys. Rev. Lett.108(5), 052501 (2012)

  • [24]

    P. Möller, A. J. Sierk, T. Ichikawaet al., At. Data Nucl. Data Tables109-110, 1 (2016)

  • [25]

    A. Koning, S. Hilaire and S. Goriely, The European Physical Journal A59(6), 131 (2023)

  • [26]

    T. Marketin, L. Huther and G. Martínez-Pinedo, Phys. Rev. C93(2), 025805 (2016).

  • [27]

    X. D. Xu, B. Sun, Z. M. Niuet al., Phys. Rev. C87(1), 015805 (2013)

  • [28]

    W. Hillebrandt, F. K. Thielemann, H. V. Klapdoret al., Astron. Astrophys.99, 195 (1981)

  • [29]

    S. Goriely, N. Chamel and J. M. Pearson, Phys. Rev. C88(6), 061302 (2013)

  • [30]

    J. J. Li, W. H. Long, J. Margueronet al., Phys. Lett. B732, 169 (2014)

  • [31]

    Q. Mo, M. Liu, and N. Wang, Phys. Rev. C90(2), 024320 (2014)

  • [32]

    N. Wang, M. Liu, X. Wuet al., Phys. Rev. C93(1), 014302 (2016)

  • [33]

    F.-K. Thielemann, A. Arcones, R. Käppeliet al., Prog. Part. Nucl.Phys.66, 346 (2011)

  • [34]

    T. Kajino, W. Aoki, A. Balantekinet al. Prog. Part. Nucl. Phys.107, 109 (2019)

  • [35]

    S. A. Giuliani, G. Martínez-Pinedo, M.-R. Wuet al., Phys. Rev. C102(4), 045804 (2020)

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