\begin{document}$ ^{28} $\end{document}Si, \begin{document}$ ^{50} $\end{document}Cr, and \begin{document}$ ^{132} $\end{document}Xe, whose experimental \begin{document}$ R_{4/2} $\end{document} values are 2.60, 2.40, and 2.16, respectively, using the nucleon-pair approximation (NPA) and shell-model effective interactions. For each yrast state, we consider optimized pair structures to be those providing the energy minimum for this state. To find the minimum, many full NPA calculations are performed with varying pair structures, and the numerical optimization procedure of the conjugate gradient method is implemented. Our results suggest that optimized pair structures remain the same for all states within a rotational band of a deformed nucleus. Our results also suggest that after backbending, that is, changing of the intrinsic state, the structure of the S pair, which is essential to build the monopole pairing correlation, remains approximately unchanged, whereas the structures of the non-S pairs, which are essential to build the quadrupole correlation, change significantly."> Robustness of pair structures for nuclear yrast states -
  • [1]

    E. Caurier, G. Martínez-Pinedo, F. Nowackiet al., Rev. Mod. Phys.77, 427 (2005)

  • [2]

    G. Martínez-Pinedo, A. Poves, L. M. Robledoet al., Phys. Rev. C54, R2150 (1996)

  • [3]

    E. Caurier, F. Nowacki, A. Poveset al., Phys. Rev. C82, 064304 (2010)

  • [4]

    C. Qi, Phys. Rev. C94, 034310 (2016)

  • [5]

    A. Vogt, M. Siciliano, B. Birkenbachet al., Phys. Rev. C96, 024321 (2017)

  • [6]

    E. E. Peters, A. E. Stuchbery, A. Chakrabortyet al., Phys. Rev. C99, 064321 (2019)

  • [7]

    M. A. Caprio, P. Maris, and J. P. Vary, Phys. Lett. B719, 179 (2013)

  • [8]

    T. Dytrych, K. D. Launey, J. P. Draayeret al., Phys. Rev. Lett.111, 252501 (2013)

  • [9]

    A. E. McCoy, M. A. Caprio, T. Dytrychet al., Phys. Rev. Lett.125, 102505 (2020)

  • [10]

    D. J. Dean and M. Hjorth-Jensen, Rev. Mod. Phys.75, 607 (2003)

  • [11]

    Y. M. Zhao and A. Arima, Phys. Rep.545, 1 (2014)

  • [12]

    J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev.106, 162 (1957)

  • [13]

    J. Bardeen, L. N. Cooper, and J. R. Schrieffer, Phys. Rev.108, 1175 (1957)

  • [14]

    A. Bohr, B. R. Mottelson, and D. Pines, Phys. Rev.110, 936 (1958)

  • [15]

    S. T. Belyaev, Mat. Fys. Medd. Dan. Vid. Selsk.31, 11 (1959)

  • [16]

    A. B. Migdal, Nucl. Phys.13, 655 (1959)

  • [17]

    I. Talmi, Nucl. Phys.172, 1 (1971)

  • [18]

    S. Shlomo and I. Talmi, Nucl. Phys. A198, 81 (1972)

  • [19]

    A. Arima and F. Iachello, Phys. Rev. Lett.35, 1069 (1975)

  • [20]

    A. Arima and F. Iachello, Ann. Phys.99, 253 (1976)

  • [21]

    A. Arima and F. Iachello, Ann. Phys.111, 201 (1978)

  • [22]

    A. Arima and F. Iachello, Ann. Phys.123, 468 (1979)

  • [23]

    A. Arima and F. Iachello, Adv. Nucl. Phys.13, 139 (1984)

  • [24]

    J. Q. Chen, Nucl. Phys. A626, 686 (1997)

  • [25]

    Y. M. Zhao, N. Yoshinaga, S. Yamajiet al., Phys. Rev. C62, 014304 (2000)

  • [26]

    J. Q. Chen, B. Q. Chen, and A. Klein, Nucl. Phys. A554, 61 (1993)

  • [27]

    J. Q. Chen, Nucl. Phys. A562, 218 (1993)

  • [28]

    Y. M. Zhao, S. Yamaji, N. Yoshinagaet al., Phys. Rev. C62, 014315 (2000)

  • [29]

    Y. A. Luo, F. Pan, C. Bahriet al., Phys. Rev. C71, 044304 (2005)

  • [30]

    Y. Lei, Z. Y. Xu, Y. M. Zhaoet al., Phys. Rev. C82, 034303 (2010)

  • [31]

    Y. Lei, Y. M. Zhao, and A. Arima, Phys. Rev. C84, 044301 (2011)

  • [32]

    Y. Y. Cheng, Y. M. Zhao, and A. Arima, Phys. Rev. C94, 024307 (2016)

  • [33]

    Y. Y. Cheng, C. Qi, Y. M. Zhaoet al., Phys. Rev. C94, 024321 (2016)

  • [34]

    Y. Y. Cheng, H. Wang, J. J. Shenet al., Phys. Rev. C100, 024321 (2019)

  • [35]

    G. J. Fu and C. W. Johnson, Phys. Lett. B809, 135705 (2020)

  • [36]

    G. J. Fu and C. W. Johnson, Phys. Rev. C104, 024312 (2021)

  • [37]

    Y. Lei, H. Jiang, and S. Pittel, Phys. Rev. C102, 024310 (2020)

  • [38]

    Y. Lu, Y. Lei, C. W. Johnsonet al., Phys. Rev. C105, 034317 (2022)

  • [39]

    G. J. Fu, C. W. Johnson, P. Van Isacker, and Z. Z. Ren, Phys. Rev. C103, L021302 (2021)

  • [40]

    R. Fletcher and C. M. Reeves, Comput. J.7, 149 (1964)

  • [41]

    B. A. Brown and W. A. Richter, Phys. Rev. C74, 034315 (2006)

  • [42]

    A. Poves, J. Sánchez-Solano, E. Caurieret al., Nucl. Phys. A694, 157 (2001)

  • [43]

    http://www.nndc.bnl.gov/ensdf/

  • [44]

    D. J. Rowe,Nuclear Collective Motion: Models and Theory(World Scientific, Singapore, 2010)

  • [45]

    J. P. Elliott, Proc. R. Soc. A245, 128 (1958)

  • [46]

    J. P. Elliott, Proc. R. Soc. A245, 562 (1958)

  • [47]

    Y. M. Zhao, N. Yoshinaga, S. Yamajiet al., Phys. Rev. C62, 014316 (2000)

  • [48]

    A. Poves and A. Zuker, Phys. Rep.70, 235 (1981)

  • [49]

    T. T. S. Kuo and G. E. Brown, Nucl. Phys. A114, 241 (1968)

  • [50]

    C. Qi and Z. X. Xu, Phys. Rev. C86, 044323 (2012)

  • [51]

    M. Hjorth-Jensen, T. T. S. Kuo, and E. Osnes, Phys. Rep.261, 125 (1995)

  • [52]

    R. Machleidt, Phys. Rev. C63, 024001 (2001)

  • [53]

    B. A. Brown, N. J. Stone, J. R. Stoneet al., Phys. Rev. C71, 044317 (2005)

  • [54]

    K. Higashiyama, N. Yoshinaga, and K. Tanabe, Phys. Rev. C67, 044305 (2003)

  • [55]

    Y. Y. Cheng, Y. Lei, Y. M. Zhaoet al., Phys. Rev. C92, 064320 (2015)

  • [56]

    Y. Bao, Y. Y. Cheng, and X. R. Zhou, Phys. Rev. C104, 034312 (2021)

  • [57]

    B. C. He, H. T. Xue, L. Liet al., Phys. Rev. C101, 014324 (2020)

  • [58]

    H. Jiang, Y. J. Zhou, Y. Leiet al., Chin. Phys. C45, 094103 (2021)

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