\begin{document}$\beta_2^{\pm}$\end{document} deformation. However, existing literature highlights the importance of the octupole \begin{document}$\beta_3^{\pm}$\end{document} and hexadecapole \begin{document}$\beta_4^{\pm}$\end{document} deformations associated with both the projectile and target nuclei. However, the collective influence of these deformations (\begin{document}$\beta_2$\end{document}, \begin{document}$\beta_3$\end{document}, and \begin{document}$\beta_4$\end{document}) on the fusion reaction dynamics has not been examined explicitly. In this study, we investigated the collective influence of higher-order deformations up to \begin{document}$\beta_4$\end{document} on the barrier characteristics, in particular \begin{document}$V_B$\end{document}, \begin{document}$R_B$\end{document}, and \begin{document}$\hbar\omega$\end{document}, and their impact on the fusion cross-sections of heavy-ion induced reactions in the mass range \begin{document}$163\leq{ {A}}\leq182$\end{document}. The reactions were examined at both compact and elongated configurations of the deformed nuclei. Heavy ion-induced reactions, which consist of target nuclei with higher-order deformations up to \begin{document}$\beta_4$\end{document}, reveal a notable alteration in the barrier characteristics \begin{document}$V_B$\end{document} and \begin{document}$R_B$\end{document}, along with a significant change in orientation \begin{document}$\theta_i$\end{document} for both compact and elongated configurations. In addition, the incorporation of deformations up to \begin{document}$\beta_4$\end{document} and their corresponding orientations \begin{document}$\theta_i$\end{document} contributes to enhanced capture cross-sections \begin{document}$\sigma_{cap}$\end{document} as well as integrated cross-sections \begin{document}$\sigma_{int.}$\end{document}, resulting in better agreement with experimental data for \begin{document}$^{16}{\rm{O}}$\end{document}-induced reactions with \begin{document}$^{148}{\rm{Nd}}$\end{document}, \begin{document}$^{149-150}{\rm{Sm}}$\end{document}, and \begin{document}$^{32}{\rm{S}}$\end{document}-induced reactions with \begin{document}$^{150}{\rm{Sm}}$\end{document}. We conclude that the incorporation of deformations of all orders up to \begin{document}$\beta_4$\end{document} at their optimized compact and elongated configurations is essential because it provides better outcomes compared to the optimized configurations of \begin{document}$\beta_2$\end{document} and \begin{document}$\beta_3$\end{document} deformed nuclei."> Collective impact of higher-order deformations of target nuclei on the fusion dynamics of heavy-ion induced reactions -
  • [1]

    K. Lee and D. R. Inglis, Phys. Rev.108, 774 (1957)

  • [2]

    E. Marshalek, L. W. Person, and R. K. Sheline, Rev. Mod. Phys.35, 108 (1963)

  • [3]

    W. Nazarewicz and I. Ragnarsson, Handbook on Nuclear Properties, (Clarendon Press, Oxford, 80, 1996)

  • [4]

    R. Bengtsson, P. Möller, J. R. Nixet al., Phys. Scr.29, 402 (1984)

  • [5]

    D. J. Moses, M. Kaplan, G. La Ranaet al., Phys. Rev. C36, 422 (1987)

  • [6]

    H. Ikezoe, S. Mitsuoka, K. Nishioet al., JNRS3, 39 (2002)

  • [7]

    S. Mitsuoka, H. Ikezoe, K. Nishioet al., Phys. Rev. C65, 054608 (2002)

  • [8]

    R. G. Stokstad, Y. Eisen, S. Kaplaniset al., Phys. Rev. Lett.41, 465 (1978)

  • [9]

    W. D. Myers and W. J. Swiatecki, Nucl. Phys.81, 1 (1966)

  • [10]

    V. Strutinsky, Nucl. Phys. A95, 420 (1967)

  • [11]

    V. V. Sargsyan, G. G. Adamian, N. V. Antonenkoet al., Phys. Rev. C85, 037602 (2012)

  • [12]

    V. V. Sargsyan, G. G. Adamian, N. V. Antonenkoet al., Phys. Rev. C84, 064614 (2011)

  • [13]

    K. Nishio, H. Ikezoe, S. Mitsuokaet al., Phys. Rev. C63, 044610 (2001)

  • [14]

    M. Kaur, M. K. Sharma, and R. K. Gupta, Phys. Rev. C86, 064610 (2012)

  • [15]

    G. Giacalone, J. Jia, and C. Zhang, Phys. Rev. Lett.127, 242301 (2021)

  • [16]

    Q. Li, W. Zuo, W. Liet al., Eur. Phys. J. A24, 223 (2005)

  • [17]

    H. C. Manjunatha, P. S. Damodara Gupta, N. Sowmyaet al., Phys. Rev. C104, 024622 (2021)

  • [18]

    H. C. Manjunatha, N. Sowmya, N. Manjunathaet al., Phys. Rev. C102, 064605 (2020)

  • [19]

    K. Sandhu and M. Sharma, Braz. J. Phys.44, 64 (2014)

  • [20]

    R. K. Gupta,Collective clusterization in nuclei and excited compound systems: The dynamical cluster-decay model, in Clusters in Nuclei: Volume 1 (2010) pp. 223– 265

  • [21]

    H. Manjunatha, N. Sowmya, R. Munirathnamet al., Nucl. Phys. A1032, 122621 (2023)

  • [22]

    J. Kaur, A. Kaur, M. S. Gautamet al., Phys. Rev. C106, 034615 (2022)

  • [23]

    N. Davidson, S. Hsiao, J. Markramet al., Nucl. Phys. A570, 61 (1994)

  • [24]

    S. Rani and P. Singh, Nucl. Phys. A1036, 122669 (2023)

  • [25]

    Vijay, R. P. Chahal, M. S. Gautam, S. Duhanet al., Phys. Rev. C103, 024607 (2021)

  • [26]

    G. Royer and J. Mignen, J. Phys. G: Nucl. Part. Phys.18, 1781 (1992)

  • [27]

    V. Y. Denisov and S. Hofmann, Phys. Rev. C61, 034606 (2000)

  • [28]

    G. L. Zhang, X. X. Liu, and C. J. Lin, Phys. Rev. C89, 054602 (2014)

  • [29]

    R. K. Gupta, M. Manhas, and W. Greiner, Phys. Rev. C73, 054307 (2006)

  • [30]

    B. Wang, W. Zhao, E. Zhaoet al., Sci. China Phys. Mech. Astron.59, 1 (2016)

  • [31]

    V. Y. Denisov and N. A. Pilipenko, Phys. Rev. C76, 014602 (2007)

  • [32]

    M. Ismail and I. Abdul-Magead, Nucl. Phys. A888, 34 (2012)

  • [33]

    D. Jain, R. Kumar, and M. K. Sharma, Nucl. Phys. A915, 106 (2013)

  • [34]

    M. Ismail, A. Ellithi, M. Botroset al., Canadian Journal of Physics92, 1411 (2014)

  • [35]

    K. Hagino, Phys. Rev. C98, 014607 (2018)

  • [36]

    T. Rajbongshi and K. Kalita, Centr. Eur. J. Phys.12, 433 (2014)

  • [37]

    R. K. Gupta, Niyti, M. Manhas, S. Hofmannet al., Int. J. Mod. Phys. E18, 601 (2009)

  • [38]

    G. Kaur, K. Sandhu, and M. K. Sharma, Nucl. Phys. A971, 95 (2018)

  • [39]

    M. Manhas and R. K. Gupta, Phys. Rev. C72, 024606 (2005)

  • [40]

    S. Jain, M. K. Sharma, and R. Kumar, Chin. Phys. C46, 014102 (2022)

  • [41]

    S. Jain, M. K. Sharma, and R. Kumar, Phys. Rev. C101, 051601 (2020)

  • [42]

    R. Kumar, J. A. Lay, and A. Vitturi, Phys. Rev. C92, 054604 (2015)

  • [43]

    M. Ismail, W. Seif, and M. Botros, Nucl. Phys. A828, 333 (2009)

  • [44]

    R. K. Gupta, N. Singh, and M. Manhas, Phys. Rev. C70, 034608 (2004)

  • [45]

    C. R. Morton, A. C. Berriman, R. D. Buttet al., Phys. Rev. C64, 034604 (2001)

  • [46]

    M. Y. M. Hassan, M. Y. H. Farag, A. Y. Abul-Magdet al., Phys. Scr.78, 045202 (2008)

  • [47]

    X. J. Bao, S. Q. Guo, H. F. Zhanget al., J. Phys. G: Nucl. Part. Phys.43, 125105 (2016)

  • [48]

    M. Ismail, M. M. Osman, H. El Gebalyet al., Mod. Phys. Lett. A18, 57 (2003)

  • [49]

    J. R. Leigh, N. Rowleyet al., Phys. Rev. C47, R437 (1993)

  • [50]

    J. R. Leigh, M. Dasguptaet al., Phys. Rev. C52, 3151 (1995)

  • [51]

    J. O. Fernández Niello, M. di Tadaet al., Phys. Rev. C43, 2303 (1991)

  • [52]

    M. Dasgupta, D. J. Hindeet al., Annu. Rev. Nucl. Part. Sci.48, 401 (1998)

  • [53]

    K. Hagino, N. Takigawaet al., Prog. Theor. Phys.128, 1061 (2012)

  • [54]

    H. Sharma, S. Jain, R. Kumaret al., Eur. Phys. J. A59, 71 (2023)

  • [55]

    H. Sharma, S. Jain, R. Kumaret al., Phys. Rev. C108, 044613 (2023)

  • [56]

    A. Bohr, Dan. Mat. Fys. Medd.26, 14 (1952)

  • [57]

    A. N. Bohr and B. R. Mottelson, Dan. Mat. Fys. Medd.27, 1 (1953)

  • [58]

    D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii,Quantum Theory of Angular Momentum(World Scientific, 1988)

  • [59]

    P. Möller, A. Sierk, T. Ichikawaet al., Atomic Data and Nuclear Data Tables109-110, 1 (2016)

  • [60]

    J. Błocki, J. Randrup, W. Swiateckiet al., Ann. of Phys.105, 427 (1977)

  • [61]

    C. Y. Wong, Phys. Rev. Lett.31, 766 (1973)

  • [62]

    K. Alder and A. Winther, Nucl. Phys. A132, 1 (1969)

  • [63]

    K. Sandhu, M. K. Sharma, and R. K. Gupta, Phys. Rev. C85, 024604 (2012)

  • [64]

    W. Scobel, H. H. Gutbrod, M. Blannet al., Phys. Rev. C14, 1808 (1976)

  • [65]

    J. Wilczyński, Nucl. Phys. A216, 386 (1973)

  • [66]

    N. V. Antonenko, G. G. Adamian, W. Scheidet al., Il Nuovo Cimento A110, 1143 (1997)

  • [67]

    M. Beckerman, J. Ball, H. Engeet al., Phys. Rev. C23, 1581 (1981)

  • [68]

    D. L. Hill and J. A. Wheeler, Phys. Rev.89, 1102 (1953)

  • [69]

    R. Kumar, M. Bansal, S. K. Arunet al., Phys. Rev. C80, 034618 (2009)

  • [70]

    D. E. DiGregorio, M. diTada, D. Abriolaet al., Phys. Rev. C39, 516 (1989)

  • [71]

    B. G. Glagola, B. B. Back, and R. R. Betts, Phys. Rev. C29, 486 (1984)

  • [72]

    R. Broda, M. Ishihara, B. Herskindet al., Nucl. Phys. A248, 356 (1975)

Baidu
map