\begin{document}$ Z=N $\end{document}. We consider several versions of NDs available in literature and construct our own approximation for the ND of the even-even spherical nuclei 12C, 16O, and 40Ca, abbreviated as FE-density (Fermi+exponential). We carefully compare the NCDs resulting from different versions of NDs with the experimental NCDs. After finding the nucleus-nucleus potential using the double-folding model with the density dependent M3Y-Paris NN-forces and FE densities, we evaluate the above-barrier fusion cross sections for five reactions, 12C+12C, 12C+16O, 16O+16O, 16O+40Ca, and 40Ca+40Ca, for which experimental data are available. The cross sections are calculated using two approaches: a) the barrier penetration model and b) the trajectory model with surface friction (TM). To find the transmission coefficients for the TM, the Langevin equations are employed. For all considered reactions, our TM typically reproduces the above-barrier experimental cross sections within 10−15%. The only adjustable parameter of the model, the optimal friction strength \begin{document}$ {K}_{Rm} $\end{document}, is found to be approximately 90 \begin{document}$\mathrm{z}\mathrm{s}\cdot {\mathrm{G}\mathrm{e}\mathrm{V}}^{-1}$\end{document}for the light reactions 12C+12C, 12C+16O, and 16O+16O and approximately 15 \begin{document}$\mathrm{z}\mathrm{s}\cdot {\mathrm{G}\mathrm{e}\mathrm{V}}^{-1}$\end{document}for the heavy reactions 16O+40Ca and 40Ca+40Ca. The latter findings are in reasonable agreement with the systematics found previously. Thus, the FE-recipe allows highly accurate and simultaneous reproduction of both the nuclear charge density and above-barrier fusion cross sections of five reactions involving 12C, 16O, and 40Ca nuclei."> Experimental nuclear charge density and theoretical description of the above-barrier light heavy-ion fusion process -
  • [1]

    A. S. Umar and V. E. Oberacker, Phys. Rev. C73, 054607 (2006)

  • [2]

    P.-G. Reinhard, A. S. Umar, P. D. Stevenson, Phys. Rev. C93, 044618 (2016)

  • [3]

    C. Simenel and A. S. Umar, Prog Part Nucl Phys.103, 19 (2018)

  • [4]

    G. Scamps and D. Lacroix, EPJ Web Conf86, 00042 (2015)

  • [5]

    V. V. Sargsyan, S. Yu. Grigoryev, G. G. Adamianet al., Comp. Phys. Commun.233, 145 (2018)

  • [6]

    Yu. V. Palchikov, Z. Kanokov, G. G. Adamianet al., Phys. Rev. E71, 016122 (2005)

  • [7]

    R. A. Kuzyakin, V. V. Sargsyan, G. G. Adamianet al., Phys. Elem. Part. At. Nucl. ,48, 21 (2017)

  • [8]

    G. G. Adamian, N. V. Antonenko, R. V. Joloset al., Int. J. Mod. Phys. E5, 191 (1996)

  • [9]

    M. Dasgupta, A. Navin, Y. K. Agarwalet al., Nucl Phys. A539, 351 (1992)

  • [10]

    K. Hagino, N. Rowley, and A. T. Kruppa, Comp. Phys. Commun.123, 143 (1999)

  • [11]

    V. I. Zagrebaev and V. V. Samarin, Physics of Atomic Nuclei67, 1462 (2004)

  • [12]

    M. Dasgupta, D. J. Hinde, N. Rowleyet al., Ann. Rev. Nucl. Part. Sci.48, 401 (1998)

  • [13]

    I. I. Gontchar, R. Bhattacharya, and M. V. Chushnyakova, Phys. Rev. C89, 034601 (2014)

  • [14]

    M. V. Chushnyakova, R. Bhattacharya, and I. I. Gontchar, Phys. Rev. C90, 017603 (2014)

  • [15]

    M. V. Chushnyakova, I. I. Gontchar, and N. A. Khmyrova, Journal of Physics G:Nuclear and Particle Physics48, 015101 (2021)

  • [16]

    M. V. Chushnyakova, M. Bhuyan, I. I. Gontcharet al., Nucl. Phys. A994, 121657 (2020)

  • [17]

    I. I. Gontchar and M. V. Chushnyakova, Journal of Physics G: Nuclear and Particle Physics43, 045111 (2016)

  • [18]

    V. Zagrebaev, A. Karpov, Y. Aritomoet al., Physics of Particles and Nuclei38, 469 (2007)

  • [19]

    R. A. Kuzyakin, V. V. Sargsyan, G. G. Adamianet al., Phys. Rev. C85, 034612 (2012)

  • [20]

    G. R. Satchler and W. G. Love, Phys. Rep.55, 183 (1979)

  • [21]

    D. T. Khoa, Phys. Rev. C63, 034007 (2001)

  • [22]

    I. I. Gontchar and M. V. Chushnyakova, Physics of Atomic Nuclei79, 543 (2016)

  • [23]

    S. Abrahamyanet al. (PREX Collaboration), Phys. Rev. Lett108, 112502 (2012)

  • [24]

    J. Yang, J. A. Hernandez, and J. Piekarewicz, Phys. Rev. C100, 054301 (2019)

  • [25]

    R. Hofstadter, F. Bumiller, and M. R. Yearian, Rev. Mod Phys.30, 482 (1958)

  • [26]

    H. de Vries, C. W. de Jager, and C. de Vries, At. Data Nucl. Data Tables36, 495 (1987)

  • [27]

    I. Angeli, At. Data Nucl. Data Tables87, 185 (2004)

  • [28]

    V. Yu. Denisov, N. A. Pilipenko, Fusion of deformed nuclei:12C+12C, Phys. Rev. C81, 025805 (2010)

  • [29]

    M. Yasue, T. Tanabe, F. Sogaet al., Nucl. Phys. A394, 29 (1983)

  • [30]

    Ahmed Hammad Amer, Zakaria M. M. Mahmoud, Yu. E., Nucl. Phys. A1020, 122398 (2022)

  • [31]

    D. T. Khoa, G. R. Satchler, and W. von Oertzen, Phys. Rev. C56, 954 (1997)

  • [32]

    J. O. Newton, R. D. Butt, M. Dasguptaet al., Phys. Rev. C70, 024605 (2004)

  • [33]

    Z. Łojewski, B. Nerlo-Pomorska, K. Pomorskiet al., Phys. Rev. C51, 601 (1995)

  • [34]

    J.-L. Basdevant, J. Rich, and M. Spiro,Fundamentals in Nuclear Physics: From Nuclear Structure to Cosmology(Springer Science & Business Media, 2005)

  • [35]

    R. Pohlet al., The Size of the Proton, Nature466, 213 (2010)

  • [36]

    N. Bezginov, T. Valdez, M. Horbatschet al., Science365-1007 (1979)

  • [37]

    R. Capote, M. Herman, P. Obložinskýet al., Nucl. Data Sheets110, 3107 (2009)

  • [38]

    I. I. Gontchar, D. J. Hinde, M. Dasguptaet al., Phys. Rev. C69, 024610 (2004)

  • [39]

    P. Fröbrich and R. Lipperheide,Theory of Nuclear Reactions(Clarendon Press, Oxford, 1996).

  • [40]

    J. J. Kolata, R. M. Freeman, F. Haaset al., Phys. Rev. C21, 579 (1980)

  • [41]

    D. G. Kovar, D. F. Geesaman, T. H. Braidet al., Phys. Rev. C20, 1305 (1979)

  • [42]

    M. N. Namboodiri, E. T. Chulick, and J. B. Natowitz, The Fusion of 12C with 12C at Projectile Energies from 45 to 197 MeV, Nuclear Physics, Section A263, (1976).

  • [43]

    P. Sperr, T. H. Braid, Y. Eisenet al., Phys. Rev. Lett37, 321 (1976)

  • [44]

    J. J. Kolata, R. M. Freeman, F. Haaset al., Phys. Rev. C19, 2237 (1979)

  • [45]

    Y. Nagashima, J. Schimizu, T. Nakagawaet al., Phys. Rev. C33, 176 (1986)

  • [46]

    S. E. Vigdor, D. G. Kovar, P. Sperret al., Phys. Rev. C20, 2147 (1979)

  • [47]

    H. A. Aljuwair, R. J. Ledoux, M. Beckermanet al., Phys. Rev. C30, 1223 (1984)

  • [48]

    H. Doubre, A. Camp, J. C. Jacmartet al., Phys. Lett. B73, 135 (1978)

  • [49]

    M. V. Chushnyakova and I. I. Gontchar, Phys. Rev. C87, 014614 (2013)

  • [50]

    P. Fröbrich, Phys. Rep.116, 337 (1984)

  • [51]

    K. Wen, F. Sakata, Z.-X. Liet al., Phys. Rev. Lett.111, 012501 (2013)

  • [52]

    D. H. E. Gross and H. Kalinowski, Phys. Rep.45, 175 (1978)

  • [53]

    A. E. Gegechkori, Y. A. Anischenko, P. N. Nadtochyet al., Physics of Atomic Nuclei71, 2007 (2008)

  • [54]

    M. V. Chushnyakova and I. I. Gontchar, Journal of Physics G40, 095108 (2013)

  • [55]

    L. J. Satkowiak, P. A. DeYoung, J. J. Kolataet al., Phys. Rev. C26, 2027 (1982)

  • [56]

    M. Conjeaud, S. Gary, S. Hararet al., Nucl. Phys. A309, 515 (1978)

  • [57]

    E. F. Aguileraet al., Phys. Rev. C73, 064601 (2006)

  • [58]

    B. Dasmahapatra, B. Čujec, and F. Lahlou, Nuclear Physics, Section A384(1982)

  • [59]

    M. D. High and B. Čujec, Nucl Phys. A282, 181 (1977)

  • [60]

    R. L. Parks, S. T. Thornton, L. C. Denniset al., Nucl Phys. A348(1980)

  • [61]

    V. I. Zagrebaev, A. S. Denikin, A. V. Karpovet al., Nuclear Instruments and Methods in Physics Research859, 112 (2017)

  • [62]

    J. J. Kolata, R. C. Fuller, R. M. Freemanet al., Phys. Rev. C16, 891 (1977)

  • [63]

    M. V. Chushnyakova and I. I. Gontchar, Pramana85, 653 (2015)

  • [64]

    D. F. Geesaman, C. N. Davids, W. Henninget al., Phys. Rev. C18, 284 (1978)

  • [65]

    G. Montagnoli, A. M. Stefanini, C. L. Jianget al., Phys. Rev. C85, 024607 (2012)

  • [66]

    E. Tomasi, D. Ardouin, J. Barretoet al., Nucl. Phys. A373, 341 (1982)

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