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A New Algorithm for Calculating Proton, Neutron, and Charge Densities in Nuclei: Comparisons to Experimental Data

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

Nucleon density is a fundamental quantity in nuclear physics. It is an important ingredient of the double folding model when calculating fusion cross sections of nuclei. A simplified way of calculating this density using the microscopic densities of six benchmark nuclei is proposed. In contrast to microscopic calculations, the proposed procedure is not time-consuming and can be easily used by experimentalists.

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REFERENCES

  1. Berriman, A.C., Hinde, D.J., Dasgupta, M., et al., Nature, 2001, vol. 413, p. 144.

    Article  ADS  Google Scholar 

  2. Dasgupta, M., Hinde, D.J., Rowley, N., and Stefanini, A.M., Annu. Rev. Nucl. Part. Sci., 1998, vol. 48, p. 401.

    Article  ADS  Google Scholar 

  3. Kuzyakin, R.A., Sargsyan, V.V., Adamyan, G.G., and Antonenko, N.V., Phys. Part. Nucl., 2017, vol. 48, p. 158.

    Article  Google Scholar 

  4. Hudan, S. Umar, A.S., et al., Phys. Rev. C, 2020, vol. 101, 061601.

    Article  ADS  Google Scholar 

  5. Montagnoli, G., Stefanini, A.M., Jiang, C.L., et al., Phys. Rev. C, 2020, vol. 101, 044608.

    Article  ADS  Google Scholar 

  6. Frobrich, P. and Gontchar, I.I., Phys. Rep., 1998, vol. 292, p. 131.

    Article  ADS  Google Scholar 

  7. Schunck, N. and Robledo, L.M., Rep. Prog. Phys., 2016, vol. 79, 116301.

    Article  ADS  Google Scholar 

  8. Usang, M.D., Ivanyuk, F.A., Ishizuka, C., and Chiba, S., Phys. Rev. C, 2017, vol. 96, 064617.

    Article  ADS  Google Scholar 

  9. Schmitt, C., Mazurek, K., and Nadtochy, P.N., Phys. Rev. C, 2019, vol. 100, 064606.

    Article  ADS  Google Scholar 

  10. Hammerton, K., Morrissey, D.J., Kohley, Z., et al., Phys. Rev. C, 2019, vol. 99, 054621.

    Article  ADS  Google Scholar 

  11. Oganessian, Y.T. and Utyonkov, V.K., Rep. Prog. Phys., 2015, vol. 78, 036301.

    Article  ADS  Google Scholar 

  12. Armbruster, P. and Munzenberg, G., Eur. Phys. J., vol. 37, no. 2012, p. 237.

  13. Newton, J.O., Butt, R.D., Dasgupta, M., et al., Phys. Rev. C: Nucl. Phys., 2004, vol. 70, 024605.

    Article  ADS  Google Scholar 

  14. Yilmaz, B., Ayik, S., Lacroix, D., and Yilmaz, O., Phys. Rev. C: Nucl. Phys., 2015, vol. 90, 024613.

    Article  ADS  Google Scholar 

  15. Maruhn, J.A., Reinhard, P.-G., Stevenson, P.D., and Strayer, M.R., Phys. Rev. C: Nucl. Phys., 2006, vol. 74, 027601.

    Article  ADS  Google Scholar 

  16. Benrabia, K., Medjadi, D.E., Imadalou, M., and Quentin, P., Phys. Rev. C, 2017, vol. 96, 34320.

    Article  ADS  Google Scholar 

  17. Hagino, K., Rowley, N., and Kruppa, A.T., Comput. Phys. Commun., 1999, vol. 123, p. 143.

    Article  ADS  Google Scholar 

  18. Zagrebaev, V.I. and Samarin, V.V., Phys. At. Nucl., 2004, vol. 67, p. 1462.

    Article  Google Scholar 

  19. Jacobs, P.M. and Smilansky, U., Phys. Lett. B, 1983, vol. 127, p. 313.

    Article  ADS  Google Scholar 

  20. Chushnyakova, M.V. and Gontchar, I.I., J. Phys. G: Nucl. Part. Phys., 2013, vol. 40, 095108.

    Article  ADS  Google Scholar 

  21. Chushnyakova, M.V., Bhuyan, M., Gontchar, I.I., and Khmyrova, N.A., Nucl. Phys. A, 2020, vol. 994, 121657.

    Article  Google Scholar 

  22. Chushnyakova, M.V., Gontchar, I.I., and Khmyrova, N.A., J. Phys. G: Nucl. Part. Phys., 2021, vol. 48, 015101.

    Article  ADS  Google Scholar 

  23. Ismail, M. and Ramadan, K.A., J. Phys. G: Nucl. Part. Phys., 2000, vol. 26, p. 1621.

    Article  ADS  Google Scholar 

  24. Satchler, G.R. and Love, W.G., Phys. Rep., 1979, vol. 55, p. 183.

    Article  ADS  Google Scholar 

  25. Adamian, G.G., Antonenko, N.V., Jolos, R.V., et al., Int. J. Mod. Phys. E, 1996, vol. 5, p. 191.

    Article  ADS  Google Scholar 

  26. Khoa, D.T., Phys. Rev. C: Nucl. Phys., 2001, vol. 63, 034007.

    Article  ADS  Google Scholar 

  27. Zagrebaev, V.I., Karpov, A.V., Aritomo, Ya., et al., Phys. Part. Nucl., 2007, vol. 38, p. 469.

    Article  Google Scholar 

  28. De Vries, H., De Jager, C.W., and De Vries, C., At. Data Nucl. Data Tables, 1987, vol. 36, p. 495.

    Article  ADS  Google Scholar 

  29. Angeli, I., At. Data Nucl. Data Tables, 2004, vol. 87, p. 185.

    Article  ADS  Google Scholar 

  30. Cooper, T., Bertozzi, W., Heisenberg, J., et al., Phys. Rev. C: Nucl. Phys., 1976, vol. 13, p. 1083.

    Article  ADS  Google Scholar 

  31. Sakaguchi, H. and Zenihiro, J., Prog. Part. Nucl. Phys., 2017, vol. 97, p. 1.

    Article  ADS  Google Scholar 

  32. Terashima, S., Sakaguchi, H., Takeda, H., et al., Phys. Rev. C: Nucl. Phys., 2008, vol. 77, 024317.

    Article  ADS  Google Scholar 

  33. Miller, G.A., Phys. Rev. C, 2019, vol. 100, 044608.

    Article  ADS  Google Scholar 

  34. Negele, J.W., Rev. Mod. Phys., 1982, vol. 54, p. 913.

    Article  ADS  Google Scholar 

  35. Gontchar, I.I., Bhattacharya, R., and Chushnyakova, M.V., Phys. Rev. C: Nucl. Phys., 2014, vol. 89, 034601.

    Article  ADS  Google Scholar 

  36. Chushnyakova, M.V., Bhattacharya, R., and Gontchar, I.I., Phys. Rev. C: Nucl. Phys., 2014, vol. 90, 017603.

    Article  ADS  Google Scholar 

  37. Bhattacharya, R., Nucl. Phys. A, 2013, vol. 913, p. 1.

    Article  ADS  Google Scholar 

  38. Bespalova, O.V., Ermakova, T.A., Klimochkina, A.A., and Spasskaya, T.I., Phys. At. Nucl., 2017, vol. 80, p. 912.

    Article  Google Scholar 

  39. Bespalova, O.V., Fedorov, N.A., Klimochkina, A.A., et al., Eur. Phys. J. A, 2018, vol. 54, p. 2.

    Article  ADS  Google Scholar 

  40. Chushnyakova, M.V. and Gontchar, I.I., Phys. Rev. C: Nucl. Phys., 2013, vol. 87, 014614.

    Article  ADS  Google Scholar 

  41. Gontchar, I.I., Hinde, D.J., Dasgupta, M., et al., Phys. Rev. C: Nucl. Phys., 2006, vol. 73, 034610.

    Article  ADS  Google Scholar 

  42. Łojewski, Z., Nerlo-Pomorska, B., Pomorski, K., and Dudek, J., Phys. Rev. C: Nucl. Phys., 1995, vol. 51, p. 601.

    Article  ADS  Google Scholar 

  43. Gontchar, I.I., Hinde, D.J., Dasgupta, M., and Newton, J.O., Phys. Rev. C: Nucl. Phys., 2004, vol. 69, 024610.

    Article  ADS  Google Scholar 

  44. Kovar, D.G., Geesaman, D.F., Braid, T.H., et al., Phys. Rev. C: Nucl. Phys., 1979, vol. 20, p. 1305.

    Article  ADS  Google Scholar 

  45. Mukherjee, A., Hinde, D.J., Dasgupta, M., et al., Phys. Rev. C: Nucl. Phys., 2007, vol. 75, 044608.

    Article  ADS  Google Scholar 

  46. Dasgupta, M., Hinde, D.J., Diaz-Torres, A., et al., Phys. Rev. Lett., 2007, vol. 99, 192701.

    Article  ADS  Google Scholar 

  47. Yanez, R., Loveland, W., Vinodkumar, A.M., et al., Phys. Rev. C: Nucl. Phys., 2010, vol. 82, 054615.

    Article  ADS  Google Scholar 

  48. Hinde, D.J., Dasgupta, M., Herrald, N., et al., Phys. Rev. C: Nucl. Phys., 2007, vol. 75, 054603.

    Article  ADS  Google Scholar 

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Correspondence to A. A. Klimochkina.

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Translated by N. Semenova

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Sukhareva, O.M., Chushnyakova, M.V., Gontchar, I.I. et al. A New Algorithm for Calculating Proton, Neutron, and Charge Densities in Nuclei: Comparisons to Experimental Data. Bull. Russ. Acad. Sci. Phys. 85, 508–516 (2021). https://doi.org/10.3103/S106287382105021X

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  • DOI: https://doi.org/10.3103/S106287382105021X

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