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Spherical nuclei near the stability line and far from it

  • Nuclei
  • Theory
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Abstract

Results of microscopic and semiphenomenological calculations of features of spherical nuclei lying near the stability line and far from it are presented. The reason why the nuclei being considered are spherical is that they are magic at least in one nucleon sort. The present analysis is performed for Z = 50 and Z = 28 isotopes and for N = 50 isotones, the region extending from neutron-rich to neutron-deficient nuclei being covered. The isotopic dependence of the mean-field spin–orbit nuclear potential is revealed; systematics of energies of levels and probabilities for electromagnetic transitions is examined; and root-mean-square radii of nuclei are calculated, along with the proton- and neutron-density distributions in them. Nuclei in the vicinity of closed shells are considered in detail, and the axial-vector weak coupling constant in nuclei is evaluated. A systematic comparison of the results of calculations with experimental data is performed.

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References

  1. D. Vautherin and D. M. Brink, Phys. Rev. C 5, 626 (1972).

    Article  ADS  Google Scholar 

  2. M. Beiner, H. Flocard, Nguen Van Giai, and P. Quentin, Nucl. Phys. A 238, 29 (1975).

    Article  ADS  Google Scholar 

  3. V. I. Isakov, K. I. Erokhina, B. Fogelberg, et al., Pis’ma Fiz. Elem. Chastits At. Yadra, No. 5, 44 (2000).

    Google Scholar 

  4. V. G. Soloviev, Theory of Complex Nuclei (Nauka, Moscow, 1970; Pergamon, Oxford, 1976).

    Google Scholar 

  5. http://www-nds.iaea.or.at.

  6. V. I. Isakov, Phys. At. Nucl. 76, 828 (2013).

    Article  Google Scholar 

  7. V. I. Isakov, Phys. At. Nucl. 73, 1516 (2010).

    Article  Google Scholar 

  8. V. I. Isakov, EPJWeb Conf. 107, 02005 (2016).

    Article  Google Scholar 

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

  10. I. Angeli and K. P. Marinova, At. Data Nucl. Data Tables 99, 69 (2013).

    Article  ADS  Google Scholar 

  11. V. I. Isakov, Phys. Part. Nucl. 38, 269 (2007).

    Article  Google Scholar 

  12. V. I. Isakov, K. I. Erokhina, H. Mach, et al., Eur. Phys. J. A 14, 29 (2002).

    ADS  Google Scholar 

  13. V. I. Isakov, K. I. Erokhina, B. Fogelberg, H. Mach, and M. Sanchez Vega, Phys. At. Nucl. 67, 1823 (2004).

    Article  Google Scholar 

  14. J. D. Walecka, Ann. Phys. (N.Y.) 83, 491 (1974).

    Article  ADS  Google Scholar 

  15. A. M. Lane, Nucl. Phys. 35, 676 (1962).

    Article  Google Scholar 

  16. A. Bohr and B. R. Mottelson, Nuclear Structure, Vol. 1: Single-Particle Motion (Benjamin, New York, 1969).

    Google Scholar 

  17. A. G. Sitenko, Theory of Nuclear Reactions (Energoatomizdat, Moscow, 1983; World Scientific, Singapore, 1990).

    Book  Google Scholar 

  18. B. D. Anderson, N. Chittrakarn, A. R. Baldwin, et al., Phys. Rev. C 34, 422 (1986).

    Article  ADS  Google Scholar 

  19. M. Baranger, Phys. Rev. 120, 957 (1960).

    Article  ADS  Google Scholar 

  20. V. I. Isakov, Preprint LIYaF-875 (Gatchina, 1983).

    Google Scholar 

  21. E. U. Condon and G. H. Shortley, The Theory of Atomic Spectra (Cambridge Univ. Press, Cambridge, 1935).

    MATH  Google Scholar 

  22. K. Heyde and M. Waroquier, Nucl. Phys. A 167, 545 (1971).

    Article  ADS  Google Scholar 

  23. S. Raman, C. W. Nestor, Jr., and P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001).

    Article  ADS  Google Scholar 

  24. J. Cederkäll, A. Ekström, C. Fahlander, et al., Phys. Rev. Lett. 98, 172501 (2007).

    Article  ADS  Google Scholar 

  25. A. Jungclaus, J. Walker, J. Leske, et al., Phys. Lett. B 695, 110 (2011).

    Article  ADS  Google Scholar 

  26. K. I. Erokhina, V. I. Isakov, B. Fogelberg, and H. Mach, Pis’ma Fiz. Elem. Chastits At. Yadra, No. 4, 5 (2001).

    Google Scholar 

  27. V. I. Isakov, H. Mach, B. Fogelberg, K. I. Erokhina, A. J. Aas, and E. Hagebo, Phys. At. Nucl. 68, 1487 (2005).

    Article  Google Scholar 

  28. V. I. Isakov, S. A. Artamonov, and L. A. Sliv, Izv. Akad. Nauk SSSR, Ser. Fiz. 41, 2074 (1977).

    Google Scholar 

  29. S. A. Artamonov, V. I. Isakov, S. G. Kadmenskiĭ, et al., Sov. J. Nucl. Phys. 36, 486 (1982).

    Google Scholar 

  30. S. A. Artamonov, V. I. Isakov, Yu. N. Novikov, et al., Sov. J. Part. Nucl. 20, 189 (1989).

    Google Scholar 

  31. K. I. Erokhina and V. I. Isakov, Phys. At. Nucl. 59, 589 (1996).

    Google Scholar 

  32. V. I. Isakov, K. I. Erokhina, H. Mach, B. Fogelberg, A. Korgul, K. A. Mezilev, and E. Ramström, Phys. At. Nucl. 70, 818 (2007).

    Article  Google Scholar 

  33. V. I. Isakov, in Proceedings of the International Conference on Isomers, INIR 2011, Peterhoff, 2011 (2012), p. 41.

    Google Scholar 

  34. H. Mach, L. M. Fraile, S. Almaraz-Calderon, et al., Report CERN-INTC-2008-024 (2008).

    Google Scholar 

  35. I. M. Band, M. B. Trzhaskovskaya, C. W. Nestor, Jr., et al., At. Data Nucl. Data Tables 81, 1 (2002).

    Article  ADS  Google Scholar 

  36. H. Mach, D. Jerrestam, B. Fogelberg, et al., Phys. Rev. C 51, 500 (1995).

    Article  ADS  Google Scholar 

  37. Yu. V. Sergeenkov, Nucl. Data Sheets 65, 277 (1992).

    Article  ADS  Google Scholar 

  38. V. I. Isakov, Phys. At. Nucl. 77, 569 (2014).

    Article  Google Scholar 

  39. A. de Shalit and I. Talmi, Nuclear Shell Theory (Academic, New York, 1963).

    Google Scholar 

  40. V. I. Isakov, Phys. At. Nucl. 78, 709 (2015).

    Article  Google Scholar 

  41. I. N. Borzov, E. E. Saperstein, and S. V. Tolokonnikov, Phys. At. Nucl. 71, 469 (2008).

    Article  Google Scholar 

  42. I. N. Borzov, E. E. Saperstein, S. V. Tolokonnikov, et al., Eur. Phys. J. A 45, 159 (2010).

    Article  ADS  Google Scholar 

  43. C. D. Hinke, M. Böhmer, P. Boutachkov, et al., Nature 486, 341 (2012).

    Article  ADS  Google Scholar 

  44. R. P. Feynman and M. Gell-Mann, Phys. Rev. 109, 193 (1958).

    Article  ADS  MathSciNet  Google Scholar 

  45. M. Rho, Nucl. Phys. A 231, 493 (1974).

    Article  ADS  Google Scholar 

  46. T. E. O. Ericson and M. P. Locher, Nucl. Phys. A 148, 1 (1970).

    Article  ADS  Google Scholar 

  47. M. Ericson, Ann. Phys. (N.Y.) 63, 562 (1971).

    Article  ADS  Google Scholar 

  48. P. Osland, Nucl. Phys. B 56, 308 (1973).

    Article  ADS  Google Scholar 

  49. V. I. Isakov and Yu. I. Kharitonov, Izv. Akad. Nauk SSSR, Ser. Fiz. 50, 1803 (1986).

    Google Scholar 

  50. F. Osterfeld and A. Shulte, Phys. Lett. B 138, 23 (1984).

    Article  ADS  Google Scholar 

  51. J. Bang, S. A. Fayans, F. A. Gareev, et al., Nucl. Phys. A 440, 445 (1985).

    Article  ADS  Google Scholar 

  52. B. D. Anderson, C. Lebo, A. R. Baldwin, et al., Phys. Rev. C 41, 1474 (1990).

    Article  ADS  Google Scholar 

  53. V. I. Isakov, Phys. At. Nucl. 72, 33 (2009).

    Article  Google Scholar 

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Authors and Affiliations

  1. Petersburg Nuclear Physics Institute, National Research Centre Kurchatov Institute, Gatchina, 188300, Russia

    V. I. Isakov

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Original Russian Text © V.I. Isakov, 2016, published in Yadernaya Fizika, 2016, Vol. 79, No. 6, pp. 585–608.

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Isakov, V.I. Spherical nuclei near the stability line and far from it. Phys. Atom. Nuclei 79, 811–834 (2016). https://doi.org/10.1134/S1063778816060119

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