Differentiability of the energy surfaces of even–even nuclei

  • A. K. Vlasnikov
  • A. I. Zippa
  • V. M. Mikhajlov
Proceedings of the LXVI International Conference on Nuclear Spectroscopy and the Structure of Atomic Nuclei


The expansion of even–even nucleus energy in power series of deviations from the given values of neutron and proton numbers. The calculation of the expansion parameters up to the sixth order shows that the values of parameters are sensible to the choice of the group of nuclei used for the calculation. This indicates that the nuclear energy surface is not sufficiently smooth (or completely differentiable). It is shown that the expression proposed earlier by the authors for the pairing energy of an odd nucleus in a definite quantum state does not need to be refined and can be used for the subsequent analysis of pairing energies.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bohr, A. and Mottelson, B.R., Nuclear Structure, New York: Benjamin, 1975, vol. 1.MATHGoogle Scholar
  2. 2.
    Madland, D.G. and Nix, J.R., Nucl. Phys. A, 1988, vol. 476, p. 1.ADSCrossRefGoogle Scholar
  3. 3.
    Vlasnikov, A.K., Zippa, A.I., and Mikhajlov, V.M., Bull. Russ. Acad. Sci.: Phys., 2016, vol. 80, p. 905.CrossRefGoogle Scholar
  4. 4.
    Vlasnikov, A.K., Zippa, A.I., and Mikhajlov, V.M., Abstracts of Papers, 66-ya Mezhdunarodnaya konferentsiya po problemam yadernoi spektroskopii i strukture atomnogo yadra “YaDRO-2016” (66th Int. Conf. on Nuclear Spectroscopy and Nuclear Structure "NUCLEUS-2016”), Sarov, 2016, p. 15.Google Scholar
  5. 5.
    Bender, M., Heenen, P.-H., and Reinhard, P.-G., Rev. Mod. Phys., 2003, vol. 75, p. 121.ADSCrossRefGoogle Scholar
  6. 6.
    Savushkin, L.N., Relativistic Nuclear Shell Model, St. Petersburg: Nucl. Phys. Inst., 2011.Google Scholar
  7. 7.
    Tolokonnikov, S., Kamerdzhiev, S., Voitenkov, D., et al., Phys. Rev. C, 2011, vol. 84, p. 064324.ADSCrossRefGoogle Scholar
  8. 8.
    Pastore, A., Margueron, J., Schuck, P., et al., Phys. Rev. C, 2013, vol. 88, p. 034314.ADSCrossRefGoogle Scholar
  9. 9.
    Wang, M., Audi, G., Wapstra, A.H., et al., Chin. Phys. C, 2012, vol. 36, p. 1603.CrossRefGoogle Scholar

Copyright information

© Allerton Press, Inc. 2017

Authors and Affiliations

  • A. K. Vlasnikov
    • 1
  • A. I. Zippa
    • 1
  • V. M. Mikhajlov
    • 1
  1. 1.St. Petersburg State UniversityPetrodvorets, St. PetersburgRussia

Personalised recommendations