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Current issue   Ukr. J. Phys. 2016, Vol. 61, N 8, p.674-680
http://dx.doi.org/10.15407/ujpe61.08.0674    Paper

Grinyuk B.E., Piatnytskyi D.V.

Bogolyubov Institute for Theoretical Physics, Nat. Acad. of Sci. of Ukraine
(14b, Metrolohichna Str., Kyiv 03680, Ukraine; e-mail: bgrinyuk@bitp.kiev.ua, dvpyat@gmail.com)

Structure of 14C and 14O Nuclei Calculated in the Variational Approach

Section: Nuclei and Nuclear Reactions
Original Author's Text: Ukrainian

Abstract: The structure of mirror 14C and 14O nuclei has been studied in the framework of the five-particle model (three α-particles and two nucleons). Interaction potentials are proposed, which allowed the energy and radius of 14C nucleus, as well as the energy of 14O one, to agree with experimental data. On the basis of the variational approach with the use of Gaussian bases, the energies and wave functions for five-particle systems under consideration are calculated. The charge radius of 14O nucleus, as well as the charge density distributions and the form factors for both nuclei, are predicted.

Key words: root-mean-square radius, density distribution, charge form factor, 14C nucleus, 14O nucleus.


  1. V.I. Kukulin, V.N. Pomerantsev, Kh.D. Razikov et al., Nucl. Phys. A 586, 151 (1995).   CrossRef
  2. M.V. Zhukov, B.V. Danilin, D.V. Fedorov et al., Phys. Rep. 231, 151 (1993).   CrossRef
  3. B.E. Grinyuk and I.V. Simenog, Yad. Fiz. 72,10 (2009).
  4. Y. Ogawa, K. Arai, Y. Suzuki, and K. Varga, Nucl. Phys. A 673, 122 (2000).   CrossRef
  5. B.E. Grinyuk and I.V. Simenog, Yad. Fiz. 77, 443 (2014).
  6. A.V. Nesterov, F. Ariks, Ya. Brukkhov, and V.S. Vasilevskii, Elem. Chast. At. Yadro 41, 1337 (2010).
  7. V.I. Kukulin and V.M. Krasnopol'sky, J. Phys. G 3, 795 (1977).   CrossRef
  8. N.N. Kolesnikov and V.I. Tarasov, Yad. Fiz. 35, 609 (1982).
  9. Y. Varga and K. Suzuki, Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems (Springer, Berlin, 1998).
  10. B.E. Grinyuk and I.V. Simenog, Ukr. J. Phys. 56, 635 (2011).
  11. B.E. Grinyuk, D.V. Piatnytskyi, and I.V. Simenog, Ukr. J. Phys. 52, 424 (2007).
  12. I. Angeli and K.P. Marinova, At. Data Nucl. Data Tables 99, 69 (2013).   CrossRef
  13. I. Sick, Phys. Rev. C 77, 041302 (2008).   CrossRef
  14. Review of Particle Physics, J. Phys. G 33, 1–1232 (2006).   CrossRef
  15. I.V. Simenog, M.V. Kuzmenko, and V.M. Khryapa, Ukr. Fiz. Zh. 55, 1240 (2010).
  16. A.I. Akhiezer and V.B. Berestetskii, Quantum Electrody-namics (Interscience, New York, 1965).
  17. L.A. Schaller, L. Schellenberg, T.Q. Phan et al., Nucl. Phys. A 379, 523 (1982).   CrossRef
  18. R.F. Frosch, J.S. McCarthy, R.E. Rand, and M.R. Yearian, Phys. Rev. 160, 874 (1967).   CrossRef
  19. P.E. Bosted et al., Phys. Rev. Lett. 68, 3841 (1992).   CrossRef   PubMed