Abstract
The pairing interaction between nucleons has a strong effect on the structure of an atomic nucleus. The most precise estimate of the magnitude of pairing forces is obtained by determining it for every isotope, based on the masses of the nuclei. The quality of this estimate is characterized by the degree of reconstruction for levels of the nucleus ground state multiplet (GSM). In this work, GSMs for even-even nuclei with pairs of identical nucleons over a filled core are considered on the basis of the delta interaction. Calculations of the GSM structure for isobar nuclei A = 42 and A = 134 show that analyzing GSM in the case of np pairing yields additional information on the correlation between isoscalar and isovector components in the structure of pairing forces.
Similar content being viewed by others
References
Goeppert-Mayer, M. and Jensen, J.H.D., Elementary Theory of Nuclear Shell Structure, New York: John Wiley & Sons, 1955.
Ring, P. and Schuck, P., The Nuclear Many-Body Problem, Berlin: Springer, 2004.
Talmi, I., Simple Models of Complex Nuclei, Chur: Harwood Ac. Publ., 1993.
Heusler, A. and von Brentano, P., Eur. Phys. J. A, 2008, vol. 38, p. 9.
Ishkhanov, B.S., Stepanov, M.E., and Tretyakova, T.Yu., Moscow Univ. Phys. Bull., 2014, vol. 69, pp. 1–20.
Audi, G., et al., Chin. Phys. C, 2012, vol. 36, no. 12, p. 1287; Wang, M., et al., Chin. Phys. C, 2012, vol. 36, no. 12, p. 1603.
National Nuclear Data Center, Brookhaven, Evaluated Nuclear Structure Data File. http://www.nndc.bnl.gov/ensdf/
Database “Centre for Photonuclear Experiments Data”, CDFE SINP MSU. http://cdfe.sinp.msu.ru/
Vogel, P., Jonson, B., and Hansen, P.G., Phys. Lett. B, 1984, vol. 139, p. 227.
Margueron, J., Sagawa, H., and Hagino, K., Phys. Rev. C, 2008, vol. 77, p. 054309.
Frauendorf, S. and Macchiavelli, A.O., Part. Nucl. Phys., 2014, vol. 78, pp. 24–90.
Dean, D.J. and Hjorth-Jensen, M., Rev. Mod. Phys., 2003, vol. 75, p. 607.
Dobaczewski, J., et al., Phys. Rev. C, 2001, vol. 63, p. 024308.
Satula, W., et al., Phys. Lett. B, 1997, vol. 407, p. 103.
Kaneko, K., Zhang, J.-Y., and Sun, Y., Phys. Lett. B, 2009, vol. 671, p. 42.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © L.T. Imasheva, B.S. Ishkhanov, M.E. Stepanov, T.Yu. Tretyakova, 2015, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2015, Vol. 79, No. 4, pp. 564–568.
About this article
Cite this article
Imasheva, L.T., Ishkhanov, B.S., Stepanov, M.E. et al. Estimating ground state multiplet splitting, based on the masses of nuclei. Bull. Russ. Acad. Sci. Phys. 79, 521–525 (2015). https://doi.org/10.3103/S1062873815040176
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1062873815040176