Abstract
New information about energies and occupation probabilities of neutron and proton single-particle (hole) subshells in even—even nuclei was obtained in previous studies applying the method of putting into correspondence all available data on one-nucleon pickup and stripping reactions. The most important and interesting resultwas identification of several nuclei as new magic ones. Namely, itwas found that a filling of the neutron 2d 5/2 subshell in 96Zr makes this nuclide a magic one. Moreover, changes in proton subshell energies with increasing neutron number N are accompanied by an increasing energy gap between closed 2p 1/2 and empty 1g 9/2 subshells. Thus, the neutron number N = 56 appears to be a magic one if the proton number Z is equal to 40. The proton number Z = 40 manifests properties of the magic number in 96Zr. Therefore, 96Zr was identified as a new double-magic nucleus. Further investigations revealed that the energy of the first 2+ state E(2 +1 ) in 96Zr is much higher than that in the neighboring isotopes and isotones, whereas the ratio E(4 +1 )/E(2 +1 ) and the quadrupole deformation parameter β2 are, vice versa, clearly lower. Moreover, the A dependence of the neutron separation energy B(n) in Zr isotopes has an irregularity at N = 56 which is typical of magic nuclei. As a result of these investigations, it was found that, near the Fermi energy, there are two closed subshells with the same (and large) angular momentum j = 5/2 (viz. π1f 5/2 and ν2d 5/2). We call this situation the jj connection. The magic numbers under discussion (Z = 40 and N = 56) are achieved at the points where both subshells are closed, and in addition, the closed subshell with j = 1/2, π2p 1/2, occurs above the proton π1f 5/2 subshell. This looks like a result of some additional attractive proton-neutron interaction. It was found that application of this scheme (jj connection) to other subshells reveals several other new magic nuclei: 54Ca (closed π1d 3/2 and ν2p 3/2 together with closed ν2p 1/2), 30S and 30Si (closed π1d 5/2 and ν1d 5/2 together with closed (π/ν)2s 1/2), and 14O and 14C (closed π1p 3/2 and ν1p 3/2 together with closed ν2p 1/2).
Similar content being viewed by others
References
M. Hannawald, T. Kautzsch, A. Woöhr, et al., Phys. Rev. Lett. 82, 1391 (1999).
D. E. Appelbe, C. J. Barton, M. H. Muikku, et al., Phys. Rev. C 67, 034309 (2003).
S. N. Liddick, P. F. Mantica, R. Broda, et al., Phys. Rev. C 70, 064303 (2004).
S. N. Liddik, P. F. Mantica, R. V. F. Janssens, et al., Phys. Rev. Lett. 92, 072502 (2004).
D.-C. Dinca, R. V. F. Janssens, A. Gade, et al., Phys. Rev. C 71, 041302 (2005).
M. Honma, T. Otsuka, B. A. Brown, and T. Mizusaki, Phys. Rev. C 65, 061301 (2002).
M. Honma, T. Otsuka, B. A. Brown, and T. Mizusaki, Eur. Phys. J. A 25,s1, 499 (2005).
D. A. Zaikin, M. V. Mordovskoj, and I. V. Surkova, Izv. Akad. Nauk, Ser. Fiz. 69, 69 (2005).
O. V. Bespalova, I. N. Boboshin, V. V. Varlamov, et al., Izv. Akad. Nauk, Ser. Fiz. 68, 1165 (2004).
I. N. Boboshin, B. S. Ishkhanov, and V. V. Varlamov, in Contributions to the International Conference on Nuclear Structure and Related Topics, Dubna, Russia, 2003, Preprint No. E4-2003-142, JINR (Joint Institute for Nuclear Research, Dubna, 2003), p. 20.
I. N. Boboshin, B. S. Ishkhanov, and V. V. Varlamov, Yad. Fiz. 67, 1872 (2004) [Phys. At. Nucl. 67, 1846 (2004)].
O. V. Bespalova, I. N. Boboshin, V. V. Varlamov, et al., Phys. At. Nucl. 68, 191 (2005).
I. N. Boboshin and V. V. Varlamov, in Proceedings of the International Conference on Nuclear Data for Science and Technology, Santa Fe, New Mé xico, 2004, AIP Conf. Proc. 769(Part 1), 366 (2005).
T. Otsuka, R. Fujimoto, Y. Utsuno, et al., Phys. Rev. Lett. 87, 082502 (2001).
I. N. Boboshin and V. V. Varlamov, in Abstracts of the International Conference on Nuclear Data for Science and Technology, Santa Fe, New Meéxico, 2004 (Los Alamos National Laboratory, 2004), p. 155.
I. N. Boboshin, V. V. Varlamov, B. S. Ishkhanov, and E. A. Romanovsky, in Contributions to the International Conference on Nuclear Structure and Related Topics,Dubna, Russia, 2006, Preprint No. E4-2006-65, JINR (Joint Institute for Nuclear Research, Dubna, 2006), p. 22.
O. V. Bespalova, I. N. Boboshin, V. V. Varlamov, et al., Izv. Akad. Nauk, Ser. Fiz. 70, 661 (2006).
The USA NNDC ENSDF database, URL: http://www.nndc.bnl.gov/ensdf
The Russia MSU SINP CDFE Complete Nuclear Spectroscopy Database “Relational ENSDF”, URL: http://cdfe.sinp.msu.ru/services/ensdfr.html
S. Raman, C. W. Nestor, and P. Tikkanen, At. Data Nucl. Data Tables 78, 1 (2001).
R. Arnold, C. Augier, J. Baker, et al., Nucl. Phys. A 658, 299 (1999).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Boboshin, I.N., Varlamov, V.V., Ishkhanov, B.S. et al. New double-magic nucleus 96Zr and conditions for existence of new magic nuclei. Phys. Atom. Nuclei 70, 1363–1368 (2007). https://doi.org/10.1134/S1063778807080078
Received:
Issue Date:
DOI: https://doi.org/10.1134/S1063778807080078