Seniority and ${ \left(\frac{\bf 9}{{\bf 2}}\right)^{\boldsymbol n} }$ configurations in neutron-rich Nickel isotopes

  • Excited states in low-energy spectra of $ ^{70-76} $ Ni are considered. Accordingly, pairing forces in the form of surface delta interaction are employed to account for the formation of the ground state multiplet with seniority $ \nu = 2 $ states. The multiplet splitting is described with mass relationships of masses of neighboring nuclei. Subsequently, the seniority model is adopted to reproduce or predict the states $ \nu = 3 $ in odd-even isotopes and $ \nu = 4 $ in even-even isotopes. The correct account of the $ 2_1^+ $ state should allow for the description of the reversed order of $ J = 4 $ states with $ \nu = 2 $ and $ \nu = 4 $ observed in experiments. The results obtained are compared with the structure of similar multiplets in $ N=50 $ isotones.
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  • [1] J. Carlsonet al., Prog. Part. and Nucl. Phys.94, 68 (2017) doi:10.1016/j.ppnp.2016.11.002
    [2] H. Watanabe, Acta Phys. Polonica B50, 641 (2019) doi:10.5506/APhysPolB.50.641
    [3] R. Taniuchiet al., Nature569, 53 (2019) doi:10.1038/s41586-019-1155-x
    [4] H. Graweet al., Rep. on Prog. in Phys.70, 1525 (2007) doi:10.1088/0034-4885/70/9/R02
    [5] H. Graweet al., Prog. Part. Nucl. Phys.38, 15 (2019)
    [6] R. Grzywaczet al., Phys. Rev. Lett.81, 766 (1998) doi:10.1103/PhysRevLett.81.766
    [7] M. Sawickaet al., Phys. Rev. C68, 044304 (2003) doi:10.1103/PhysRevC.68.044304
    [8] C.J. Chiaraet al., Phys. Rev. C84, 037304 (2011)
    [9] A.I. Moraleset al., Phys. Rev. C93, 034328 (2016) doi:10.1103/PhysRevC.93.034328
    [10] A.I. Moraleset al., Phys. Lett. B781, 706 (2018) doi:10.1016/j.physletb.2018.04.049
    [11] S. Goet al., Phys. Rev. C102, 044331 (2020) doi:10.1103/PhysRevC.102.044331
    [12] A. Gottardoet al., Phys. Rev. C102, 014323 (2020) doi:10.1103/PhysRevC.102.014323
    [13] S. Escriget al., Phys. Rev. C103, 064328 (2021) doi:10.1103/PhysRevC.103.064328
    [14] D.J. Rowe and G. Rosensteel, Phys. Rev. Lett.87, 172501 (2001) doi:10.1103/PhysRevLett.87.172501
    [15] G. Rosensteel and D.J. Rowe, Phys. Rev. C67, 014303 (2003)
    [16] R. Brodaet al., Phys. Lett. B74, 868 (1995) doi:10.1103/PhysRevLett.74.868
    [17] W.F. Muelleret al., Phys. Lett. B83, 3613 (1999) doi:10.1103/PhysRevLett.83.3613
    [18] P. Van Isacker, Int. J. of Mod. Phys. E20, 191 (2011) doi:10.1142/S021830131101751X
    [19] M.E. Stepanovet al., Bull. of the RAS: Physics82, 697 (2018)
    [20] M.E. Stepanovet al., EPJ WoC177, 03004 (2018)
    [21] G.Racah, Phys. Rev.61, 186 (1942) doi:10.1103/PhysRev.61.186
    [22] B.Bayman, A. Lande, Nucl. Phys.77, 1 (1966) doi:10.1016/0029-5582(66)90677-8
    [23] I.Talmi. Simple Models of Complex Nuclei. (Chur: Harwood Acad. Publ., 1993)
    [24] M. Goeppert Mayer, Phys. Rev.78, 22 (1950) doi:10.1103/PhysRev.78.22
    [25] A. De Shalit, Phys. Rev.91, 6 (1953)
    [26] M.A. Preston. Physics of the Nucleus. Mass. (Addison-Wesley Reading, 1962)
    [27] A. Bohr and B. R. Mottelson. Nuclear Structure, v. 1, (Benjamin, N.Y., 1969)
    [28] A.S. Jensen, P.G. Hansen, and B. Jonson, Nucl. Phys. A431, 393 (1984)
    [29] D.G. Madland and J.R. Nix, Nucl. Phys. A476, 1 (1988)
    [30] J. Dobaczewskiet al., Phys. Rev. C63, 024308 (2001) doi:10.1103/PhysRevC.63.024308
    [31] B.S. Ishkhanovet al., Chin. Phys. C41, 094101 (2017) doi:10.1088/1674-1137/41/9/094101
    [32] L.T. Imashevaet al., Phys. of Part. and Nucl.48, 889 (2017) doi:10.1134/S1063779617060211
    [33] M. Wanget al., Chin. Phys. C45, 030003 (2021) doi:10.1088/1674-1137/abddaf
    [34] M. Goeppert Mayer and J.H.D. Jensen. Elementary theory of nuclear shell structure. (New York: Wiley; London: Chapman and Hall, 1955)
    [35] A. de- Shalit and I. Talmi. Nuclear Shell Theory. (New York: Acad. Press, 1963)
    [36] G.Racah, Phys. Rev.63, 367 (1943) doi:10.1103/PhysRev.63.367
    [37] B.H. Flowers, Proc. R. Soc. A212, 248 (1952)
    [38] A. Escuderos and L. Zamick, Phys. Rev. C.73, 044302 (2006)
    [39] L. Zamick, Phys. Rev. C.75, 064305 (2007)
    [40] P. Van Isaker and S. Heinze, Phys. Rev. Lett.100, 052501 (2008) doi:10.1103/PhysRevLett.100.052501
    [41] P. Van Isaker and S. Heinze, Ann. of Phys.349, 73 (2014) doi:10.1016/j.aop.2014.06.011
    [42] C. Qi, Phys. Rev. C83, 014307 (2011) doi:10.1103/PhysRevC.83.014307
    [43] L. Corragioet al., Phys. Rev. C89, 024319 (2014) doi:10.1103/PhysRevC.89.024319
    [44] A.M. Lane. Nuclear Theory. (New York: W.A. Benjamin Inc., 1964)
    [45] B.Cederwallet al., Nature469, 68 (2011) doi:10.1038/nature09644
    [46] C. Qi, Phys. Lett. B773, 616 (2017) doi:10.1016/j.physletb.2017.09.025
    [47] Kh. Abusaleem and B. Singh, Nucl. Data Sheets112, 133 (2011) doi:10.1016/j.nds.2010.12.002
    [48] A.F. Lisetskyet al., Phys. Rev. C70, 044314 (2004) doi:10.1103/PhysRevC.70.044314
    [49] O.V. Bespalovaet al., Phys. of At. Nucl.74, 1521 (2011) doi:10.1134/S1063778811110056
    [50] O.V. Bespalovaet al., Bull. of RAS. Physics79, 543-549 (2015)
    [51] G. Gurdal and E.A. Mccutchan, Nucl. Data Sheets136, 1 (2016) doi:10.1016/j.nds.2016.08.001
    [52] C.Mazzocchiet al., Phys. Lett. B622, 45 (2005) doi:10.1016/j.physletb.2005.07.006
    [53] Coral M. Baglin, Nucl. Data Sheets113, 2187 (2012) doi:10.1016/j.nds.2012.10.001
    [54] Jun Chen and Balraj Singh, Nucl. Data Sheets164, 1 (2020) doi:10.1016/j.nds.2020.01.001
    [55] Coral M. Baglin, Nucl. Data Sheets112, 1163 (2011) doi:10.1016/j.nds.2011.04.001
    [56] S. K. Basu, G. Mukherjee, and A. A. Sonzogni, Nucl. Data Sheets111, 2555 (2010) doi:10.1016/j.nds.2010.10.001
    [57] N. Nica, Nucl. Data Sheets111, 525 (2010) doi:10.1016/j.nds.2010.03.001
    [58] D. Abriola and A.A. Sonzogni, Nucl. Data Sheets107, 2423 (2006) doi:10.1016/j.nds.2006.08.001
    [59] D. Abriola and A.A. Sonzogni, Nucl. Data Sheets109, 2501 (2008) doi:10.1016/j.nds.2008.10.002
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S. Sidorov, D. Zhulyaeva and T. Tretyakova. Seniority and ${ \left(\frac{\bf 9}{{\bf 2}}\right)^{\boldsymbol n} }$ configurations in neutron-rich Nickel isotopes[J]. Chinese Physics C. doi: 10.1088/1674-1137/ac5d29
S. Sidorov, D. Zhulyaeva and T. Tretyakova. Seniority and ${ \left(\frac{\bf 9}{{\bf 2}}\right)^{\boldsymbol n} }$ configurations in neutron-rich Nickel isotopes[J]. Chinese Physics C. doi:10.1088/1674-1137/ac5d29 shu
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