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Chinese Physics C> 2016, Vol. 40> Issue(12) : 124102 DOI: 10.1088/1674-1137/40/12/124102

Islands of stability and quasi-magic numbers for super-and ultra-heavy nuclei

  • 1.

      Physics Department, Faculty of Science, Cairo University, Egypt

  • 2.

     Physics Department, Faculty of Science, Cairo University, Egypt

  • 3.

     Physics Department, College of Science, Majmaah University, Al-Zulfi, Kingdom of Saudi Arabia

  • 4.

     Physics Department, German University in Cairo, New Cairo City, Egypt

  • In the framework of Strutinsky's approach, we calculated the shell and the residual pairing correction energies for 5569 even-even nuclei in the range 72≤Z≤282 and 96≤N≤540. Quasi-magic numbers and deformed islands of stability that reside in a range defined by Green's formula and the two-neutrons drip line are introduced. We present 36 quasi-magic proton and 53 quasi-magic neutron magic numbers that contribute to the formation of 133 deformed islands of stability along the N-Z space. The quasi-magic proton and neutron magic numbers volatile as the mass number increases and other magic numbers take over. Consequently, the deformed islands of stability fail to exhibit a pattern along the search space covered.
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    [1] P. Doornenbal, H. Scheit, S. Takeuchi et al, Phys. Rev. Lett., 111:212502(2013)
    [2] S. Hofmann, Rep. Prog. Phys., 61:639(1998).
    [3] S. Hofmann and G. Mnzenberg, Rev. Mod. Phys., 72:733(2000)
    [4] A. Bohr and B. R, in Mottelson. Nuclear Structure, Vol. 2(New York, 1975)
    [5] I. Muntian, Z. Patyk, and A. Sobiczwski, Phys. Lett., B, 500:241(2001)
    [6] V. M. Strutinsky, Nucl. Phys., A, 95:420(1967)
    [7] V. M. Strutinsky, Nucl. Phys. A, 122:1(1968)
    [8] Robert Smolańczuk, Phys. Rev. C, 56:812(1997)
    [9] M. Bender, W. Nazarewicz, and P.-G. Reinhard, Phys. Lett. B, 515:42(2001)
    [10] U. Mosel and W. Greiner, Z. Phys., 217:256(1968)
    [11] S. G. Nilsson, C. F. Tsang, S. Szymański, S. Wycech, C. Gustafson, I. Lamm, P. Mller, B. Nilsson, and A. Sobiczewski, Nucl. Phys. A, 131:1(1969)
    [12] A. V. Afanasjev and S. Frauendorf, Phys. Rev., C, 71:024308(2005)
    [13] A. V. Afanasjev and S. Frauendorf, Phys. Scr., T 125:62(2006)
    [14] Z. Patyk and A. Sobiczewski, Nucl. Phys. A, 533:132(1991)
    [15] P. Mller and J.R. Nix, J. Phys. G, 20:1681(1994)
    [16] S. Hofmann, V. Ninov, F. P. Hessberger, P. Armbruster, H. Folger, G. Mnzenberg, H. J. Schtt, A. G. Popeko,A. V. Yeremin, A. N. Andreyev, S. Saro, R. Janik, and M. Leino. Z,Phys. A, 350:281(1995)
    [17] S. Hofmann, V. Ninov, F. P. Hessberger, P. Armbruster, H. Folger, G. Mnzenberg, H. J. Schtt, A. G. Popeko,A. V. Yeremin, S. Saro, R. Janik, and M. Leino, Z. Phys. A, 354:229(1996)
    [18] Yu. A. Lazarev et al, Phys. Rev. C, 54:620(1996)
    [19] Yu. Ts. Oganessian et al, Phys. Rev. C, 79:024608(2009)
    [20] G. Lalazissis, M. Sharma, P. Ring, and Y. Gambhir, Nucl. Phys. A, 608:202(1996)
    [21] S. Ćwiok, J. F. Dobaczewski, Magierski P. and Nazarewicz W. Heenen, P. H. Nucl. Phys. A, 611:211(1996)
    [22] K. Rutz, M. Bender, T. Bϔvenich, T. Schilling, P.-G. Reinhard, J. A. Maruhn, W. Greiner, and J. A. Phys. Rev. C, 56:238(1997)
    [23] J. Dudek, Z. Szymaśki, and T. Werner, Phys. Rev. C, 23:920(1981)
    [24] Haifei Zhang, Jianmin Dong, Nana Ma, G.Royer, Junqing Li, and Hongfei Zhang, Nucl. Phys. A, 929:38(2014)
    [25] M. Bender, K. Rutz, P.-G. Reinhard, J. A. Maruhn, and W. Greiner. Phys. Rev. C, 60:034304(1999)
    [26] T. Brvenich, K. Rutz, M. Bender et al, Eur. Phys. J, A 3:139(1998)
    [27] A. T. Kruppa, M. Bender, W. Nazarewicz et al. Phys. Rev. C, 61:034313(2000)
    [28] M. Brack and C. Pauli, Nucl. Phys. A, 207:401(1973)
    [29] A. Bohr and B. R. Mottelson, Nuclear Structure, vol. 1(W.A. Benjamin, New York, 1969)
    [30] C. K. Ross and R.K.Bhaduri, Nucl. Phys. A, 188:566(1972)
    [31] W. Zhang, J. Meng, S. Q. Zhang, L. S. Geng, and H. Toki, Nucl. Phys. A, 753:106(2005)
    [32] M. Ismail, A. Y. Ellithi, A. Adel, and Hisham Anwer, J.Phys. G, 43:015101(2016)
    [33] M. Ismail, A. Y. Ellithi, A. Adel, and Hisham Anwer, Int. J. Mod. Phys. E, 25:1650004(2016)
    [34] M. Brack, J. Damgaard, Pauli H.C, Strutinsky V. M, and Wong C. Y. Jensen, A.S, Rev. Mod. Phys., 44:320(1972)
    [35] R. D. Woods and D. S. Saxon, Phys. Rev., 90:577(1954)
    [36] K. T. R. Davies and J. R. Nix, Phys. Rev., C 14, 1977(1976)
    [37] S. Ćwiok, J. Dudek, J. Nazarewicz, J. Skalski, and J. Werner, Comput. Phys. Commun., 46:379(1987)
    [38] F. Garcia, O. Rodriguez, J. Mesa, J. D. T. Arruda-Neto, V. P. Likhachev, E. Garrote, R. Capote, and F. Guzmn,
    [39] A. Faessler, Ismail M, Ohtsuka N, and Wadia W. Rashdan, M. Z. Phys. A, 333:153(1989)
    [40] A. Bohr, Mottelson B. R., and Pines D, Phys. Rev., 110:936(1958)
    [41] S. Fujita and Godoy S, Quantum Statistical Theory of Superconductivity. Hingham, Mass., USA:(Kluwer Academic Publishers, 1996)
    [42] H. Nakada and K. Sugiura, Prog. Theor. Exp. Phys., 033D02:2(2014)
    [43] V. Yu. Denisov, Phys. At. Nucl., 68:1133(2005)
    [44] P. Mller, J. R. Nix, W.D. Myers, and W.J. Światecki, At. Data Nucl. Data Tables, 59:185(1995)
    [45] P. Mller, W. D. Myers, W. J. Światecki, and J. Treiner, Atomic Data Nucl. Data Tables, 39:225(1988)
    [46] G. Audi, A.H. Wapstra, and C. Thibault, Nucl. Phys., A, 729:337(2003)
    [47] S. Goriely, M. Samyn, and J.M. Pearson, Phys. Rev., C 75, 064312(2007)
    [48] M. Kowal, P. Jachimowicz, and J. Skalski, submitted to Atomic Data and Nuclear Data Tables, (available from nucl-th: 1203.5013v1), (2012)
    [49] O. Sorlin and M.-G. Porquet, Prog. Part. Nucl. Phys., 61:602(2008)
    [50] D. N. Basu, Int. J. Mod. Phys., E 13:747(2004)
    [51] M. Ismail and A. Adel, Int. J. Mod. Phys. E, 21:1250062(2012)
    [52] C. Scheidernberger, F. Attallah, K. Beckert, F. Bosch, H. Eickhoff, M. Falch et al, in Proceedings of the International Conference on Nuclear Physics (Dubna, Russia, 1999)
    [53] Roger A. Rydin, Nuclear Science and Engineering, 179:352(2015)
    [54] J. H. Hamilton, Hofmann S., and Oganessian Y.T, Journal of Physics:Conference Series, 580:012019(2015)
    [55] H. F. Zhang, Y. Gao, N. Wang, J. Q. Li, E. G. Zhao, and G. Royer, Phys. Rev. C 85:014325(2012)
    [56] Yu. Oganessian, Acta Phys. Pol. B, 43:167(2012)
    [57] R. K. Gupta, S. Dhaulta, R. Kumar, M. Balasubramaniam, G. Munzenberg, and W. Scheid, Phys. Rev. C, 68:034321(2003)
    [58] S. Liran, A. Marinov, and N. Zeldes, Hyperfine Interactions, 132:421(2001)
    [59] D. N. Poenaru and Greiner W, Heavy Elements and Related New Phenomena, Vol Ⅱ. Singapore:(World Scientific, 1999)
    [60] Raj K. Gupta, Heavy Elements and Related New Phenomena, Vol Ⅱ. Singapore:(World Scientific, 1999)
    [61] T. Sil, S. K. Patra, B. K. Sharma, M. Centelles, and X. Vinas, Phys. Rev. C, 69:044315(2004)
    [62] P. Roy Chowdhury, C. Samanta, and D. N, Basu. Atomic Data Nucl. Data Tables, 94:781(2008)
    [63] K. H. Bennemann and J. B. Ketterson, Novel Superfluids, Volume 2(New York:Oxford University Press, 2014)
    [64] A. A. Saldanha, A. R. Farhan, and M. M. Sharma, J. Phys., G 36:115103(2009)
    [65] A. Staszczak, A. Baran, and W. Nazarewicz, Phys. Rev. C, 87:024320(2013)
    [66] J. Dobaczewski, A. V. Afanasjev, M. Bender, L. M. Robledo, and Yue Shi. Nucl. Phys. A, 944:388(2015)
    [67] S. E. Agbemava, A. V. Afanasjev, T. Nakatsukasa, and P. Ring, Phys. Rev. C, 92:054310(2015)
    [68] M. Bender and P-H. Heenen, J. Phys.:Conf. Ser., 420:012002(2013)
    [69] D. Kolb, Z. Phys. A, 280:143(1977)
    [70] V. M. Strutinsky, F. A. Ivanjuk, and V. V. Pashkevich, Sov. J. Nucl. Phys, 31:46(1980)
    [71] V. M. Strutinsky, Yad. Fiz., 3:614(1966)
    [72] A. T. Kruppa, Phys. Lett. B, 431:237(1998)
    [73] F. A. Ivanyuk, V. M. Strutinsky, Z. Phys. A, 286:291(1978)
    [74] F. A. Ivanyuk, V. M. Strutinsky, Z. Phys. A, 290:107(1979)
    [75] F. A. Ivanyuk, Z. Phys. A, 316:233(1984)
    [76] A. Bhagwat, X. Vinas, M. Centelles, P. Schuck, and R. Wyss, Phys. Rev. C, 86:044316(2012)
    [77] T. Vertse, A. T. Kruppa, and W. Nazarewicz, Phys. Rev. C, 61:064317(2000)
    [78] W. Nazarewicz, T. R. Werner, and J. Dobaczewski, Phys. Rev. C, 50:2860(1994)
    [79] J. Dobaczewski, W. Nazarewicz, T. R. Werner, J. F. Berger, C. R. Chinn, and J. Decharge, Phys. Rev. C, 53:2809(1996)

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M. Ismail, A. Y. Ellithi, A. Adel and Hisham Anwer. Islands of stability and quasi-magic numbers for super-and ultra-heavy nuclei[J]. Chinese Physics C, 2016, 40(12): 124102. doi: 10.1088/1674-1137/40/12/124102
M. Ismail, A. Y. Ellithi, A. Adel and Hisham Anwer. Islands of stability and quasi-magic numbers for super-and ultra-heavy nuclei[J]. Chinese Physics C, 2016, 40(12): 124102.  doi: 10.1088/1674-1137/40/12/124102 shu
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Received: 2016-07-12
Revised: 2016-09-07
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Islands of stability and quasi-magic numbers for super-and ultra-heavy nuclei

    Corresponding author: Hisham Anwer, hisham@sci.cu.edu.eg
  • 1.  Physics Department, Faculty of Science, Cairo University, Egypt
  • 2. Physics Department, Faculty of Science, Cairo University, Egypt
  • 3. Physics Department, College of Science, Majmaah University, Al-Zulfi, Kingdom of Saudi Arabia
  • 4. Physics Department, German University in Cairo, New Cairo City, Egypt
  • Received Date: 2016-07-12
  • Accepted Date: 2016-09-07
  • Available Online: 2016-12-05

Abstract: In the framework of Strutinsky's approach, we calculated the shell and the residual pairing correction energies for 5569 even-even nuclei in the range 72≤Z≤282 and 96≤N≤540. Quasi-magic numbers and deformed islands of stability that reside in a range defined by Green's formula and the two-neutrons drip line are introduced. We present 36 quasi-magic proton and 53 quasi-magic neutron magic numbers that contribute to the formation of 133 deformed islands of stability along the N-Z space. The quasi-magic proton and neutron magic numbers volatile as the mass number increases and other magic numbers take over. Consequently, the deformed islands of stability fail to exhibit a pattern along the search space covered.

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