Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 33100
Shell Closures in Exotic Nuclei
Authors: G. Saxena, D. Singh, M. Kaushik,
Abstract:
Inspired by the recent experiments [1]-[3] indicating unusual doubly magic nucleus 24O which lies just at the neutron drip-line and encouraged by the success of our relativistic mean-field (RMF) plus state dependent BCS approach for the description of the ground state properties of the drip-line nuclei [23]-[27], we have further employed this approach, across the entire periodic table, to explore the unusual shell closures in exotic nuclei. In our RMF+BCS approach the single particle continuum corresponding to the RMF is replaced by a set of discrete positive energy states for the calculations of pairing energy. Detailed analysis of the single particle spectrum, pairing energies and densities of the nuclei predict the unusual proton shell closures at Z = 6, 14, 16, 34, and unusual neutron shell closures at N = 6, 14, 16, 34, 40, 70, 112.Keywords: Relativistic Mean Field theory, Magic Nucleus, Si isotopes, Shell Closure.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1334770
Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1503References:
[1] Robert V. F. Janssens, Nature 459 (2009) 1069.
[2] R. Kanungo, et al., Phys. Rev. Lett. 102 (2009) 152501.
[3] C. R. Hoffman, et al., Phys. Lett. B 672 (2009) 17.
[4] I. Tanihata, J. Phys. G 22 (1996) 157; I. Tanihata et al., Phys. Lett. B 512 (2001) 261.
[5] A. Ozawa, T. Kobayashi, T. Suzuki, K. Yoshida and I. Tanihata, Phys. Rev. Lett. 84 (2000) 5493; A. Ozawa et al., Nucl. Phys. A 709 (2002) 60.
[6] A. Jensen, K. Riisagar, D. V. Fadarov and E. Garrido, Rev. Mod. Phys. 76 (2004) 215, and reference therein; A. S. Jensen and K. Riisager, Phys. Lett. B 480 (2000) 39; P. G. Hansen and A. S. Jensen, Annu. Rev. Nucl. Part. Sci. 45 (1995) 591.
[7] S. Dasgupta, I. Mazumdar and V.S. Bhasin, Phys. Rev. C 50 (1994) 551(R)
[8] G. Bertsch, H. Esbensen and A. Sustich, Phys. Rev. C 42 (1990) 758.
[9] T. Otsuka et al., Phys. Rev. Lett. 87 (2001) 082502.
[10] J. Dobaczewski et al., Phys. Rev. C 53 (1996) 2809.
[11] M. Grasso et al., Phys. Rev. C 64 (2001) 064321.
[12] B. D. Serot and J. D. Walecka, Adv. Nucl. Phys. 16 (1986) 1.
[13] P. G. Reinhard, Rep. Prog. Phys. 52 (1989) 439; and references therein.
[14] P. G. Reinhard, M. Rufa, J. Marhun, W. Greiner and J. Friedrich, Z. Phys. A 323 (1986) 13.
[15] Y. Sugahara and H. Toki, Nucl. Phys. A 579 (1994) 557.
[16] R. Brockman and H. Toki, Phys. Rev. Lett. 68 (1992) 3408.
[17] P. Ring, Nucl. Part. Phys. 24 (1998) 1467.
[18] G. A. Lalazissis, D. Vretenar and P. Ring, Phys. Rev. C 57 (1998) 2294.
[19] M. M. Sharma, M. A. Nagarajan and P. Ring, Phys. Lett. B 312 (1993) 377.
[20] M. Del Estal, M. Contelles, X. Vinas and S. K. Patra, Phys. Rev. C 63 (2001) 044321.
[21] J. Meng, Phys. Rev. C 57 (1998) 1229.
[22] J. Meng, H. Toki, J. Y. Zeng, S. Q. Zhang and S. G. Zhou, Phys. Rev. C 65 (2002) 041302(R).
[23] H. L. Yadav, M. Kaushik and H. Toki, Int. Jour. Mod. Phys E 13 (2004) 647.
[24] H. L. Yadav, S. Sugimoto and H. Toki, Mod. Phys. Lett. A 17 (2002) 2523.
[25] M. Kaushik, D. singh and H. L. Yadav, Acta Phys. Slov. 5 No. 2 (2005) 181.
[26] G. Saxena, D. singh, H. L. Yadav, A. Haga and H. Toki, Modern Physics Letters A 23 (2008) 2589.
[27] D. Singh and G. Saxena, Int. Jour. Mod. Phys E, Vol. 21, No. 9, (2012) 1250076.
[28] B. G. Todd-Rutel, J. Piekarewicz and P. D. Cottle, Phys. Rev. C 69 (2004) 021301.
[29] L. S. Geng, Ph. D. Thesis, RCNP, Osaka University, Osaka, (2005); L. S. Geng, H. Toki, S. Sugimoto and J. Meng, Prog. Theor. Phys. 110 (2003) 921.
[30] A. M Lane, Nuclear Theory (Benjamin, 1964).
[31] P. Ring and P. Schuck, The Nuclear many-body Problem (Springer, 1980).
[32] G. F. Bertsch and H. Esbensen, Ann. Phys. (N.Y.) 209 (1991) 327.
[33] A. B. Migdal, Theory of Finite Fermi Systems and Applications to Atomic Nuclei (Interscience, New York, 1967).
[34] G. Audi, A. H. Wapstra and C. Thibault, Nucl. Phys. A 729 (2003) 337.
[35] G. Fricke et al., Phys. Rev. 45 (1992) 80.
[36] H. de Vries, C. W. de Jager, and C. de Vries, At. Data Nucl. Data Tables 36 (1987) 495.
[37] C. J. Batty, E. Friedman, H. J. Gils and H. Rebel, Adv. Nucl. Phys. 19 (1989) 1.
[38] M. M. Sharma, S. Mythili and A. R. Farhan, Phys. Rev C 59 (1998) 1379.
[39] Z. Ren, Z. Y. Zhu, Y. H. Cai and Gongou Xu, Nucl. Phys. A 605 (1996) 75.