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.
[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.
[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.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:59756", author = "G. Saxena and D. Singh and M. Kaushik and ", title = "Shell Closures in Exotic Nuclei", 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.", volume = "6", number = "11", pages = "1555-6", }