JMP  Vol.4 No.5 B , May 2013
Influence of Tensor Interaction on Evolution of Nuclear Shells
ABSTRACT

Using Skyrme’s density dependent interaction the evolution of nuclear shells has been studied in Hartree-Fock formalism. Optimization of the strength of tensor interaction has been done in reproducing the observed splitting of shell model states of 40,48Ca, 56Ni and 208Pb. Spin-orbit splitting in Ca-isotopes, 56Ni, 90Zr, N = 82 isotones, Sn-isotopes and evolution of gaps in Z, N=8, 20 have been reanalyzed with the inclusion of tensor interaction. For doubly shell closed nuclei it has been observed that tensor interaction is sensitive to spin saturation of nuclear shells.


Cite this paper
R. Bhattacharya, "Influence of Tensor Interaction on Evolution of Nuclear Shells," Journal of Modern Physics, Vol. 4 No. 5, 2013, pp. 33-36. doi: 10.4236/jmp.2013.45B007.
References
[1]   D. Vautherin and D. M. Brink, “Hartree-Fock Calculations with Skyrme’s Interaction,” Physics Letters B, Vol. 32, No. 3, 1970, pp. 149-153. doi:10.1016/0370-2693(70)90458-2

[2]   D. Vautherin and D. M. Brink, “Hartree-Fock Calculations with Skyrme’s Interaction.Ⅰ. Spherical Nuclei,” Physical Review C, Vol. 5, No. 3, 1972, pp. 626-647. doi:10.1103/PhysRevC.5.626

[3]   T. Otsuka, et al., “Magic Numbers in Exotic Nuclei and Spin-Isospin Properties of the NN Interaction,” Physical Review Letters, Vol. 87, No. 8, 2001, 082502. doi:10.1103/PhysRevLett.87.082502

[4]   G. G. Colo, H. Sagawa, S. Fracasso and P. F. Bortignon, “Spin-Orbit Splitting and the The Tensor Component of the Skyrme Interaction,” Physics Letters B, Vol. 646, No. 5-6, 2007, pp. 227-231. doi.org/10.1016/j.physletb.2007.01.033

[5]   D. M. Brink and F. Stancu, “Evolution of Nuclear Shells with the Skyrme Density Dependent Interaction,” Physical Review C, Vol. 75, 2007, 064311. doi:10.1103/PhysRevC.75.064311

[6]   T. Lesinski, M. Bender, K. Bennaceur, T. Duguet and J. Meyer, “Tensor Part of The Skyrme Energy Density Functional: Spherical Nuclei,” Physical Review C, Vol. 76, 2007, p. 014312. doi:10.1103/PhysRevC.76.014312

[7]   M. Zalewski, J. Dobaczewski, W. Satula and T. R. Werner, “Spin-Orbit and Tensor Mean-Field Effects on Spin-Orbit Splitting Including Self-Consistent Core Polarization,” Physical Review C, Vol. 77, 2008, p. 024316.doi:10.1103/PhysRevC.77.024316

[8]   Y. Z. Wang, J. Z. Gu, J. M. Dong and X. Z. Zhang, “Systematic Study of Tensor Effects in Shell Evolution,” Physical Re-view C, Vol. 83, 2011,054305. doi:10.1103/PhysRevC.83.054305

[9]   J. Dobaczewski, H. Flocard and J. Treiner, “Hartree-Fock-Bogolyubov Description of Nuclei Near The Neutron-Drip Line,” Nuclear Physics A, Vol. 422, No. 1, 1984, pp. 103-139. doi:10.1016/0375-9474(84)90433-0

[10]   E. Chabanat, P. Bonche, P. Haensel, J. Meyer and R. Schaeffer, “A Skyrme Parametrization from Subnuclear to Neutron Star Densities Part Ⅱ. Nuclei Far from Stabilities,” Nuclear Physics A, Vol. 635, No. 1-2, 1998, pp. 231-256. doi:10.1016/S0375-9474(98)00180-8

[11]   B. A. Brown, “New Skyrme Interaction for Normal and Exotic Nuclei,” Physical Review C, Vol. 58, 1998, pp. 220-231. doi:10.1103/PhysRevC.58.220

[12]   B. K. Agrawal, S. Shlomo and V. Kim Au, “Determination of the Parameters of A Skyrme Type Effective Interaction Using the Simulated Annealing Approach,” Physical Review C, Vol. 72, 2005, 014310 doi:10.1103/PhysRevC.72.014310

[13]   N. Schwierz, I. Wiedenhover and A. Volya, arXiv:0709.3525

[14]   A. Oros, Ph.D thesis, University of Koln, 1996.

[15]   D. C. Dinca, et al., “Reduced Transition Probabilities to the First 2 State in 52,54,56Ti and Development of Shell Closures at N = 32, 34,” Physical Review C, Vol. 71, 2005, 041302.doi:10.1103/PhysRevC.71.041302

 
 
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