Pseudospin symmetry and a double ring-shaped spherical harmonic oscillator potential

• Authors: Min-Cang Zhang
• Languages of publication: EN

Abstracts

EN

A new double ring-shaped spherical harmonic oscillator potential is presented. The pseudospin symmetry in this system is investigated by solving the Dirac equation with equal mixture of scalar and vector potentials with opposite signs. The normalized spinor wave function and energy equation are obtained and some particular cases are discussed.

Keywords

EN

double ring-shaped spherical harmonic oscillator potential; pseudospin symmetry; Dirac equation

Discipline

• 03.65.Ge: Solutions of wave equations: bound states
• 03.65.Pm: Relativistic wave equations
• 21.60.Cs: Shell model
• 24.10.Jv: Relativistic models

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 4
• Pages: 768-773

Dates

published

1 - 12 - 2009

online

21 - 7 - 2009

Contributors

author

Min-Cang Zhang

• College of Physics and Information Technology, Shaanxi Normal University, Xi’an, 710062, PR China

References

• [1] A. Arima, M. Harvey, K. Shimizu, Phys. Lett. B 30 517 (1969) http://dx.doi.org/10.1016/0370-2693(69)90443-2[Crossref]
• [2] K. T. Hecht, A. Adler, Nucl. Phys. A 137, 129 (1969) http://dx.doi.org/10.1016/0375-9474(69)90077-3[Crossref]
• [3] J. N. Ginocchio, Phys. Rep., 231 (1999) http://dx.doi.org/10.1016/S0370-1573(99)00021-6[Crossref]
• [4] J. N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997) http://dx.doi.org/10.1103/PhysRevLett.78.436[Crossref]
• [5] J. N. Ginocchio, A. Leviatan, Phys. Lett. B 425, 1 (1998) http://dx.doi.org/10.1016/S0370-2693(98)00188-9[Crossref]
• [6] J. Dudet, W. Nazarewicz, Z. Szymanski, G. A. Leander, Phys. Rev. Lett. 59, 1405 (1987) http://dx.doi.org/10.1103/PhysRevLett.59.1405[Crossref]
• [7] W. Nazarewicz, P. J. Twin, P. Fallon, J. D. Garrett, Phys. Rev. Lett. 64, 1654 (1990) http://dx.doi.org/10.1103/PhysRevLett.64.1654[Crossref]
• [8] B. Mottelson, Nucl. Phys. A 522, 1 (1991) http://dx.doi.org/10.1016/0375-9474(91)90048-B[Crossref]
• [9] J. Y. Zeng et al., Phys. Rev. C 44, R1745 (1991) http://dx.doi.org/10.1103/PhysRevC.44.R1745[Crossref]
• [10] A. Soylu, O. Bayrak, I. Boztosun, J. Phys. A-Math. Gen. 41, 065308 (2008) http://dx.doi.org/10.1088/1751-8113/41/6/065308[Crossref]
• [11] C. Berkdemic, Nucl. Phys. A 770, 32 (2006) http://dx.doi.org/10.1016/j.nuclphysa.2006.03.001[Crossref]
• [12] O. Bayrak, I. Boztosun, J. Phys. A-Math. Gen. 40, 11119 (2007) http://dx.doi.org/10.1088/1751-8113/40/36/012[Crossref]
• [13] W. C. Qiang, R. S. Zhou, Y. Gao, J. Phys. A-Math. Gen. 40, (2007) http://dx.doi.org/10.1088/1751-8113/40/7/016[Crossref]
• [14] T. S. Chen, H. F. Lu, J. Meng, Chinese Phys. Lett., 358 (2003) http://dx.doi.org/10.1088/0256-307X/20/3/312[Crossref]
• [15] V. I. Kukulin, G. Loyola, M. Moshinsky, Phys. Lett. A 158, 19 (1991) http://dx.doi.org/10.1016/0375-9601(91)90333-4[Crossref]
• [16] J. N. Ginocchio, Phys. Rev. C 69, 034318 (2004) http://dx.doi.org/10.1103/PhysRevC.69.034318[Crossref]
• [17] S. G. Zhou, J. Meng, P. Ring, Phys. Rev. Lett. 91, 262501 (2003) http://dx.doi.org/10.1103/PhysRevLett.91.262501[Crossref]
• [18] P. Alberto, M. Fiolhais, M. Malheiro, A. Delfino, M. Chiapparini, Phys. Rev. C 65, 034307 (2002) http://dx.doi.org/10.1103/PhysRevC.65.034307[Crossref]
• [19] C. Quesne, J. Phys. A-Math. Gen. 21, 3093 (1988) http://dx.doi.org/10.1088/0305-4470/21/14/010[Crossref]
• [20] S. H. Dong, D. S. Sun, M. Lozada-Cassou, Phys. Lett. A 340, 94 (2005) http://dx.doi.org/10.1016/j.physleta.2005.04.024[Crossref]
• [21] M. C. Zhang, Z. B. Wang, Chinese Phys. Lett. 22, 2994 (2005) http://dx.doi.org/10.1088/0256-307X/22/12/003[Crossref]
• [22] F. L. Lu, C. Y. Chen, D. S. Sun, Chinese Phys. 14, 463 (2005) http://dx.doi.org/10.1088/1009-1963/14/3/005[Crossref]
• [23] M. C. Zhang, Z. B. Wang, Acta Phys. Sin.-Ch. Ed. 56, 3688 (2007)
• [24] R. Lisboa, M. Malheiro, A. S. de Castro, P. Alberto, M. Fiolhais, Phys. Rev. C 69, 024319 (2004) http://dx.doi.org/10.1103/PhysRevC.69.024319[Crossref]
• [25] A. S. de Castro, P. Alberto, R. Lisboa, M. Malheiro, Phys. Rev. C 73, 054309 (2006) http://dx.doi.org/10.1103/PhysRevC.73.054309[Crossref]
• [26] M. C. Zhang, Acta Phys. Sin.-Ch. Ed. 58, 61 (2009)
• [27] J. Y. Guo, J. C. Han, R. D. Wang, Phys. Lett. A 353, 378 (2006) http://dx.doi.org/10.1016/j.physleta.2006.01.003[Crossref]
• [28] J. N. Ginocchio, A. Leviatan, J. Meng, S. G. Zhou, Phys. Rev. C 69, 034303 (2004) http://dx.doi.org/10.1103/PhysRevC.69.034303[Crossref]
• [29] M. C. Zhang, Acta Phys. Sin.-Ch. Ed. (in press)

Identifiers

DOI

10.2478/s11534-009-0008-x