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

• Autorzy: Min-Cang Zhang
• Języki publikacji: EN

Abstrakty

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.

Słowa kluczowe

EN

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

• Czasopismo: Open Physics
• Rocznik: 2009
• Tom: 7
• Numer: 4
• Strony: 768-773

Daty

wydano

2009-12-01

online

2009-07-21

Twórcy

autor

Min-Cang Zhang

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

Bibliografia

• [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)

Identyfikatory

DOI

10.2478/s11534-009-0008-x