×
Hamzavi, M.; Rajabi, A. A.; Hassanabadi, H.

Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic iteration method. (English) Zbl 1238.81095

Phys. Lett., A 374, No. 42, 4303-4307 (2010).
Summary: In this Letter, the Dirac equation is exactly solved for spatially-dependent mass Coulomb potential including a Coulomb-like tensor potential under pseudospin symmetry limit by using asymptotic iteration method with arbitrary spin-orbit coupling number \(\kappa \). The energy eigenvalues and corresponding eigenfunctions are obtained and some numerical results are given.

Cited in 18 Documents

MSC:

81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
81R05 Finite-dimensional groups and algebras motivated by physics and their representations
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis

Keywords:

Dirac equation; spatially-dependent mass Coulomb potential; tensor potential; pseudospin symmetry; asymptotic iteration method
PDF BibTeX XML Cite
\textit{M. Hamzavi} et al., Phys. Lett., A 374, No. 42, 4303--4307 (2010; Zbl 1238.81095)
Full Text: DOI

References:

[1] Serot, B. D.; Walecka, J. D., The Relativistic Nuclear Many-Body Problems in Advances in Nuclear Physics (1986), Plenum: Plenum New York
[2] Hecht, K. T.; Adler, A., Nucl. Phys. A, 137, 129 (1969)
[3] Arima, A.; Harvey, M.; Shimizu, K., Phys. Lett. B, 130, 517 (1969)
[4] Dudek, J.; Nazarewicz, W.; Szymanski, Z.; Leander, G. A., Phys. Rev. Lett., 59, 1405 (1987)
[5] Serot, B. D., Rep. Prog. Phys., 55, 1855 (1992)
[6] Troltenier, D.; Bahri, C.; Draayer, J. P., Nucl. Phys. A, 586, 53 (1995)
[7] Ginocchio, J. N., Phys. Rev. Lett., 78, 3, 436 (1997)
[8] Ginocchio, J. N.; Leviatan, A., Phys. Lett. B, 425, 1 (1998)
[9] Meng, J.; Sugawara-Tanabe, K.; Yamaji, S.; Ring, P.; Arima, A., Phys. Rev. C, 58, 2, R628 (1998)
[10] Guo, J. Y.; Fang, X. Z.; Xu, F. X., Phys. Rev. A, 66, 062105 (2002)
[11] Page, P. R.; Goldman, T.; Ginocchio, J. N., Phys. Rev. Lett., 86, 204 (2001)
[12] Ginocchio, J. N., Phys. Rep., 414, 165 (2005)
[13] Ginocchio, J. N., Phys. Rev. C, 69, 034318 (2004)
[14] Chen, T. S.; Lü, H. F.; Meng, J.; Zhang, S. Q.; Zhou, S. G., Chin. Phys. Lett., 20, 358 (2003)
[15] de Souza Dutra, A.; Hott, M., Phys. Lett. A, 356, 215 (2006)
[16] Troltenier, D.; Bahri, C.; Draayer, J. P., Nucl. Phys. A, 586, 53 (1995)
[17] Alhaidari, A. D.; Bahlouli, H.; Al-Hasan, A., Phys. Lett. A, 349, 87 (2006)
[18] Wei, G. F.; Dong, S. H., Eur. Phys. Lett., 87, 40004 (2009)
[19] Wei, G. F.; Dong, S. H., Phys. Lett. B, 686, 288 (2010)
[20] Moshinsky, M.; Szczepaniak, A., J. Phys. A: Math. Gen., 22, L817 (1989)
[21] Furnstahl, R. F.; Rusnak, J. J.; Serot, B. D., Nucl. Phys. A, 632, 607 (1998)
[22] Kukulin, V. I.; Loyola, G.; Moshinsky, M., Phys. Lett. A, 158, 19 (1991)
[23] Mao, G., Phys. Rev. C, 67, 044318 (2003)
[24] Lisboa, R.; Malheiro, M.; de Castro, A. S.; Alberto, P.; Fiolhais, M., Phys. Rev. C, 69, 0243319 (2004)
[25] Alberto, P.; Lisboa, R.; Malheiro, M.; de Castro, A. S., Phys. Rev. C, 71, 034313 (2005)
[26] Akcay, H., J. Phys. A: Math. Theor., 40, 6427 (2007) · Zbl 1113.81029
[27] Akcay, H., Phys. Lett. A, 373, 616 (2009)
[28] Ikhdair, Sameer M.; Sever, R., Appl. Math. Phys., 316, 545 (2010)
[29] Aydoğdu, O.; Sever, R., Few-Body Syst., 193 (2010)
[31] Bastard, G., Wave Mechanics Applied to Semiconductor Heterostructures (1998), Editions de Physique: Editions de Physique Les Ulis
[32] Serra, L. I.; Lipparini, E., Europhys. Lett., 40, 667 (1997)
[33] Barranco, M.; Pi, M.; Gatica, S. M.; Hernandez, E. S.; Navarro, J., Phys. Rev. B, 56, 8997 (1997)
[34] de Saavedra Arias, F.; Boronat, J.; Polls, A.; Fabrocini, A., Phys. Rev. B, 50, 4248 (1994)
[35] Von Roos, O., Phys. Rev. B, 27, 7547 (1983)
[36] Dekar, L.; Chetouani, L.; Hammann, T. F., J. Math. Phys., 39, 2551 (1998)
[37] Plastino, A. R.; Rigo, A.; Casas, M.; Garcias, F.; Plastino, A., Phys. Rev. A, 60, 4318 (1999)
[38] Ganguly, A.; Nieto, L. M., J. Phys. A, 40, 7265 (2007)
[39] Jia, C. S.; Liu, J. Y.; Wang, P. Q.; Che, C. S., Phys. Lett. A, 369, 274 (2007)
[40] Bagchi, B.
[41] Tanaka, T., J. Phys. A: Math. Gen., 39, 219 (2006)
[42] Dai, T. Q.; Cheng, Y. F., Phys. Scr., 79, 015007 (2009)
[43] Ikhdair, S. M., Eur. Phys. J. A, 40, 2, 143 (2009)
[44] Luttinger, J. M.; Kuhn, W., Phys. Rev., 97, 869 (1955)
[45] Alhaidari, A. D., Phys. Lett. A, 322, 72 (2004)
[46] Alhaidari, A. D., Phys. Rev. A, 66, 042116 (2002)
[47] Chen, R.
[48] Mustafa, O.; Mazharimousavi, S. H.
[49] Yu, J.; Dong, S. H., Phys. Lett. A, 325, 194 (2004)
[50] Yu, J.; Dong, S. H.; Sun, G. H., Phys. Lett. A, 322, 290 (2004)
[51] Champion, B.; Hall, Richard L.; Saad, N., Int. J. Mod. Phys. A, 23, 1405 (2008)
[52] Ciftci, H.; Hall, Richard L.; Saad, N., J. Phys. A: Math. Gen., 36, 11807 (2003)
[53] Fernandez, F. M., J. Phys. A: Math. Gen., 37, 6173 (2004)
[54] Ciftci, H.; Hall, Richard L.; Saad, N., J. Phys. A: Math. Gen., 38, 1147 (2005)
[55] Ciftci, H.; Hall, Richard L.; Saad, N., Phys. Lett. A, 340, 388 (2005) · Zbl 1145.34376
[56] Chen, C. Y., Phys. Lett. A, 339, 283 (2005)
[57] Aydoğdu, O.; Sever, R., Ann. Phys., 325, 373 (2010)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.