Search
This Journal
This Journal
Anywhere
Quick Search in Journals
Enter words / phrases / DOI / ISBN / keywords / authors / etc
Access type:Only show content I have full access toOnly show Open Access
Advanced Search
0 My Cart
Sign in
Institutional Access

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Research PapersNo Access

SPIN AND PSEUDOSPIN SYMMETRIES IN RELATIVISTIC TRIGONOMETRIC PÖSCHL–TELLER POTENTIAL WITH CENTRIFUGAL BARRIER

Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

Corresponding author.

Search for more papers by this author

,

Physics Department, Near East University, 922022 Nicosia, North Cyprus, Mersin 10, Turkey

Search for more papers by this author

, and

KTH-Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden

Search for more papers by this author

https://doi.org/10.1142/S0218301312500978Cited by:10 (Source: Crossref)

Abstract

Approximate analytical solutions of the Dirac equation with the trigonometric Pöschl–Teller (tPT) potential are obtained for arbitrary spin-orbit quantum number κ using an approximation scheme to deal with the spin-orbit coupling terms κ(κ±1)r^-2. In the presence of exact spin and pseudo-spin (p-spin) symmetric limitation, the bound state energy eigenvalues and the corresponding two-component wave functions of the Dirac particle moving in the field of attractive and repulsive tPT potential are obtained using the parametric generalization of the Nikiforov–Uvarov (NU) method. The case of nonrelativistic limit is studied too.

Keywords:

PACS: 03.65.Ge, 03.65.Fd, 03.65.Pm, 02.30.Gp, 21.90.+f

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

J. N. Ginocchio, Phys. Rep. 414, 165 (2005), DOI: 10.1016/j.physrep.2005.04.003. Web of Science, ADS, Google Scholar
A. Bohr, I. Hamamoto and B. R. Mottelson, Phys. Scripta 26, 267 (1982), DOI: 10.1088/0031-8949/26/4/003. Web of Science, ADS, Google Scholar
J. Dudeket al., Phys. Rev. Lett. 59, 1405 (1987), DOI: 10.1103/PhysRevLett.59.1405. Web of Science, ADS, Google Scholar
D. Troltenier, C. Bahri and J. P. Draayer, Nucl. Phys. A 586, 53 (1995), DOI: 10.1016/0375-9474(94)00518-R. Web of Science, ADS, Google Scholar
P. R. Page, T. Goldman and J. N. Ginocchio, Phys. Rev. Lett. 86, 204 (2001), DOI: 10.1103/PhysRevLett.86.204. Web of Science, ADS, Google Scholar
J. N. Ginocchioet al., Phys. Rev. C 69, 034303 (2004), DOI: 10.1103/PhysRevC.69.034303. Web of Science, Google Scholar
J. N. Ginocchio, Phys. Rev. Lett. 78, 436 (1997), DOI: 10.1103/PhysRevLett.78.436. Web of Science, ADS, Google Scholar
K. T. Hecht and A. Adler, Nucl. Phys. A 137, 129 (1969), DOI: 10.1016/0375-9474(69)90077-3. Web of Science, ADS, Google Scholar
A. Arima, M. Harvey and K. Shimizu, Phys. Lett. B 30, 517 (1969), DOI: 10.1016/0370-2693(69)90443-2. Web of Science, ADS, Google Scholar
S. G. Zhou, J. Meng and P. Ring, Phys. Rev. Lett. 91, 262501 (2003), DOI: 10.1103/PhysRevLett.91.262501. Web of Science, ADS, Google Scholar
X. T. Heet al., Eur. Phys. J. A 28, 265 (2006), DOI: 10.1140/epja/i2006-10066-0. Web of Science, ADS, Google Scholar
H. Lianget al., Phys. Rev. C 83, 041301 (2011), DOI: 10.1103/PhysRevC.83.041301. Web of Science, Google Scholar
J.-Y. Guo, Phys. Rev. C 85, 021302 (2012), DOI: 10.1103/PhysRevC.85.021302. Web of Science, Google Scholar
S.-W. Chen and J.-Y. Guo, Phys. Rev. C 85, 054312 (2012), DOI: 10.1103/PhysRevC.85.054312. Web of Science, Google Scholar
B.-N. Lu, E.-G. Zhao and S.-G. Zhou, Phys. Rev. Lett. 109, 072501 (2012), DOI: 10.1103/PhysRevLett.109.072501. Web of Science, Google Scholar
G. Pöschl and E. Teller, Z. Phys. 83, 143 (1933), DOI: 10.1007/BF01331132. ADS, Google Scholar
G. Chen, Acta Phys. Sin. (China) 50, 1651 (2001). Web of Science, Google Scholar
M. C. Zhang and Z. B. Wang, Acta Phys. Sin. (China) 55, 0525 (2006). Web of Science, Google Scholar
X. Y. Liuet al., Int. J. Theor. Phys. 49, 343 (2010), DOI: 10.1007/s10773-009-0207-7. Web of Science, ADS, Google Scholar
N. Candemir, Int. J. Mod. Phys. E 21, 1250060 (2012), DOI: 10.1142/S0218301312500607. Link, Google Scholar
M. Hamzavi and A. A. Rajabi, Int. J. Quantum Chem. 112, 1592 (2011), DOI: 10.1002/qua.23166. Web of Science, Google Scholar
S. M. Ikhdair and R. Sever, J. Math. Chem. 45, 1137 (2009), DOI: 10.1007/s10910-008-9438-8. Web of Science, Google Scholar
A. Durmus, J. Phys. A: Math. Theor. 44, 155205 (2011), DOI: 10.1088/1751-8113/44/15/155205. Web of Science, ADS, Google Scholar
G. Simons, R. G. Parr and J. M. Finlan, J. Chem. Phys. 59, 3229 (1973), DOI: 10.1063/1.1680464. Web of Science, ADS, Google Scholar
M. Molski and J. Konarski, Phys. Rev. A 47, 711 (1993), DOI: 10.1103/PhysRevA.47.711. Web of Science, ADS, Google Scholar
A. Kratzer, Z. Phys. 3, 289 (1920), DOI: 10.1007/BF01327754. ADS, Google Scholar
S. M. Ikhdair, Int. J. Mod. Phys. C 20, 1563 (2009), DOI: 10.1142/S0129183109014606. Link, Web of Science, ADS, Google Scholar
A. F. Nikiforov and V. B. Uvarov , Special Functions of Mathematical Physics ( Birkhausr , Berlin , 1988 ) . Google Scholar
F. Yaşuk, C. Berkdemir and A. Berkdemir, J. Phys. A: Math. Gen. 38, 6579 (2005), DOI: 10.1088/0305-4470/38/29/012. ADS, Google Scholar
M. R. Setare and S. Haidari, Phys. Scripta 81, 015201 (2010), DOI: 10.1088/0031-8949/81/01/015201. Web of Science, Google Scholar
S. M. Ikhdair and R. Sever, J. Math. Chem. 42, 461 (2006), DOI: 10.1007/s10910-006-9115-8. Web of Science, Google Scholar
M. G. Miranda, G. H. Sun and S. H. Dong, Int. J. Mod. Phys. E 19, 123 (2010), DOI: 10.1142/S0218301310014704. Link, ADS, Google Scholar
M. Hamzavi, A. A. Rajabi and H. Hassanabadi, Z. Naturforsch. A 66, 533 (2011). Web of Science, ADS, Google Scholar
M. Hamzavi, H. Hassanabadi and A. A. Rajabi, Int. J. Mod. Phys. E 19, 2189 (2010), DOI: 10.1142/S0218301310016594. Link, ADS, Google Scholar
M. Hamzavi, H. Hassanabadi and A. A. Rajabi, Int. J. Theor. Phys. 50, 454 (2011), DOI: 10.1007/s10773-010-0552-6. Web of Science, Google Scholar
S. M. Ikhdair and R. Sever, Int. J. Mod. Phys. A 25, 3941 (2010), DOI: 10.1142/S0217751X10050160. Link, Web of Science, ADS, Google Scholar
S. M. Ikhdair and J. Abu-Hasna, Phys. Scripta 83, 025002 (2011), DOI: 10.1088/0031-8949/83/02/025002. Web of Science, Google Scholar
Y. F. Cheng and T. Q. Dai, Phys. Scripta 75, 274 (2007), DOI: 10.1088/0031-8949/75/3/008. Web of Science, Google Scholar
S. M. Ikhdair and R. Sever, Ann. Phys. (Berlin) 16, 218 (2007), DOI: 10.1002/andp.200610232. Web of Science, ADS, Google Scholar
M. Aktaş and R. Sever, J. Mol. Struct., Theochem 710, 223 (2004), DOI: 10.1016/j.theochem.2004.09.011. Web of Science, Google Scholar
M. Şimşek and H. Eǧrifes, J. Phys. A: Math. Gen. 37, 4379 (2004). ADS, Google Scholar
S. M. Ikhdair and R. Sever, Int. J. Mod. Phys. C 19, 1425 (2008), DOI: 10.1142/S0129183108012923. Link, Web of Science, ADS, Google Scholar
H. Eǧrifes and R. Sever, Int. J. Theor. Phys. 46, 935 (2007). Web of Science, Google Scholar
S. M. Ikhdair and R. Sever, Phys. Scripta 79, 035002 (2009), DOI: 10.1088/0031-8949/79/03/035002. Web of Science, Google Scholar
S. M. Ikhdair, J. Quantum Infor. Sci. 1, 73 (2011), DOI: 10.4236/jqis.2011.12011. Web of Science, Google Scholar
N. Saad, Phys. Scripta 76, 623 (2007), DOI: 10.1088/0031-8949/76/6/005. Web of Science, ADS, Google Scholar
M. Hamzavi, A. A. Rajabiand and H. Hassanabadi, Few-Body Syst. 48, 171 (2010), DOI: 10.1007/s00601-010-0095-7. Web of Science, ADS, Google Scholar
M. Hamzavi, A. A. Rajabi and H. Hassanabadi, Phys. Lett. A 374, 4303 (2010), DOI: 10.1016/j.physleta.2010.08.065. Web of Science, ADS, Google Scholar
M. Hamzavi, A. A. Rajabi and H. Hassanabadi, Int. J. Mod. Phys. A 26, 1363 (2011), DOI: 10.1142/S0217751X11052852. Link, Web of Science, ADS, Google Scholar
S. M. Ikhdair and R. Sever, Cent. Eur. J. Phys. 8, 665 (2010), DOI: 10.2478/s11534-009-0118-5. Web of Science, Google Scholar
S. M. Ikhdair and R. Sever, J. Math. Phys. 52, 122108 (2011), DOI: 10.1063/1.3671640. Web of Science, ADS, Google Scholar
S. M. Ikhdair and R. Sever, Appl. Math. Comput. 218, 10082 (2012), DOI: 10.1016/j.amc.2012.03.073. Web of Science, Google Scholar
W. Greiner , Wave Equations , 3rd edn. ( Springer , 2000 ) . Google Scholar
S. M. Ikhdair and M. Hamzavi, Phys. Scripta 86, 045002 (2012), DOI: 10.1088/0031-8949/86/04/045002. Web of Science, Google Scholar
S. M. Ikhdair, J. Math. Phys. 51, 023525 (2010), DOI: 10.1063/1.3293759. Web of Science, Google Scholar
J. N. Ginocchio, Phys. Rep. 315, 231 (1999), DOI: 10.1016/S0370-1573(99)00021-6. Web of Science, ADS, Google Scholar
J. Menget al., Phys. Rev. C 59, 154 (1999), DOI: 10.1103/PhysRevC.59.154. Web of Science, ADS, Google Scholar
J. Menget al., Phys. Rev. C 58, R628 (1998), DOI: 10.1103/PhysRevC.58.R628. Web of Science, ADS, Google Scholar
S. M. Ikhdair and R. Sever, J. Phys. A: Math. Theor. 44, 355301 (2011), DOI: 10.1088/1751-8113/44/35/355301. Web of Science, Google Scholar
H. J. Korsch and H. Laurent, J. Phys. B: At. Mol. Phys. 14, 4213 (1981), DOI: 10.1088/0022-3700/14/22/008. Web of Science, ADS, Google Scholar
T. Yanoet al., J. Comp. Appl. Math. 152, 597 (2003), DOI: 10.1016/S0377-0427(02)00732-X. Web of Science, Google Scholar
K.-E. Thylwe, J. Phys. A: Math. Gen. 37, L589 (2004), DOI: 10.1088/0305-4470/37/44/L07. Google Scholar
K.-E. Thylwe, Eur. Phys. J. D 54, 591 (2009), DOI: 10.1140/epjd/e2009-00203-9. Web of Science, ADS, Google Scholar
S. M. Ikhdair, Cent. Eur. J. Phys. 10, 361 (2012), DOI: 10.2478/s11534-011-0121-5. Web of Science, Google Scholar
M. Hamzavi and S. M. Ikhdair, Mol. Phys. (2012), doi:10.1080/00268976.2012.695029. Google Scholar

Journal cover image

Vol. 21, No. 12

Metrics

Downloaded 41 times

History

Received 8 August 2012

Revised 24 September 2012

Accepted 11 October 2012

Published: 4 December 2012

Keywords