Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential

Akaninyene Daniel Antia; Ita Okon Akpan; Akaninyene Okon Akankpo

doi:doi:10.11648/j.ijhep.20150204.12

| Peer-Reviewed

Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential

Akaninyene Daniel Antia, Ita Okon Akpan, Akaninyene Okon Akankpo

Published in International Journal of High Energy Physics (Volume 2, Issue 4)

Received: 12 June 2015 Accepted: 25 June 2015 Published: 25 July 2015

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

We employ the parametric generalization of Nikiforov-Uvarov method to obtain the bound state solutions the relativistic Klein-Gordon equation under equal scalar and vector modified Scarf II potential. The energy eigenvalues and the corresponding wave functions expressed in term of Jacobi polynomial are equally obtained. Our results will have many applications in many branches of physics especially nuclear physics where it could be used in describing nuclei interactions .For further guide to interested readers, we have also provided numerical data which discuses the energy spectra.

Published in	International Journal of High Energy Physics (Volume 2, Issue 4)
DOI	10.11648/j.ijhep.20150204.12
Page(s)	50-55
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Klein-Gordon Equation, Modified Scarf II Potential, Bound State Solution, Nikiforov-Uvarov Method

References

[1]	L. Z. Yi, Y. F. Diao, J. Y. Liu, C. S. Jia (2004). Phys.Lett. A. 333, 212.
[2]	G. F. Wei, C. Y. Long, Z. He, S. J. Qin and J.Zhao (2007). Phys. Scr. 76, 442.
[3]	X. C.Zhang, Q. W. Lia, C. S. Jia, L. Z. Wang (2005). Phys. Lett. A. 340, 59 .
[4]	W. A. Yahya, K. J. Oyewumi, C. O. Akoshile and T. T. Ibrahim (2010). J. Vect Relat. 5(3), 27.
[5]	A. D.Antia, A. N.Ikot, E. E.Ituen and I.O.Akpan (2012). Sri Lankan Journal of Physics 13(1), 27-40.
[6]	K. J. Oyewumi and C. O. Akoshile (2010). Eur. Phys. J. A 45, 311.
[7]	A. N. Ikot, L. E. Akpabio and E. J. Uwah (2011) EJTP, 25(8), 225-232.
[8]	A. N. Ikot, A. B. Udoimuk and L. E. Akpabio (2011). Am. J. Sci. Ind. Res. 2(2), 179-183.
[9]	H. Akcay, C. Tezcan (2009). Int. J. Mod. Phys C. 20(6), 931.
[10]	C. Berkdemi, A. Berkdemir and R. Sever (2006). J. Phys. A : Math Gen. 399, 13455.
[11]	A. desouza Dutra and M. Hott (2006). Phys Lett. A 356, 215.
[12]	S. Ikhdair and R. Sever (2008). Int. J. Mod. Phys C 19, 1425.
[13]	W.C. Qiang (2004). Chin. Phys. 13, 571.
[14]	W. C. Qiang (2003). Chin. Phys. 12, 1054.
[15]	A.D. Alhaidari (2001). J. Phys. A: Math. Gen. 34, 9827.
[16]	H. Ciftci, R. L. Hall and N. Saad (2003). J. Phys. A. 36, 11807.
[17]	C. S. Jia, P. Gao and X. L. Peng (2006). J. Phys. A. Math. Gen. 39, 7737.
[18]	Y. F. Cheng and T. Q. Dai (2007). Chin. J. Phys. 45, 480.
[19]	Y. F. Diao, L. Z. Yi and C. S. Jia (2004). Phys. Lett A 332, 157.
[20]	Y. Xu, S. He and C. S. Jia (2010). Phys Scr. 81, 045001.
[21]	C. S. Jia,T. Chen and L. G. Cui (2009). Phys Lett. A 373, 1621.
[22]	A. F. Nikiforov and V. B. Uvarov (1988). Special Functions of Mathematical Physics. (Basel, Birkhauser).
[23]	C. Tezcan and R. Sever (2008). Int. J. Theor. Phys 47, 1471.
[24]	W. C. Qiang and S. H. Dong (2008). Phys. Lett. A 372, 4789.
[25]	S. Flugge, Practical Quantum Mechanics (1974). (Springer, Berlin).
[26]	G. Levai (2011). Int. J. Theor. Phys. 50, 997.
[27]	R. I. Greene and C. Aldrich (1976). Phys. Rev. A 14, 2363.
[28]	A. N. Ikot, E. Maghsoodi, A. D. Antia, H. Hassanabadi and S. Zarrinkamar (2015). Arab. J. Sci. Eng. DOI 10.1007/s13369-015-1602-4.

Cite This Article

Plain Text BibTeX RIS

APA Style

Akaninyene Daniel Antia, Ita Okon Akpan, Akaninyene Okon Akankpo. (2015). Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential. International Journal of High Energy Physics, 2(4), 50-55. https://doi.org/10.11648/j.ijhep.20150204.12

Copy | Download

ACS Style

Akaninyene Daniel Antia; Ita Okon Akpan; Akaninyene Okon Akankpo. Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential. Int. J. High Energy Phys. 2015, 2(4), 50-55. doi: 10.11648/j.ijhep.20150204.12

Copy | Download

AMA Style

Akaninyene Daniel Antia, Ita Okon Akpan, Akaninyene Okon Akankpo. Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential. Int J High Energy Phys. 2015;2(4):50-55. doi: 10.11648/j.ijhep.20150204.12

Copy | Download

@article{10.11648/j.ijhep.20150204.12,
  author = {Akaninyene Daniel Antia and Ita Okon Akpan and Akaninyene Okon Akankpo},
  title = {Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential},
  journal = {International Journal of High Energy Physics},
  volume = {2},
  number = {4},
  pages = {50-55},
  doi = {10.11648/j.ijhep.20150204.12},
  url = {https://doi.org/10.11648/j.ijhep.20150204.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20150204.12},
  abstract = {We employ the parametric generalization of Nikiforov-Uvarov method to obtain the bound state solutions the relativistic Klein-Gordon equation under equal scalar and vector modified Scarf II potential. The energy eigenvalues and the corresponding wave functions expressed in term of Jacobi polynomial are equally obtained. Our results will have many applications in many branches of physics especially nuclear physics where it could be used in describing nuclei interactions .For further guide to interested readers, we have also provided numerical data which discuses the energy spectra.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential
AU  - Akaninyene Daniel Antia
AU  - Ita Okon Akpan
AU  - Akaninyene Okon Akankpo
Y1  - 2015/07/25
PY  - 2015
N1  - https://doi.org/10.11648/j.ijhep.20150204.12
DO  - 10.11648/j.ijhep.20150204.12
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 50
EP  - 55
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.20150204.12
AB  - We employ the parametric generalization of Nikiforov-Uvarov method to obtain the bound state solutions the relativistic Klein-Gordon equation under equal scalar and vector modified Scarf II potential. The energy eigenvalues and the corresponding wave functions expressed in term of Jacobi polynomial are equally obtained. Our results will have many applications in many branches of physics especially nuclear physics where it could be used in describing nuclei interactions .For further guide to interested readers, we have also provided numerical data which discuses the energy spectra.
VL  - 2
IS  - 4
ER  -

Copy | Download

Author Information

Akaninyene Daniel Antia

Department of Physics, Faculty of Science, University of Uyo, Uyo, Akwa Ibom State, Nigeria
Ita Okon Akpan

Department of Physics, Faculty of Science, University of Calabar, Calabar, Cross Rivers State, Nigeria
Akaninyene Okon Akankpo

Department of Physics, Faculty of Science, University of Uyo, Uyo, Akwa Ibom State, Nigeria

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Akaninyene Daniel Antia, Ita Okon Akpan, Akaninyene Okon Akankpo. (2015). Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential. International Journal of High Energy Physics, 2(4), 50-55. https://doi.org/10.11648/j.ijhep.20150204.12

Copy | Download

ACS Style

Akaninyene Daniel Antia; Ita Okon Akpan; Akaninyene Okon Akankpo. Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential. Int. J. High Energy Phys. 2015, 2(4), 50-55. doi: 10.11648/j.ijhep.20150204.12

Copy | Download

AMA Style

Akaninyene Daniel Antia, Ita Okon Akpan, Akaninyene Okon Akankpo. Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential. Int J High Energy Phys. 2015;2(4):50-55. doi: 10.11648/j.ijhep.20150204.12

Copy | Download

@article{10.11648/j.ijhep.20150204.12,
  author = {Akaninyene Daniel Antia and Ita Okon Akpan and Akaninyene Okon Akankpo},
  title = {Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential},
  journal = {International Journal of High Energy Physics},
  volume = {2},
  number = {4},
  pages = {50-55},
  doi = {10.11648/j.ijhep.20150204.12},
  url = {https://doi.org/10.11648/j.ijhep.20150204.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijhep.20150204.12},
  abstract = {We employ the parametric generalization of Nikiforov-Uvarov method to obtain the bound state solutions the relativistic Klein-Gordon equation under equal scalar and vector modified Scarf II potential. The energy eigenvalues and the corresponding wave functions expressed in term of Jacobi polynomial are equally obtained. Our results will have many applications in many branches of physics especially nuclear physics where it could be used in describing nuclei interactions .For further guide to interested readers, we have also provided numerical data which discuses the energy spectra.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Relativistic Treatment of Spinless Particles Subject to Modified Scarf II Potential
AU  - Akaninyene Daniel Antia
AU  - Ita Okon Akpan
AU  - Akaninyene Okon Akankpo
Y1  - 2015/07/25
PY  - 2015
N1  - https://doi.org/10.11648/j.ijhep.20150204.12
DO  - 10.11648/j.ijhep.20150204.12
T2  - International Journal of High Energy Physics
JF  - International Journal of High Energy Physics
JO  - International Journal of High Energy Physics
SP  - 50
EP  - 55
PB  - Science Publishing Group
SN  - 2376-7448
UR  - https://doi.org/10.11648/j.ijhep.20150204.12
AB  - We employ the parametric generalization of Nikiforov-Uvarov method to obtain the bound state solutions the relativistic Klein-Gordon equation under equal scalar and vector modified Scarf II potential. The energy eigenvalues and the corresponding wave functions expressed in term of Jacobi polynomial are equally obtained. Our results will have many applications in many branches of physics especially nuclear physics where it could be used in describing nuclei interactions .For further guide to interested readers, we have also provided numerical data which discuses the energy spectra.
VL  - 2
IS  - 4
ER  -

Copy | Download