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The effect of spin and tensor interactions on heavy–light mesons in the nonrelativistic quark model

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A Comment to this article was published on 18 July 2020

Abstract

By using analytical exact iteration method (AEIM), the N-radial Schrödinger equation is analytically solved. The present potential is extended to include the spin hyperfine interaction, spin–orbit interaction, and tensor interaction. The eigenvalues of energy and corresponding wave functions are obtained in the N-dimensional space. The present results are applied for calculating the spectra masses of the heavy–light mesons (HLM) such as D, \(D_\mathrm{s}\), B, and \(B_\mathrm{s}\) meson in the three-dimensional space. The effect of dimensional number is studied on the HLM masses. A comparison is studied with other recent works and experimental data. The present potential provides satisfying results in comparison with recent other works and experimental data.

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References

  1. G. Levai, J. Phys. A 25, L521 (1992)

    ADS  Google Scholar 

  2. L. Gendeshtein, Zh Eksp, Teor. Fiz. Red. 38, 299 (1983)

    Google Scholar 

  3. P.M. Dirac, Quantum Mechanics (Clarendon Press, Oxford, 1930)

    MATH  Google Scholar 

  4. L. Infed, T.E. Hull, Rev. Mod. Phys. 23, 21 (1951)

    ADS  Google Scholar 

  5. S.A. Nuovo, Cimento B 104, 447 (1989)

    Google Scholar 

  6. D. Lange, O.L. Raab et al., Operator Methods in Quantum Mechanics (Clarendon Press, Oxford, 1991)

    Google Scholar 

  7. F.Cooper Khare, A. Sukhatme, U. Phys. Rept. 215, 267 (1967)

    Google Scholar 

  8. R.M. Edelstein, K.S. Govinder, F.M. Mahomed et al., J. Phys. A 34, 1141 (2001)

    ADS  MathSciNet  Google Scholar 

  9. H. Ciftci, R.L. Hall, N. Saad, J. Phys. A 36, 11807 (2003)

    ADS  MathSciNet  Google Scholar 

  10. H. Ciftci, R.L. Hall, N. Saad, J. Phys. A 38, 1147 (2005)

    ADS  MathSciNet  Google Scholar 

  11. T. Barakat, Phys. Lett. A 344, 411 (2005)

    ADS  MathSciNet  Google Scholar 

  12. F.M. Fndez, J. Phys. A 37, 6173 (2004)

    ADS  MathSciNet  Google Scholar 

  13. T. Barakat, K. Abodayeh, B. Abdallah, O.M. Al-Dossary, Can. J. Phys. 84, 291 (2006)

    Google Scholar 

  14. H. Mutuk, Adv. High. Energy Phys. 2018, 5961031 (2018)

    Google Scholar 

  15. H. Ciftci, H.F. Kisoglu, Adv. High. Energ. Phys. 7 ID 4549705 (2018)

  16. N. Devlani, V. Kher, A.K. Rai, Eur. Phys. J. A 50, 154 (2014)

    ADS  Google Scholar 

  17. V. Kher, N. Devlani, A. Kumar Rai, Chin. Phys. C 9, 41 (2017)

    Google Scholar 

  18. V. Kher, A. Kumar Rai, Chin. Phys. C 42, 8 (2018)

    Google Scholar 

  19. V. Kher, N. Devlan, A. Kumar Rai, arXiv:1704.00439 [hep-lat] (2017)

  20. V.H. Kher, A. Kumar Rai, J. Phys. Conf. Ser. 934, 012036 (2017)

    Google Scholar 

  21. V.H. Kher, N. Devlani, A. Kumar Rai, EPJ. Web. Conf 95, 05005 (2015)

    Google Scholar 

  22. M. Abu-Shady, E. M. Khokha, Adv. High, Energ. Phys. ID 7032041, 12 (2018)

  23. S.M. Kuchin, N.V. Maksimenko, Univ. J. Phys. Appl. 3, 295 (2013)

    Google Scholar 

  24. N.B. Devlani, V.H. Kher, A. Kumar Rai, Proc. DAE. Symp. Nucl. Phys. 62, 5 (2017)

    Google Scholar 

  25. V. Kher, N. Devlani, A. Rai, EPJ Web of Conferences 05005 (2015)

  26. J. Liu, C. Lu, Eur. Phys. J. C 77, 312 (2017)

    ADS  Google Scholar 

  27. D. Ebert, arXiv:hep-ph/0210381 (2003)

  28. H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, H. Rahimov, Adv. High. Ener. Phys. 707041 (2012)

  29. H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, Ann. Phys. 525, 944 (2013)

    MathSciNet  Google Scholar 

  30. H. Hassanabadi, H. Rahimov, S. Zarrinkamar, Ann. Phys. 523, 566 (2011)

    MathSciNet  Google Scholar 

  31. H. Hassanabadi, E. Maghsoodi, S. Zarrinkamar, Few-Body Syst. 53, 271 (2012)

    ADS  Google Scholar 

  32. H. Hassanabadi, M. Ghafourian, S. Rahmani, Few-Body Syst. 57, 249 (2016)

    ADS  Google Scholar 

  33. L.L. Lu, B.H. Yazarloo, S. Zarrinkamar, G. Liu, H. Hassanabad, Few-Body Syst. 53, 573 (2012)

    ADS  Google Scholar 

  34. M. Abu-Shady, T.A. Abdel-Karim, ShY Ezz-Alarab, J. Egypt. Math. Soc. 27, 14 (2019)

    Google Scholar 

  35. V. Lengyel, Y. Fekete, I. Haysak, A. Shpenik, Eur. Phys. J. C 21, 355 (2001)

    ADS  Google Scholar 

  36. W. Lucha, F. Schoberl, D. Gromes, Phys. Rep. 4, 200 (1991)

    Google Scholar 

  37. M. Abu-Shady, ShY Ezz-Alarab, Few- Body Syst. 60, 66 (2019)

    ADS  Google Scholar 

  38. H. Hassanabadi, M. Ghafourian, S. Rahmani, Few-Body Syst. 57, 249 (2016)

    ADS  Google Scholar 

  39. J.B. Liu, C.D. Lu, Eur. Phys. J. C 77, 312 (2017)

    ADS  Google Scholar 

  40. J.B. Liu, M.Z. Yang, Chin. Phys. C 40, 073101 (2016)

    ADS  Google Scholar 

  41. V. Kher, N. Devlani, A. Kumar, A.K. Rai, Chin. Phys. C 9(41), 093101 (2017)

    ADS  Google Scholar 

  42. V. Kher, N. Devlani, A.K. Rai, Chin. Phys. C 7(41), 073101 (2017)

    ADS  Google Scholar 

  43. B.H. Yazarloo, H. Mehraban, Eur. Phys. 115, 21002 (2016)

    Google Scholar 

  44. B.H. Yazarloo, H. Mehraban, Eur. Phys. J. 116, 31004 (2016)

    Google Scholar 

  45. C. Patrignani et al., Chin. Phys. C 40, 100001 (2016)

    ADS  Google Scholar 

  46. S. Godfrey, K. Moats, Phys. Rev. D 93, 034035 (2016)

    ADS  Google Scholar 

  47. Y. Sun, Q.T. Song, D.Y. Chen, X. Liu, S.L. Zhu, Phys. Rev. D 89, 054026 (2014)

    ADS  Google Scholar 

  48. D. Jiaa, W.C. Dong, Eur. Phys. J. Plus 134 (2019)

  49. D. Ebert, R. Faustov, V. Galkin, Eur. Phys. J. C 66, 197 (2010)

    ADS  Google Scholar 

  50. N. Devlani, A.K. Rai, Eur. Phys. J. A 48, 104 (2012)

    ADS  Google Scholar 

  51. N. Devlanil, Virendrasinh, H. Kher, A. Kumar Rai, EPJ. Web. Conf 95, 05006 (2015)

  52. N. Devlani, A. Rai, Eur. Phys. J. A 48, 104 (2012)

    ADS  Google Scholar 

  53. T. Lahde, C. Nyfalt, D. Riska, Nucl. Phys. A 674, 141 (2000)

    ADS  Google Scholar 

  54. W. Lucha, F. F. Schöberl. arXiv:hep-ph/0309341. 30 Sep (2003)

  55. B.H. Yazarloo, H. Mehraban, Eur. Phys. J. 115, 2 (2016)

    Google Scholar 

  56. S. Roy, D.K. Choudhury, Can. J. Phys. 94, 1282 (2016)

    ADS  Google Scholar 

  57. B.H. Yazarloo, H. Mehraban, Eur. Phys. J. 116, 31004 (2016)

    Google Scholar 

  58. A.K. Rai, B. Patel, P.C. Vinodkumar, arXiv:0810.1832 [hep-lat] (2008)

Download references

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Abu-Shady, M., Ezz-Alarab, S.Y. The effect of spin and tensor interactions on heavy–light mesons in the nonrelativistic quark model. Eur. Phys. J. Plus 135, 303 (2020). https://doi.org/10.1140/epjp/s13360-020-00295-x

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00295-x

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