The hydrogen like wave function has been used for computation of the mass spectrum and decay properties of charmonium within the framework of phenomenological quark antiquark coulomb plus power potential model. Potential interaction index ν is varied from 0.5 to 2.0. The spin-spin hyperfine interaction in considered to incorporate splitting of the ground and excited state energy levels. Further, spin-orbit and tensor interactions computed for excited states. Using the extracted normalized reduced wave function, the decay constant and digluon decay widths have been calculated.
REFERENCES
1.
C.
McNeile
, C. T. H.
Davies
, E.
Follana
, K.
Hornbostel
, and G. P.
Lepage
, Phys. Rev.
D86
, p. 074503
(2012
), arXiv:1207.0994 [hep-lat].2.
J.
Gasser
and H.
Leutwyler
, Annals Phys.
158
, p. 142
(1984
).3.
4.
E. V.
Veliev
, K.
Azizi
, H.
Sundu
, and N.
Aksit
, J. Phys.
G39
, p. 015002
(2012
), arXiv:1010.3110 [hep-ph].5.
G. T.
Bodwin
, E.
Braaten
, and G. P.
Lepage
, Phys. Rev.
D51
, 1125
–1171
(1995
),G. T.
Bodwin
, E.
Braaten
, and G. P.
Lepage
, Phys. Rev.
D55
, 5853
(1997
)], arXiv:hep-ph/9407339 [hep-ph].6.
C. H.
Llewellyn-Smith
, Annals Phys.
53
, 521
–558
(1969
).7.
8.
R.
Ricken
, M.
Koll
, D.
Merten
, B. C.
Metsch
, and H. R.
Petry
, Eur. Phys. J.
A9
, 221
–244
(2000
), arXiv:hep-ph/0008221 [hep-ph].9.
A. N.
Mitra
and S.
Bhatnagar
, Int. J. Mod. Phys.
A7
, 121
–134
(1992
).10.
P. C.
Vinodkumar
, J. N.
Pandya
, V. M.
Bannur
, and S. B.
Khadkikar
, Eur. Phys. J.
A4
, 83
–90
(1999
).11.
J. N.
Pandya
and P. C.
Vinodkumar
, Pramana
57
, 821
–827
(2001
).12.
A. Kumar
Rai
, P. C.
Vinodkumar
, and J. N.
Pandya
, J. Phys.
G31
, 1453
–1464
(2005
).13.
A. K.
Rai
, J. N.
Pandya
, and P. C.
Vinodkumar
, Indian J. Phys.
A80
, 387
–392
(2006
), arXiv:hep-ph/0603008 [hep-ph].14.
A. K.
Rai
, J. N.
Pandya
, and P. C.
Vinodkummar
, Perspectives in hadronic physics. Proceedings, 5th International Conference on perspectives in hadronic physics, particle-nucleus and nucleus-nucleus scattering at relativistic energies, Trieste, Italy, May 22-26, 2006
, Nucl. Phys.
A782
, 406
–409
(2007
), arXiv:hep-ph/0612244 [hep-ph].15.
J. N.
Pandya
, A. K.
Rai
, and P. C.
Vinodkumar
, Proceedings, 12th International Conference on Hadron spectroscopy (Hadron 2007): Frascati, Italy, October 7-13, 2007
, Frascati Phys. Ser.
46
, 1519
–1522
(2007
), arXiv:0808.1077 [hep-ph].16.
P. C.
Vinodkumar
, A. K.
Rai
, B.
Patel
, and J.
Pandya
, Proceedings, 12th International Conference on Hadron spectroscopy (Hadron 2007): Frascati, Italy, October 7-13, 2007
, Frascati Phys. Ser.
46
, 929
–936
(2007
), arXiv:0808.1776 [hep-ph].17.
A. K.
Rai
, J. N.
Pandya
, and P. C.
Vinodkumar
, Eur. Phys. J.
A38
, 77
–84
(2008
), arXiv:0901.1546 [hep-ph].18.
J. N.
Pandya
, N. R.
Soni
, N.
Devlani
, and A. K.
Rai
, Chin. Phys.
C39
, p. 123101
(2015
), arXiv:1412.7249 [hep-ph].19.
R.
Chaturvedi
and A. Kumar
Rai
, Eur. Phys. J. Plus
133
, p. 220
(2018
).20.
N. R.
Soni
, B. R.
Joshi
, R. P.
Shah
, H. R.
Chauhan
, and J. N.
Pandya
, Eur. Phys. J.
C78
, p. 592
(2018
), arXiv:1707.07144 [hep-ph].21.
N. R.
Soni
and J. N.
Pandya
, Proceedings, 58th DAE Symposium on Nuclear Physics: Mumbai, India, December 26, 2013
, DAE Symp. Nucl. Phys.
58
, 674
–675
(2013
).22.
23.
C.
Hohne
et al, Lect. Notes Phys.
814
, 849
–972
(2011
).24.
A. K.
Rai
, B.
Patel
, and P. C.
Vinodkumar
, Phys. Rev. C
78
, p. 055202
(2008
), arXiv:0901.3917 [hep-ph].25.
26.
N.
Devlani
, V.
Kher
, and A. K.
Rai
, Eur. Phys. J.
A50
, p. 154
(2014
).27.
R.
Chaturvedi
, N. R.
Soni
, J. N.
Pandya
, and A. K.
Rai
, Proceedings, 63rd DAE-BRNS Symposium on Nuclear Physics: Mumbai, Maharashtra, India, December 10-14, 2018
, DAE Symp. Nucl. Phys.
63
, 834
–835
(2018
).28.
R.
Chaturvedi
and A. K.
Rai
, Proceedings, 2nd International Conference on Condensed Matter and Applied Physics (ICC 2017): Bikaner, India, November 24-25, 2017
, AIP Conf. Proc.
1953
, p. 140062
(2018
).29.
30.
31.
W. M.
Yao
et al (Particle Data Group
), J. Phys.
G33
, 1
–1232
(2006
).32.
33.
34.
35.
C.
Patrignani
et al (Particle Data Group
), Chin. Phys.
C40
, p. 100001
(2016
).36.
A.
Parmar
, B.
Patel
, and P. C.
Vinodkumar
, Nucl. Phys.
A848
, p. 299
(2010
), arXiv:1001.0848 [hep-ph].37.
A.
Petrelli
, M.
Cacciari
, M.
Greco
, F.
Maltoni
, and M. L.
Mangano
, Nucl. Phys.
B514
, 245
–309
(1998
), arXiv:hep-ph/9707223 [hep-ph].38.
S. N.
Gupta
, J. M.
Johnson
, and W. W.
Repko
, Phys. Rev.
D54
, 2075
–2080
(1996
), arXiv:hep-ph/9606349 [hep-ph].39.
H.-W.
Huang
, C.-F.
Qiao
, and K.-T.
Chao
, Phys. Rev.
D54
, 2123
–2131
(1996
), arXiv:hep-ph/9601380 [hep-ph].40.
41.
This content is only available via PDF.
© 2020 Author(s).
2020
Author(s)
You do not currently have access to this content.
