|
Solutions of the
N-dimensional
Klein-Gordon
Equation with
Ultra
Generalized
Exponential–Hyperbolic
Potential to
Predict the Mass
Spectra of Heavy
Mesons
Joseph E. Ntibib,
Etido P. Inyanga,
Ephraim P.
Inyangb,
Eddy S. Williamb
and Etebong E.
Ibekwec
a
Department of
Physics,
National Open
University of
Nigeria, Jabi,
Abuja, Nigeria.
b
Theoretical
Physics Group,
Department of
Physics,
University of
Calabar, P.M.B
1115 Calabar,
Nigeria.
c
Department of
Physics, Akwa
Ibom State
University, Ikot
Akpaden, P.M.B
1167, Uyo,
Nigeria.
Corresponding
Author:
E. P. Inyang
Email:
etidophysics@gmail.com
Doi: https://doi.org/10.47011/15.4.8
Cited by :
Jordan J. Phys.,
15 (4) (2022)
393-402
PDF
Received
on:
06/02/2021;
Accepted
on:
12/04/2021
Abstract:
We
solved
the
N-dimensional
Klein-Gordon
equation
analytically
using
the
Nikiforov-Uvarov
method
to
obtain
the
energy
eigenvalues
and the
corresponding
wave
function
in terms
of
Laguerre
polynomials
with the
ultra
generalized
exponential–hyperbolic
potential.
The
present
results
are
applied
for
calculating
the mass
spectra
of heavy
mesons,
such as
charmonium
()
and
bottomonium
(),
for
different
quantum
states.
The
present
work
provides
excellent
results
in
comparison
with
experimental
data
with a
maximum
error of
and the
works of
other
researchers.
Keywords:
Ultra
generalized
exponential–hyperbolic
potential,
Klein-Gordon
equation,
Heavy
mesons,
Nikiforov-Uvarov
method.
References
[1] Kumar, R.
and Chand, F.,
Commun. Theore.
Phys., 59
(2013) 456.
[2] Mutuk, H.,
Advan. in High
Energy Phys., 20
(2018) 653.
[3] Inyang,
E.P., Iwuji,
P.C., Ntibi,
J.E., Omugbe,
E., Ibanga, E.A.
and William,
E.S., East Eur.
J. Phys., 2
(2022) 51.
[4] Omugbe, E., Osafile, O.E., Okon, I.B., Inyang, E.P., William, E.S.
and Jahanshir,
A., Few-Body
Syst., 63 (2022)
7.
[5]
Inyang,E.P.
Obisung,E.O.,Iwuji,
P.C., Ntibi,
J.E., Amajama,
J. and William,
E.S.,J.Nig.Soc.Phys.Sci.,
4(2022)884.
[6]
Mocsy, A., The
Euro. Phys. J.,
61 (2009) 705.
[7] Ciftci, H.
and Kisoglu,
H.F., Adv. High
Energy Phys., 45
(2018) 497.
[8] Abu-Shady,
M., Abdel-Karim,
T.A. and Khokha,
E.M., J. of
Quantum Phys.,
45 (2018) 567.
[9] Hall, R.L.
and Saad, N.,
Open Phys., 13
(2015) 23.
[10] Abu-Shady,
M. and Ikot,
A.N., The Euro.
Phys. J.,
54 (2019) 134.
[11] Al-Jamel,
A., Int. J. Mod.
Physics, 34
(2019) 242.
[12] Mansour,
H. and Gamal,
A., Adv. High
Ener. Phys.,
65 (2018) 1234.
[13] Al-Oun,
A., Al-Jamel, A.
and Widyan, H.,
Jordan. J. Phys.,
8 (4)
(2015) 199.
[14] Abu-Shady,
M., Int. J.
Appl. Math.
Theor. Phys., 2
(2016) 16.
[15] Vega, A.
and Flores, J.,
Pramana J.
Phys., 87 (2016)
73.
[16] Edet, C.O.,
Mahmoud,
S., Inyang,
E.P., Ali,
N. S . ,
Aljunid, A.,
Endut, R.,
Ikot, A.N.
and Asjad
,M.,
Mathematics.,
10, (2022) 2824.
[17]
Al-Jamel, A. and
Widyan, H.,
Appl. Phys.
Research, 4
(2012) 57.
[18]
Ikot, A.N.,
Okorie, U.S.
Amadi, P.O.
Edet, C.O.,
Rampho, G.J. and
Sever, R.,
Few-Body Syst.,
62 (2021) 9.
[19]
Inyang , E.P.,
William, E.S.
Ntibi, J.E.,
Obu, J.A.,
Iwuji, P.C. and
Inyang, E.P.,
Can. J. Phys.,
100 (10) (2022)
473.
[20] Inyang, E.P., William, E.S., Omugbe, E.
et al., Revista
Mexicana de
Fisica,
68 (2022) 14.
[21]
Okoi, P.O.,
Edet, C.O.,
Magu, T.O. and
Inyang, E.P.,
Jordan J. Phys.,
15 (2022) 148.
[22]
Inyang, E.P. and
Obisung, E.O.,
East Eur. J.
Phys., 3
(2022) 32.
[23] William,
E.S., Inyang,
E.P., Akpan,
I.O., Obu, J.A.,
Nwachukwu, A.N.
and Inyang,
E.P., Indian J.
Phys., 96 (2022)
3461.
[24] Inyang,
E.P., Ayedun,
F., Ibanga, E.A.
et al., Results
in Physics, 43
(2022) 106075.
[25] Edet,
C.O., Okorie,
U.S., Ngiangia,
A.T. and Ikot,
A.N., Indian J.
Phys., 94
(2020) 423.
[26] Okoi,
P.O., Edet, C.O.
and Magu, T.O.,
Rev. Mex. Fis.,
66 (2020) 6.
[27] Inyang,
E.P., Ikot,
A.N., Inyang,
E.P., Akpan,
I.O., Ntibi,
J.E., Omugbe, E.
and William,
E.S., Result in
Physics, 43
(2022) 105754.
[28]
Inyang,
E.P.,
Inyang, E.P.,
William, E.S.
and Ibekwe,
E.E., Jordan. J.
Phys., 14 (2021)
345.
[29] Inyang,
E.P.,
Obisung, E.O.,
William,
E.S. and Okon,
I.B., East Eur.
J. Phys.,
3 (2022) 114.
[30] William,
E.S., Okon,
I.B., Ekerenam,
O.O., Akpan,
I.O., Ita, B.I.,
Inyang, E.P.,
Etim, I.P. and
Umoh, I.F.,
Intl. J. Quan.
Chem., 122
(2022) e26925.
[31] William,
E.S., Inyang,
E.P., Ntibi, J.E.,
Obu, J.A. and
Inyang, E.P.,
Jordan J. Phys.,
15 (2022) 193.
[32] Inyang, E.P.,
William, E.S.
and Obu, J.A.,
Rev. Mex. Fis.,
67 (2) (2021)
193.
[33] Akpan, I.O.,
Inyang, E.P.,
Inyang, E.P. and
William, E.S.,
Revista Mexicana
de Física, 67
(3) (2020) 482.
[34]
Inyang,
E.P.,William,
E.S., Obu, J.O.,
Ita, B.I.,
Inyang, E.P. and
Akpan,1.O., Mol.
Phys., 119
(2021) e1956615.
[35] Ibekwe, E.E.,
Okorie, U.S.,
Emah, J.B.
Inyang, E.P. and
Ekong, S.A., Eur.
Phys. J. Plus,
87 (2021)
136.
[36]
Inyang, E.P.,
Inyang, E.P.,
Akpan, I.O.,
Ntibi, J.E. and
William, E.S.,
The Euro. J.
Appl. Phys., 2
(2020) 26.
[37] Inyang,
E.P., Iwuji,
P.C., Ntibi, J.E.,
William, E.S.
and Ibanga,
E.A.,
East Eur. J.
Phys., 1 (2022)
11.
[38] Omugbe,
E., Osafile, O.E.,
Okon, I.B.,
Eyube, E.S.,
Inyang, E.P.,
Okorie, U.S.,
Jahanshir, A.
and Onate, C.A.,
Eur. Phys. J.
D., 76 (72)
(2022) 11.
[39] Omuge, E.,
Osafile, O.E.
and Onyeajh, M.C.,
Adv. High Ener.
Phys., 10 (2020)
1143.
[40] William,
E.S., Inyang,
E.P. and
Thompson, E.A.,
Rev. Mex. Fis.,
66 (2020) 730.
[41] Edet,
C.O.,
arXiv:2012.08644,
(2020).
[42] Deta, U.A.,
Suparmi, A. and
Cari, C., J.
Phys. Conf.
Ser., 539 (2014)
2018.
[43] Ikot, A.N.,
Ibanga, E.J.,
Awoga, O.A.,
Akpabio, L.E.
and Antia, A.D.,
J. Mod. Phys., 3
(2011) 1855.
[44] Parmar,
R.H., Few-Body
Syst., 61 (2020)
39.
[45] Inyang,
E.P., Inyang,
E.P., William,
E.S., Ibekwe,
E.E. and Akpan,
I.O., arXiv:
2012.10639,
(2020).
[46] Inyang, E.P.,
Inyang, E.P.,
Ntibi, J.E.,
Ibekwe, E.E. and
William, E.S.,
Ind. J. Phys.,
95 (2021) 2733.
[47] Inyang,
E.P., Inyang,
E.P., Akpan, I.O.,
Ntibi, J.E. and
William, E.S.,
Can. J. Phys.,
99 (2021) 990.
[48]
Abu-Shady, M.,
J. Egypt. Math.
Soc., 23
(2016) 4.
[49] Barnett,
R.M., Carone,
C.D., Groom, D.E.,
Trippe, T.G. and
Wohl, C.G.,
Phys. Rev. D, 92
(2012) 656.
[50] Tanabashi,
M., Carone,
C.D., Trippe,
T.G. and Wohl,
C.G., Phys. Rev.
D, 98 (2018)
548.
[51]
Nikiforov, A.F.
and Uvarov, V.B.,
"Mat. Phys.", A.
Jaffe (ed.),
(Germany:
Birkhauser
Verlag Basel,
1988) 317.
|
