Thermal Properties and Mass Spectra of Heavy Mesons in the Presence of a Point-Like Defect
Abstract
In this research, the radial Schr¨odinger equation is solved analytically using the Nikiforov-Uvarov method with the Cornell potential. The energy spectrum and the corresponding wave function are obtained in close form. The effect of Topological Defect on the thermal properties and mass spectra of heavy mesons such as charmonium and bottomonium are studied with the obtained energy spectrum. It is found that the presence of the Topological Defect increases the mass spectra and moves the values close to the experimental data. Our results agreed with the experimental data and are seen to be improved when compared with other works.
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E.P. Inyang, E.S. William, J.O. Obu, B.I. Ita, E.P. Inyang, and I.O. Akpan, “Energy spectra and expectation values of selected diatomic molecules through the solutions of Klein-Gordon equation with Eckart-Hellmann potential model,” Molecular Physics. 119(23), e1956615 (2021). https://doi.org/10.1080/00268976.2021.1956615
E. Omugbe, O.E. Osafile, I.B. Okon, E.P. Inyang, E.S. William, and A. Jahanshir, “Any L-state energy of the spinless Salpeter equation under the Cornell potential by the WKB Approximation method: An Application to mass spectra of mesons,” Few-Body Systems, 63, 7 (2022). https://doi.org/10.1007/s00601-021-01705-1
E.P. Inyang, E. Omugbe, M. Abu-shady and E.S. William, “Investigation of Quantum Information Theory with the screened modified Kratzer and a class of Yukawa potential model,” The European Physical Journal Plus, 138, 969 (2023). https://doi.org/10.1140/epjp/s13360-023-04617-7
J.A. Obu, E.P. Inyang, J.E. Ntibi, I.O. Akpan, E.S. William, and E.P. Inyang, “The Effect of Debye Mass on the Mass Spectra of Heavy Quarkonium System and Its Thermal Properties with Class of Yukawa Potential,” Jordan Journal of Physics, 16(3), 329-339 (2023). https://doi.org/10.47011/16.3.8
F.O. Faithpraise, and E.P. Inyang, “Bound State and Ro-Vibrational Energies Eigenvalues Of Selected Diatomic Molecules With A Class Of Inversely Quadratic Yukawa Plus Hulthén Potential Model,” East European Journal of Physics, 3, 158-166 (2023). https://doi.org/10.26565/2312-4334-2023-3-12
E.P. Inyang, E.P. Inyang, J.E. Ntibi, E.E. Ibekwe, and E.S. William, “Approximate solutions of D-dimensional Klein-Gordon equation with Yukawa potential via Nikiforov-Uvarov method”, Indian Journal of Physics, 95, 2733–2739 (2021). https://doi.org/10.1007/s12648-020-01933-x
C. Eckart, “The Penetration of a potential Barrier by Electrons,” Phys. Rev. 35, 1303 (1930). https://doi.org/10.1103/PhysRev.35.1303
H. Hellmann, “A New Approximation Method in the Problem of Many Electrons,” J. Chem. Phys. 3, 61 (1935). https://doi.org/10.1063/1.1749559
S. Hassanabadi, A.A. Rajabi, and S. Zarrinkamar, “Cornell and Kratzer potentials within the semi-relativistic treatment,” Mod. Phys. Lett. A. 27, 1250057 (2012). https://doi.org/10.1142/S0217732312500575
E.S. William, E.P. Inyang, I.O. Akpan, J.A. Obu, A.N. Nwachukwu, and E.P. Inyang, “Ro-vibrational energies and expectation values of selected diatomic molecules via Varshni plus modified Kratzer potential model,” Indian Journal of Physics, 96, 3461-3476 (2022). https://doi.org/10.1007/s12648-022-02308-0
E.P. Inyang, E.P. Inyang, E.S. William, and E.E. Ibekwe, “Study on the applicability of Varshni potential to predict the massspectra of the Quark-antiquark systems in a non-relativistic framework,” Jordan Journal of Physics, 14(4), 339-347 (2021). https://doi.org/10.47011/14.4.8
I.O. Akpan, E.P. Inyang, E.P. Inyang, and E.S. William, “Approximate solutions of the Schrödinger equation with Hulthen-Hellmann Potentials for a Quarkonium system,” Revista Mexica De Fisica, 67(3), 482-490 (2021). https://doi.org/10.31349/RevMexFis.67.482
J.A. Obu, E.P. Inyang, E.S. William, D.E. Bassey, and E.P. Inyang, “Comparative Study of The Mass Spectra of Heavy Quarkonium System with an Interacting Potential Mode,” East Eur. J. Phys. 3, 146-157 (2023). https://doi.org/10.26565/2312-4334-2023-3-11
E.P. Inyang, J. Ntibi, E.A. Ibanga, F. Ayedun, E.P. Inyang, and E. William, “Thermal Properties, Mass Spectra and Root Mean Square Radii of Heavy Quarkonium System with Class of Inversely Quadratic Yukawa Potential,” AIP Conference Proceedings 2679, 030003 (2023). https://doi.org/10.1063/5.0112829
E.S. William, S.C. Onye, A.N. Ikot, A.N. Nwachukwu, E.P. Inyang, I.B. Okon, I.O. Akpan, and B.I. Ita, “Magnetic susceptibility and Magnetocaloric effect of Frost-Musulin potential subjected to Magnetic and Aharonov-Bohm (Flux) for CO and NO diatomic molecules,” Journal of Theoretical and Applied Physics, 17(12), 172318 (2023). https://doi.org/10.30495/JTAP.172318
F. Ayedun, E.P. Inyang, E.A. Ibanga, and K.M. Lawal, “Analytical Solutions to The Schrödinger Equation with Collective
Potential Models: Application to Quantum Information Theory,” East Eur. J. Phys. 4, 87-98 (2022).
https://doi.org/10.26565/2312-4334-2022-4-06
E.S. William, E.P. Inyang and E.A. Thompson, “Arbitrary l -solutions of the Schrödinger equation interacting with Hulthen-
Hellmann potential model,” Revista Mexicana de Fisica, 66(6), 730-741 (2020). https://doi.org/10.31349/RevMexFis.66.730
E.P. Inyang, E.O. Obisung, J. Amajama, D.E Bassey, E.S William, and I.B. Okon, “The Effect of Topological Defect on the
Mass Spectra of Heavy and Heavy-Light Quarkonia,” Eurasian Physical Technical Journal, 19(4), 78-87 (2022).
https://doi.org/10.31489/2022No4/78-87
E.P. Inyang, E.O. Obisung, P.C. Iwuji, J.E. Ntibi, J. Amajama, and E.S. William, “Masses and thermal properties of a
Charmonium and Bottomonium Mesons,” Journal of the Nigerian Society of Physical Sciences, 4, 875-884 (2022).
https://doi.org/10.46481/jnsps.2022.884
E.P. Inyang, and E.O. Obisung, “The study of electronic states of NI and ScI molecules with screened Kratzer potential,” East
European Journal of Physics, 3, 32-38 (2022). https://doi.org/10.26565/2312-4334-2022-3-04
A.N. Ikot, U.S. Okorie, P.O. Amadi, C.O. Edet, G.J. Rampho, and R. Sever, “The Nikiforov-Uvarov –Functional Analysis
(NUFA) Method: A new approach for solving exponential – Type potentials,” Few-Body System, 62, 9 (2021).
https://doi.org/10.1007/s00601-021-021-01593-5
E.P. Inyang, P.C. Iwuji, J.E. Ntibi, E. Omugbe, E.A. Ibanga, and E.S. William, “Quark-antiquark study with inversely quadratic
Yukawa potential using Nikiforov-Uvarov-Functional analysis method,” East European Journal of Physics, 2, 43-51 (2022).
https://doi.org/10.26565/2312-4334-2022-2-05
E.P. Inyang, E.P. Inyang, E.S. William, J.E. Ntibi, and E.A. Ibanga, “Bound State Solutions of the Schrödinger equation with
Frost-Musulin potential using the Nikiforov-Uvarov-Functional Analysis (NUFA) method,” Bulgarian Journal of Physics,
(4), 329-339 (2022). https://doi.org/10.55318/bgjp.2022.49.4.329
I.B. Okon, C.A. Onate, R. Horchani, O.O. Popoola, E. Omugbe, E.S. William, U.S. Okorie, et al., “Thermomagnetic properties
and its efects on Fisher entropy with Schioberg plus Manning-Rosen potential (SPMRP) using Nikiforov-Uvarov functional
analysis (NUFA) and supersymmetric quantum mechanics (SUSYQM) methods,” Scientifc Reports, 13, 8193 (2023).
https://doi.org/10.1038/s41598-023-34521-0
E.P. Inyang, E.S. William, E. Omugbe, E.P. Inyang, E.A. Ibanga, F. Ayedun, I.O. Akpan, and J.E. Ntibi, “Application of
Eckart-Hellmann potential to study selected diatomic molecules using Nikiforov-Uvarov-Functional analysis method,” Revista
Mexicana de Fisica, 68, 020401 (2022). https://doi.org/10.31349/RevMexFis.68.020401
E.P. Inyang, E.S. William, J.E. Ntibi, J.A. Obu, P.C. Iwuji, and E.P. Inyang, “Approximate solutions of the Schrodinger
equation with Hulthen plus screened Kratzer potential using the Nikiforov-Uvarov-Functional analysis method: An Application
to diatomic molecules,” Canadian Journal of Physics, 100(10), (2022). https://doi.org/10.1139/cjp-2022-0030
E.E. Ibekwe, U.S. Okorie, J.B. Emah, E.P. Inyang, and S.A. Ekong, “Mass spectrum of heavy quarkonium for screened Kratzer
potential (SKP) using series expansion method,” Eur. Phys. J. Plus, 87, 136 (2021). https://doi.org/10.1140/epjp/s13360-021-01090-y
E.P. Inyang, P.C. Iwuji, J.E. Ntibi, E.S. William, and E.A. Ibanga, “Solutions of the Schrodinger equation with Hulthen –
screened Kratzer potential: Application to diatomic molecules,” East European Journal of Physics, 1, 12-22 (2022).
https://doi.org/10.26565/2312-4334-2022-2-02
E.P. Inyang, E.P. Inyang, J.E. Ntibi, and E.S. William, “Analytical solutions of the Schrödinger equation with Kratzer-screened
Coulomb potential for a Quarkonium system,” Bulletin of Pure and applied Sciences - Physics, 40(1), 12-24 (2020).
https://acspublisher.com/journals/index.php/bpasphy/article/view/8660
M. Abu-Shady, T.A. Abdel-Karim, and E.M. Khokha, “Exact solution of the N-dimensional Radial Schrödinger Equation via
Laplace Transformation method with the Generalized Cornell potential,” Journal of theoretical Physics, 45, 567-587 (2018).
https://doi.org/10.48550/arXiv.1802.02092
E.P. Inyang, I.B. Okon, F.O. Faithpraise, E.S. William, P.O. Okoi, and E.A. Ibanga, “Quantum mechanical treatment of
Shannon entropy measure and energy spectra of selected diatomic molecules with the modified Kratzer plus generalized inverse
quadratic Yukawa potential model,” Journal of Theoretical and Applied Physics, 17(4), 1-13 (2023).
https://dx.doi.org/10.57647/j.jtap.2023.1704.40
E.P. Inyang, F.O. Faithpraise, J. Amajama, E.S. William, E.O. Obisung, and J.E. Ntibi, “Theoretical Investigation of Meson
Spectrum using Exact Quantization Rule Technique,” East European Journal of Physics, 1, 53-62 (2023).
https://doi.org/10.26565/2312-4334-2023-1-05
E. Omugbe, O.E. Osafile, and M.C. Onyeajh, “Mass spectrum of mesons via WKB Approximation method,” Advances in High
Energy Physics, 10, 1143 (2020). https://doi.org/10.1155/2020/5901464
E. Omugbe, O.E. Osafile, E.P. Inyang, and A. Jahanshir, “Bound state solutions of the hyper-radial Klein-Gordon equation
under the Deng-Fan potential by WKB and SWKB methods,” Physica Scripta, 96(12), 125408 (2021).
https://doi.org/10.1088/1402-4896/ac38d4
E. Omugbe, E.P. Inyang, I.J. Njoku, C. Martínez-Flores, A. Jahanshir, I.B. Okon, E.S. Eyube, et al., “Approximate mass spectra
and root mean square radii of quarkonia using Cornell potential plus spin-spin interactions,” Nuclear Physics A, 1034, 122653
(2023). https://doi.org/10.1016/j.nuclphysa.2023.122653
E. Omugbe, J.N. Aniezi, E.P. Inyang, I.J. Njoku, C.A. Onate, E.S. Eyube, S.O. Ogundeji, et al., “Non-relativistic Mass Spectra
Splitting of Heavy Mesons Under the Cornell Potential Perturbed by Spin–Spin, Spin–Orbit and Tensor Components,” Few-
Body System, 64, 66 (2023). https://doi.org/10.1007/s00601-023-01848-3
C.O. Edet, S. Mahmoud, E.P. Inyang, N. Ali, S.A. Aljunid, R. Endut, A.N. Ikot, and M. Asjad, “Non-Relativistic Treatment of
the 2D Electron System Interacting via Varshni-Shukla Potential Using the Asymptoptic Iteration Method,” Mathematics, 10,
(2022). https://doi.org/10.3390/math10152824
C.O. Edet, E.B. Al, F. Ungan, E.P. Inyang, N. Ali, M.M. Ramli, R. Endut, and S.A. Aljunid, “Influence of perturbations on
linear and nonlinear optical properties of quantum dot,” The European Physical Journal Plus, 138, 904 (2023).
https://doi.org/10.1140/epjp/s13360-023-04519-8
M. Abu-Shady, and E.P. Inyang, “The Fractional Schrödinger Equation With The Generalized Woods-Saxon Potential,” East
European Journal of Physics, 1, 63-68 (2023). https://doi.org/10.26565/2312-4334-2023-1-06
A.N. Ikot, L.F. Obagboye, U.S. Okorie, E.P. Inyang, P.O. Amadi, and A. Abdel-Aty, “Solutions of Schrodinger equation with
generalized Cornell potential (GCP) and its applications to diatomic molecular systems in D-dimensions using Extended
Nikiforov–Uvarov (ENU) formalism,” The European Physical Journal Plus, 137, 1370 (2022).
https://doi.org/10.1140/epjp/s13360-022-03590-x
M. Abu-Shady, and E.P. Inyang, “Heavy-Light Meson masses in the Framework of Trigonometric Rosen-Morse Potential using the
Generalized Fractional Derivative,” East European Journal of Physics, 4, 80-87 (2022). https://doi.org/10.26565/2312-4334-2022-4-06
H. Ciftci, and H.F. Kisoglu, “Nonrelativistic-Arbitrary l-states of quarkonium through Asymptotic Iteration method,” Advances
in High Energy Physics, 2018, 4549705 (2018). https://doi.org/10.1155/2018/4549705
H. Mutuk, “Mass Spectra and Decay constants of Heavy-light Mesons: A case study of QCD sum Rules and Quark model,”
Advan. in High Energy Phys. 8095653 (2018). https://doi.org/10.1155/2018/8095653
M. Allosh, Y. Mustafa, N.K. Ahmed, and A.S. Mustafa, “Ground and Excited state mass spectra and properties of heavy-light
mesons,” Few-Body Syst. 62, 26 (2021). https://doi.org/10.1007/s00601-021-01608-1
M.S. Ali, G.S. Hassan, A.M. Abdelmonem, S.K. Elshamndy, F. Elmasry, and A.M. Yasser, “The spectrum of charmed
quarkonium in non-relativistic quark model using matrix Numerov’s method,” J. Rad. Research and Applied Sciences, 13, 233
(2020). https://doi.org/10.1080/16878507.2020.1723949
H. Mansour, and A. Gamal, “Bound state of Heavy Quarks using a General polynomial potential,” Adv. in High Ener. Phys.
(2018). https://doi.org/10.1155/2018/7269657
A. Al-Oun, A. Al-Jamel, and H. Widyan, “Various properties of Heavy Quakonium from Flavor-independent Coulomb plus
Quadratic potential,” Jord. J. Phys. 40, 453-464 (2015).
M. Abu-Shady, “N-dimensional Schrödinger equation at finite temperature using the Nikiforov-Uvarov method,” J. Egypt.
Math. Soc. 25, 86-89 (2017). https://doi.org/10.1016/j.joems.2016.06.006
R. Rani, S.B. Bhardwaj and F. Chand, “Mass spectra of heavy and light mesons using asymptotic iteration method,” Commun.
Theor. Phys. 70, 179 (2018). https://doi.org/10.1088/0253-6102/70/2/179
R. Kumar, R.M. Singh, S.B. Bhahardivaj, R. Rani and F. Chand, “Analytical solutions to the Schrodinger equation for
generalized Cornell potential and its application to diatomic molecules and heavy mesons,” Mod. Phys. Lett. A, 37, 2250010
(2022). https://doi.org/10.1142/S0217732322500109
A. Vega and J. Flores, “Heavy quarkonium properties from Cornell potential using variational method and supersymmetric
quantum mechanics,” Pramana-J. Phys. 87, 73 (2016). https://doi.org/10.1007/s12043-016-1278-7
H. Mutuk, “Cornell Potential: A Neural Network Approach,” Advan. in High Energy Phys. 2019, 3105373 (2019).
https://doi.org/10.1155/2019/3105373
H. Hassanabadi, M. Ghafourian and S. Rahmani, “Study of the Heavy-Light mesons properties via the Variational method for
Cornell interaction,” Few-Body Syst. 57, 249–254 (2016). https://doi.org/10.1007/s00601-015-1040-6
E.P. Inyang, A.N. Ikot, E.P. Inyang, I.O. Akpan, J.E. Ntibi, E. Omugbe, and E.S. William, “Analytic study of thermal
properties and masses of heavy mesons with quarkonium potential,” Results in Physics. 39, 105754 (2022).
https://doi.org/10.1016/j.rinp.2022.105754
M. Abu-Shady, T.A. Abdel-Karim, and Y. Ezz-Alarab, “Masses and thermodynamic properties of heavy mesons in the nonrelativistic
quark model using the Nikiforov-Uvarov method”, Journal of Egyptian Mathematical Society, 23, 155 (2019).
https://doi.org/10.1186/s42787-019-0014-0
E.P. Inyang, E.P. Inyang, I.O. Akpan, J.E. Ntibi, and E.S. William, “Masses and thermodynamic properties of a Quarkonium
system,” Canadian Journal Physics, 99, 990 (2021). https://doi.org/10.1139/cjp-2020-0578
M. Abu-Shady, and S.Y. Ezz-Alarab, “Trigonometric Rosen–Morse Potential as a Quark–Antiquark Interaction Potential for
Meson Properties in the Non-relativistic Quark Model Using EAIM,” Few-Body Systems, 60 66 (2019).
https://doi.org/10.1007/s00601-019-1531-y
V. Kumar, S.B. Bhardwaj, R.M. Singh and F. Chand, “Mass spectra and thermodynamic properties of some heavy and light
mesons,” Pramana J. Phys. 96, 125 (2022). https://doi.org/10.1007/s12043-022-02377-0
C.O. Edet, and A.N. Ikot, “Effect of Topological Defect on the Energy spectra and Thermo-magnetic properties of CO diatomic
molecule,” J. Low Temp. Phys. 203, 84-111 (2021). https://doi.org/10.1007/s10909-021-02577-9
A. Vilenkin, and E.P.S. Shellard, Cosmic Strings and other Topological Defects, (Cambridge University Press, Cambridge, UK, 1994).
C. Furtado, and F. Morades, “Landau levels in the presence of a screw dislocation,” Europhys. Lett. 45, 279-282 (1999).
https://doi.org/10.1209/epl/i1999-00159-8
C. Furtado, and F. Morades, “On the binding of electrons and holes to disclinations,” Phys. Lett. A, 188, 394-396 (1994).
https://doi.org/10.1016/0375-9601(94)90482-0
H. Hassanabadi, and M. Hosseinpour, “Thermodynamic properties of neutral particle in the presence of topological defects in
magnetic cosmic string background,” Eur. Phys. J. C, 76, 553 (2016). https://doi.org/10.1140/epjc/s10052-016-4392-2
P. Nwabuzor, C. Edet, A.N. Ikot, U. Okorie, M. Ramantswana, R. Horchani, A. Abdel-Aty, and G. Rampho, “Analyzing the
effects of Topological Defect (TD) on the Energy spectra and Thermal Properties of LiH, TiC and I2 diatomic molecules,”
Entropy, 23(8), 1060 (2021). https://doi.org/10.3390/e23081060
A. Vilenkin, “Cosmic Strings and domain walls,” Phys. Rep. 121, 263-315 (1985). https://doi.org/10.1016/0370-1573(85)90033-X
M. Barriola, and A. Vilenkin, “Gravitational field of a global monopole,” Phys. Rev. Lett. 63, 341 (1989).
https://doi.org/10.1103/PhysRevLett.63.341
G. De A. Marques, C. Furtado, V.B. Bezerra, and F. Moraes, “Landau levels in the presence of topological defects,” J. Phys. A,
Math. Gen. 34, 5945 (2001). https://doi.org/10.1088/0305-4470/34/30/306
S. Jacobs, M.G. Olsson, and C. Suchyta, “Comparing the Schrodinger and Spinless Salpeter equations for heavy-quark bound
states,” Physical Review D, 33, 3338 (1986). https://doi.org/10.1103/PhysRevD.33.3338
B. Grinstein, “A modern introduction to quarkonium theory,” Int. J. Mod. Phys. 15, 461-495 (2000).
https://doi.org/10.1142/S0217751X00000227
W. Lucha, F. Schoberl, and D. Gromes, “Bound states of quarks,” Phys. Reports. 200, 127-240 (1991).
https://doi.org/10.1016/0370-1573(91)90001-3
S. Patel, P.C. Vinodkumar, and S. Bhatnagar, “Decay rates of charmonia within a quark-antiquark confining potential,” Chinese
Physics C, 40, 053102 (2016). https://doi.org/10.1088/1674-1137/40/5/053102
V. Mateu, P.G. Ortega, D.R. Entem, and F. Fernadez, “Calibrating the nave Cornell model with NRQCD,” The European
Physical Journal C, 79, 323 (2019). https://doi.org/10.1140/epjc/s10052-019-6808-2
F. Brau, and C. Sernay, “The three-dimensional Fourier grid Hamiltonian method,” Journal of computational physics, 139, 127-
(1998). https://doi.org/10.1006/jcph.1997.5866
A. Bhaghyesh, “Charmonium properties using the Discrete variable representation (DVR)method,” Advances in High Energy
Physics, 2021, 9991152 (2021). https://doi.org/10.1155/2021/9991152
C.O. Edet, and P.O. Okoi, “Any l-state solutions of the Schrodinger equation for q-deformed Hulthen plus generalized inverse
quadratic Yukawa potential in arbitrary dimensions,” Revista Mexicana De Fisica, 65, 333-344 (2019).
https://doi.org/10.31349/RevMexFis.65.333
E.P. Inyang, F. Ayedun, E.A. Ibanga, K.M. Lawal, I.B. Okon, E.S. William, O. Ekwevugbe, et al., “Analytical Solutions of the
N-Dimensional Schrödinger equation with modified screened Kratzer plus Inversely Quadratic Yukawa potential and
Thermodynamic Properties of selected Diatomic Molecules,” Results in Physics, 43, 106075 (2022).
https://doi.org/10.1016/j.rinp.2022.106075
K.R. Purohit, P. Jakhad, and A.K. Rai, “Quarkonium spectroscopy of the linear plus modified Yukawa potential,” Phys. Scripta,
, 044002 (2022). https://doi.org/10.1088/1402-4896/ac5bc2
M. Abu-shady, C.O. Edet, and A.N. Ikot, “Non-relativistic Quark model under external magnetic and Aharanov-Bohm (AB)
fields in the presence of Temperature-Dependent confined Cornell potential,” Canadian J. Phys. 99(11), (2021).
https://doi.org/10.1139/cjp-2020-0101
R. Olive, D.E. Groom, and T.G. Trippe, Particle Data Group, Chin. Phys. C, 38, 60 (2014). https://doi.org/10.1088/1674-
/38/9/090001
M. Tanabashi, C.D. Carone, T.G. Trippe, and C.G. Wohl, Particle Data Group, Phys. Rev. D, 98, 546 (2018).
https://doi.org/10.1103/PhysRevD.98.030001
S.K. Nikiforov, and V.B. Uvarov, Special functions of Mathematical Physics, (Birkhauser, Basel, 1988).
E.P. Inyang, E.O. Obisung, E.S. William, and I.B. Okon, “Non-Relativistic study of mass spectra and thermal properties of a
quarkonium system with Eckart-Hellmann potential,” East European Journal of Physics, 3, 104-114 (2022).
https://doi.org/10.26565/2312-4334-2022-3-14
E.S. William, E.P. Inyang, J.E. Ntibi, J.A. Obu, and E.P. Inyang, “Solutions of the Non-relativistic Equation Interacting with
the Varshni-Hellmann potential model with some selected Diatomic molecules,” Jordan Journal of Physics, 15(2), 179-193
(2022). https://doi.org/10.47011/15.2.8
E.S. William, I.B. Okon, O.O. Ekerenam, I.O. Akpan, B.I. Ita, E.P. Inyang, I.P. Etim, and I.F. Umoh, “Analyzing the effects of
magnetic and Aharonov-Bohm (AB) flux fields on the energy spectra and thermal properties of N2, NO, CO, and H2 diatomic
molecules,” International Journal of Quantum Chemistry, 122(16), e26925 (2022). https://doi.org/10.1002/qua.26925
J.E. Ntibi, E.P. Inyang, E.P. Inyang, E.S. William, and E.E. Ibekwe, “Solutions of the N-dimensional Klein-Gordon Equation
with Ultra Generalized Exponential–Hyperbolic Potential to Predict the Mass Spectra of Heavy Mesons,” Jordan Journal of
Physics, 15(4), 393-402 (2022). https://doi.org/10.47011/15.4.8
E.S. William, E.P. Inyang, I.B. Okon, O.O. Ekerenam, C.A. Onate, I.O. Akpan, A.N. Nwachukwu, et al., “Thermo-magnetic
properties of Manning-Rosen plus inversely quadratic Yukawa potential under the influence of magnetic and Aharonov-Bohm
(AB) flux fields,” Indian Journal of Physics, 97, 1359–1379 (2023). https://doi.org/10.1007/s12648-022-02510-0
E.P. Inyang, J.E. Ntibi, E.O. Obisung, E.S. William, E.E. Ibekwe, I.O. Akpan, and E.P. Inyang, “Expectation Values and
Energy Spectra of the Varshni Potential in Arbitrary Dimensions,” Jordan Journal of Physics, 5, 495-509 (2022).
https://doi.org/10.47011/15.5.7
E.P. Inyang, E.S. William, and J.A. Obu, “Eigensolutions of the N-dimensional Schrödinger equation interacting with Varshni-
Hulthen potential model,” Revista Mexicana de Fisica, 67(2), 193-205 (2021). https://doi.org/10.31349/RevMexFis.67.193
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