Quarkonium spectroscopy of the linear plus modified Yukawa potential

Purohit, Kaushal R.; Jakhad, Pooja; Kumar, Ajay

doi:10.1088/1402-4896/ac5bc2

Cited by 13 publications

(5 citation statements)

References 48 publications

(64 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Potential models such as Yukawa potential [42], Varshni [43], screened Kratzer potential [44], and so on have been used in the prediction of the MS of the HMs. For instance, Purohit et al [45] combined linear plus modified Yukawa potential to obtain the masses of the HMs through the solutions of the Klein-Gordon equation. The SE for most of the potentials with spin addition cannot be solved analytically; hence, numerical solutions such as Runge-Kutte approximation [46], Numerov matrix method [47], Fourier grid Hamiltonian method [48], and so on [49] are employed.…”

Section: Introductionmentioning

confidence: 99%

Masses and thermal properties of a Charmonium and Bottomonium Mesons

Inyang

Obisung

Iwuji

et al. 2022

J. Nig. Soc. Phys. Sci.

View full text Add to dashboard Cite

In this research, we model Hulthén plus generalized inverse quadratic Yukawa potential to interact in a quark-antiquark system. The solutions of the Schrödinger equation are obtained using the Nikiforov-Uvarov method. The energy spectrum and normalized wave function were obtained. The masses of the heavy mesons for different quantum states such as 1S, 2S , 1P, 2P 3S, 4S, 1D, and 2D were predicted as 3.096 GeV, 3.686 GeV, 3.327 GeV, 3.774GeV, 4.040 GeV, 4.364GeV, 3.761 GeV, and 4.058 GeV respectively for charmonium (cc). Also, for bottomonium (bb) we obtained 9.460 GeV, 10.023 GeV, 9.841 GeV, 10.160 GeV, 10.345 GeV, 10.522 GeV, and 10.142GeV for different states of 1S , 2S , 1P , 2P , 3S , 4S , 1D respectively. The partition function was calculated from the energy spectrum, thereafter other thermal properties were obtained. The results obtained showed an improvement when compared with the work of other researchers and excellently agreed with experimental data with a percentage error of 1.60 % and 0.46 % for (cc) and (bb), respectively.

show abstract

Section: Introductionmentioning

confidence: 99%

Masses and thermal properties of a Charmonium and Bottomonium Mesons

Inyang

Obisung

Iwuji

et al. 2022

J. Nig. Soc. Phys. Sci.

View full text Add to dashboard Cite

show abstract

“…Akbar et al [34] studied effect of orbital and radial excitations on masses and sizes of conventional and hybrid B c mesons along with calculations of E1, M1 radiative partial widths for conventional meson to meson and hybrid to hybrid transitions. Further, Rahmani et al [35] computed the masses, slope and curvature parameters of some heavy and light mesons via solving the SE for a potential containing Coulomb, linear and quadratic terms By solving the Klein-Gordan (KG) equation using linear plus modified Yukawa potential, recently Purohit et al [36] obtained the mass spectra of charmonium, bottomonium and bc ¯mesons. Chaudhary et al [37] derived bound state energy eigenvalues for an elementary quarkonium potential using the Hill determinant method.…”

Section: Introductionmentioning

confidence: 99%

Energy eigenvalue spectra and applications of the sextic and the Coulomb perturbed potentials

Kumar

Bhardwaj²,

Singh

et al. 2022

Phys. Scr.

View full text Add to dashboard Cite

Keeping in view the importance of the anharmonic potentials, closed-form solutions to the N-dimensional Schrödinger equation, for the Coulomb perturbed and the sextic potentials using the Nikiforov-Uvarov functional analysis and power series methods respectively, are investigated. Complete energy spectrum is obtained for both the potentials by invoking some restrictions on wave function parameters of the sextic potential and the Greene-Aldrich approximation for centrifugal term of the Coulomb perturbed potential. A relationship between energy eigenvalues of the two potentials is verified in higher dimensions. This study is further extended to find physical applications of both the potentials. The energy eigenvalues of the Coulomb perturbed potential are used to compute the mass spectra of five mesons viz c ̄c, b ̄b, b ̄c, c ̄s and c ̄q (where q = u, d). Within the framework of the sextic potential, Zr and Sn isotopic chains are analyzed and 96 Zr and 112 Sn isotopes have been identified as critical point nuclei. The results of this study are consistent with others similar studies.

show abstract

“…The extension of the Cornell potential was achieved by introducing a quadratic correction (harmonic oscillator potential), and the resulting Schrödinger equation in N dimensions was solved for meson systems involving bc and cs quark pairs, yielding the mass spectra [17]. Finally, a study [18] utilized the linear plus modified Yukawa potential to approximate the bound state solutions of the Klein-Gordon equation in three-dimensional space. Through the Nikiforov-Uvarov formulation, the Klein-Gordon equation was analytically solved, providing the energy eigenvalues and wavefunctions for heavy meson systems.…”

Section: Introductionmentioning

confidence: 99%

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

Luz

Petronilo

et al. 2022

Advances in High Energy Physics

View full text Add to dashboard Cite

In this paper, we study within the structure of Symplectic Quantum Mechanics a bidimensional nonrelativistic strong interaction system which represent the bound state of heavy quark-antiquark, where we consider a Cornell potential which consists of Coulomb-type plus linear potentials. First, we solve the Schrödinger equation in the phase space with the linear potential. The solution (ground state) is obtained and analyzed by means of the Wigner function related to Airy function for the c c ¯ meson. In the second case, to treat the Schrödinger-like equation in the phase space, a procedure based on the Bohlin transformation is presented and applied to the Cornell potential. In this case, the system is separated into two parts, one analogous to the oscillator and the other we treat using perturbation method. Then, we quantized the Hamiltonian with the aid of stars operators in the phase space representation so that we can determine through the algebraic method the eigenfunctions of the undisturbed Hamiltonian (oscillator solution), and the other part of the Hamiltonian was the perturbation method. The eigenfunctions found (undisturbed plus disturbed) are associated with the Wigner function via Weyl product using the representation theory of Galilei group in the phase space. The Wigner function is analyzed, and the nonclassicality of ground state and first excited state is studied by the nonclassicality indicator or negativity parameter of the Wigner function for this system. In some aspects, we observe that the Wigner function offers an easier way to visualize the nonclassic nature of meson system than the wavefunction does phase space.

show abstract

Quarkonium spectroscopy of the linear plus modified Yukawa potential

Cited by 13 publications

References 48 publications

Masses and thermal properties of a Charmonium and Bottomonium Mesons

Masses and thermal properties of a Charmonium and Bottomonium Mesons

Energy eigenvalue spectra and applications of the sextic and the Coulomb perturbed potentials

Quark-Antiquark Effective Potential in Symplectic Quantum Mechanics

Contact Info

Product

Resources

About