Charmonium Properties Using the Discrete Variable Representation (DVR) Method

Bhaghyesh, A.

doi:10.1155/2021/9991152

Cited by 10 publications

(3 citation statements)

References 60 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The mass spectrum was calculated in the framework of non-relativistic QCD, with seven parameters [7]. The charmonium properties were studied by solving the Schrödinger equation with the discrete variable representation method [8]. This last model used five parameters.…”

Section: Introductionmentioning

confidence: 99%

A Relativistic Model for the Charmonium Spectrum with a Reduced Number of Free Parameters

Sanctis¹

2021

Acta Phys. Pol. B

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

A Relativistic Model for the Charmonium Spectrum with a Reduced Number of Free Parameters

Sanctis¹

2021

Acta Phys. Pol. B

View full text Add to dashboard Cite

“…The spin components of the interaction potentials have often been neglected in the literature since it is difficult to obtain an exact solution [14][15][16][17]. In these circumstances, numerical solutions are widely applied [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Approximate bound state solutions of the fractional Schr\"{o}dinger equation under the spin-spin-dependent Cornell potential

Omugbe,

Abu-Shady,

Inyang

2024

J. Nig. Soc. Phys. Sci.

View full text Add to dashboard Cite

In this work, the approximate bound state solutions of the fractional Schr\"{o}dinger equation under a spin-spin-dependent Cornell potential are obtained via the convectional Nikiforov-Uvarov approach. The energy spectra are applied to obtain the mass spectra of the heavy mesons such as bottomonium, charmonium and bottom-charm. The masses for the singlet and triplet spin numbers increase as the quantum numbers increase. The fractional Schr\"{o}dinger equation improves the mass spectra compared to other theoretic masses. The bottomonium masses agree with the experimental results where percentage errors for fractional parameters of $\beta =1,\alpha =0.97$ and $\beta =1,\alpha =0.50$ were found to be 0.67\% and 0.49\% respectively. The respective percentage errors of 1.97\% and 1.62\% for fractional parameters of $\beta =1,\alpha =0.97$ and $\beta =1,\alpha =0.50$ were obtained for charmonium meson. The results indicate that the potential curves coupled with the fractional parameters account for the short-range gluon exchange between the quark-antiquark interactions and the linear confinement phenomena which is associated with the quantum chromo-dynamic and phenomenological potential models in particle and high-energy physics.

show abstract

“…For convenience, we have assumed that our heavy mesons are spinless particles [42,57,[68][69][70]. This is because most potentials with spin addition cannot be solved analytically, necessitating the employment of numerical methods like the Runge-Kutte approximation [71], Numerov matrix approach [72], Fourier grid Hamiltonian method [73], and so on [74].…”

mentioning

confidence: 99%

Thermal Properties and Mass Spectra of Heavy Mesons in the Presence of a Point-Like Defect

Inyang,

Ali,

Endut

et al. 2024

East Eur. J. Phys.

View full text Add to dashboard Cite

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.

show abstract

Charmonium Properties Using the Discrete Variable Representation (DVR) Method

Cited by 10 publications

References 60 publications

A Relativistic Model for the Charmonium Spectrum with a Reduced Number of Free Parameters

A Relativistic Model for the Charmonium Spectrum with a Reduced Number of Free Parameters

Approximate bound state solutions of the fractional Schr\"{o}dinger equation under the spin-spin-dependent Cornell potential

Thermal Properties and Mass Spectra of Heavy Mesons in the Presence of a Point-Like Defect

Contact Info

Product

Resources

About