Heavy–Light Mesons Under a New Potential Containing Cornell, Gaussian and Inverse Square Terms

Moazami, M.; Hassanabadi, H.; Zarrinkamar, S.

doi:10.1007/s00601-018-1422-7

Cited by 9 publications

(3 citation statements)

References 27 publications

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“…Cornell, Gaussian, and inverse square potential. Moazami, Hassanabadi, and Zarrinkamar gave a non-relativistic potential to get the mass spectrum of heavy-light mesons [156]. The proposed potential takes the form…”

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confidence: 99%

Models and potentials in hadron spectroscopy

Ranjan

2023

J. Phys. G: Nucl. Part. Phys.

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confidence: 99%

Models and potentials in hadron spectroscopy

Ranjan

2023

J. Phys. G: Nucl. Part. Phys.

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“…Rahmani et al solved the SE with a potential containing Coulomb, linear and quadratic terms, using the NU method [13]. Moazami et al calculated the mass spectrum and decay properties of HLM under a new potential combination containing Cornell, Gaussian and inverse square terms in the NR regime [14]. Sun and Saad evaluated Shannon entropy for the position and momentum eigenstates of an asymmetric trigonometric Rosen-Morse potential TRMP for the ground and first excited states and calculated the position and momentum information entropies numerically [15].…”

Section: Averagingmentioning

confidence: 99%

Analytical Expressions to Energy Eigenvalues of the Hydrogenic Atoms and the Heavy Light Mesons in the Framework of 3D-NCPS Symmetries Using the Generalized Bopp's Shift Method

2022

Bulg.J.Phys.

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In the present paper, within the framework of the Deformed Schrödinger equation, using the generalized Bopp's shift method and standard perturbation theory, we have obtained the energy eigenvalues of a newly proposed improved trigonometric Rosen-Morse potential model (ITRMP) for the hydrogenic atoms and the Heavy Light Mesons (HLM) QQ(Q = b, c) and we also applied the results obtained in the production of the modified massspectra of the HLM in the three-dimensional nonrelativistic noncommutative phase space (3D-NCPS) symmetries. The potential is a superposition of the trigonometric Rosen-Morse potential and new central terms appear as a result of the effects of noncommutativity properties of space and phase on the TRMP model. The obtained energy eigenvalues and modified mass spectra appeared as a function of the discreet atomic quantum numbers (j, n, l, s and m), infinitesimal parameters (Θ, λ and τ ) and (η, λ and τ ) which are induced by (spacespace) and (phase-phase), in addition to, the dimensional parameters (µ, b, d) of the studied potential. Furthermore, we have shown that the corresponding new Hamiltonian operator is the sum of the ordinary Hamiltonian operator of the TRMP model and three operators, the first one is the modified spin-orbit interaction, the second is the modified Zeeman operator while the third part is the rotational part for the previous hydrogenic and the HLM systems.

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“…One aim of the present work is to make an analysis of the contribution of three-loop effects in the improved strong coupling constant α V ( 1 r ) in V -scheme, which in turn contributes to the spin-spin interaction [27][28][29] term present in the expression of mass and decay constant of the heavy-flavour meson. In addition, the non-relativistic binding energy effect between the two quark-antiquark composition of the heavyflavour meson is newly incorporated in the expression of PSM mass, which was absent in our some previous works [23][24][25]37,39,41].…”

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confidence: 99%

2S and 3S State Masses and decay constants of heavy-flavour mesons in a non-relativistic QCD potential model with three-loop effects in V-scheme

Hoque

Hazarika²,

Choudhury

2020

Eur. Phys. J. C

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We make an analysis of three -loop effects of the strong coupling constant in the study of masses and decay constants of the heavy-flavour pseudo-scalar mesons (PSM) D, $$D_s$$ D s , B, $$B_s,$$ B s , $$B_c$$ B c , $$\eta _c$$ η c and $$\eta _b$$ η b in a non-relativistic QCD potential model using Dalgarno’s perturbation theory (DPT). The first order mesonic wavefunction is obtained using Dalgarno’s perturbation theory. The three-loop effects of strong coupling constant are included in the wave function in co-ordinate space and then used to examine the static and dynamic properties of the heavy-flavour mesons for 2S and 3S higher states. The results are compared with the other models available and are found to be compatible with available experimental values. In V-scheme, the three-loop effects on masses and decay constants of heavy-flavour mesons show a significant result.

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Heavy–Light Mesons Under a New Potential Containing Cornell, Gaussian and Inverse Square Terms

Cited by 9 publications

References 27 publications

Models and potentials in hadron spectroscopy

Models and potentials in hadron spectroscopy

Analytical Expressions to Energy Eigenvalues of the Hydrogenic Atoms and the Heavy Light Mesons in the Framework of 3D-NCPS Symmetries Using the Generalized Bopp's Shift Method

2S and 3S State Masses and decay constants of heavy-flavour mesons in a non-relativistic QCD potential model with three-loop effects in V-scheme

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