A Systematic Study on Nonrelativistic Quark–antiquark Interactions

Abou-Salem, L. I.

doi:10.1142/s0217751x0502286x

Cited by 11 publications

(8 citation statements)

References 5 publications

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“…The 1S, 2S, 1D close with experimental data and are improved in comparison with power potential, screened potential, and phenomenological potential in Ref. [35]. The effect of dimensionality number has the same effect as in the charmonium and bottomonium.…”

Section: Results and Discussion [41] Quarkonium Massessupporting

confidence: 74%

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Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

2019

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Thermodynamics properties of heavy mesons are calculated within the framework of the N-dimensional radial Schr ̈dinger equation. The Cornell potential is extended by including the quadratic potential plus the inverse of quadratic potential. The energy eigenvalues and the corresponding wave functions are calculated in the N-dimensional space using the Nikiforov-Uvarov (NV) method. The obtained results are applied for calculating the mass of spectra of charmonium, bottomonium, b ̅ and c ̅ mesons. The thermodynamics properties of heavy quarkonia such as, the mean energy, specific heat, free energy, and entropy are calculated. The effect of temperature and the dimensionality number on heavy mesons masses and thermodynamics properties is investigated. The obtained results are improved in comparison with other theoretical approaches and in a good agreement with experimental data. We conclude that the present potential well describes thermodynamic properties in the three-dimensional space and also the higher dimensional space.

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Section: Results and Discussion [41] Quarkonium Massessupporting

confidence: 74%

“…We note that the present results of the b ̅ mass are in good agreement in comparison with Refs. [33][34][35].…”

Section: Results and Discussion [41] Quarkonium Massesmentioning

confidence: 99%

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

2019

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“…If the coefficients are calculated at tree level; i.e., c 3 (µ, m) = 1, d(µ) = 0, the potential reduces to the Eichten-Feinberg result [66,67]. And if these coefficients are expanded to order α s (µ) then reduced to a one-loop quarkonium spin-spin interaction in the nonrelativistic case [68][69][70] which is responsible for the hyperfine splitting of the mass levels [71][72][73][74][75][76][77][78][79][80][81][82][83][84]…”

Section: Spin-averaged Binding Mass Spectrummentioning

confidence: 99%

“…with the wave function at the origin is calculated by using the expectation value of the potential derivative via [33,[41][42][43][44][45][46]49,[82][83][84]…”

Section: Spin-averaged Binding Mass Spectrummentioning

confidence: 99%

Nonrelativistic Quark–antiquark Potential: Spectroscopy of Heavy-Quarkonia and Exotic Susy Quarkonia

Ikhdair

Sever

2009

Int. J. Mod. Phys. A

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The experiments at LHC have shown that the SUSY (exotic) bound states are likely to form bound states in an entirely similar fashion as ordinary quarks form bound states, i.e., quarkonium.Also, the interaction between two squarks is due to gluon exchange which is found to be very similar to that interaction between two ordinary quarks. This motivates us to solve the Schrödinger equation with a strictly phenomenological static quark-antiquark potential: V (r) = −Ar −1 +κ √ r+ V 0 using the shifted large N -expansion method to calculate the low-lying spectrum of a heavy quark with anti-sbottom (c b, b b) and sbottom with anti-sbottom ( b b) bound states with m e b is set free. To have a full knowledge on spectrum, we also give the result for a heavier as well as for lighter sbottom masses. As a test for the reliability of these calculations, we fix the parameters of this potential by fitting the spin-triplet (n 3 S 1 ) and center-of-gravity l = 0 experimental spectrum of the ordinary heavy quarkonia cc, cb and bb to few MeV. Our results are compared with other models to gauge the reliability of these predictions and point out differences.

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“…Hadron spectroscopy is very important to study its structures and the nature of the interaction forces between its constituents. In the previous works [1][2][3][4][5], the heavy meson spectroscopy is studied by using different potential models. Many authors have been studying the baryon spectroscopy.…”

Section: Introductionmentioning

confidence: 99%

Study of Baryon Spectroscopy Using a New Potential Form

Abou-Salem

2014

Advances in High Energy Physics

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In the present work, the nonrelativistic quark model is applied to study baryon systems, where the constituent quarks are bound by a suitable hyper central potential. We proposed a new phenomenological form of the interaction potential, digamma-type potential. Using the Jacobi coordinates, the three-body wave equation is solved numerically to calculate the resonance states of theN, Δ, Λ, andΣbaryon systems. The present model contains only two adjustable parameters in addition to the quark masses. Our theoretical calculations are compared to the available experimental data and Cornell potential results. The description of the spectrum shows that the ground states of the considered light and strange baryon spectra are in general well reproduced.

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A Systematic Study on Nonrelativistic Quark–antiquark Interactions

Cited by 11 publications

References 5 publications

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

Masses and thermodynamic properties of heavy mesons in the non-relativistic quark model using the Nikiforov–Uvarov method

Nonrelativistic Quark–antiquark Potential: Spectroscopy of Heavy-Quarkonia and Exotic Susy Quarkonia

Study of Baryon Spectroscopy Using a New Potential Form

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