A Study of Some Properties of Bottomonium

Yasser, A. M.; Hassan, G. S.; Nahool, T. A.

doi:10.4236/jmp.2014.517188

Cited by 11 publications

(6 citation statements)

References 22 publications

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“…The massive studies proved that the correlation between charmonium states and those of positronium is almost perfect (Griffiths, 2008). This consideration may be extended to describe the heavier sibling, bottomonium, and to treat both of them in the non-relativistic limit by means of Schrödinger equation with associated potential depending on the distance r between the quark and antiquark (Ali, 2015;Yasser, Hassan, & Nahool, 2014).…”

Section: The Hamiltonian Modelmentioning

confidence: 96%

The spectrum of charmed quarkonium in non-relativistic quark model using matrix Numerov’s method

Ali¹,

Hassan

Abdel-Monem

et al. 2020

Journal of Radiation Research and Applied Sciences

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Through the introduced work a viable numerical scheme has been developed, using Numerov's method, to study the energy spectra of mesons and hadronic interactions. Upon the implementation of the non-relativistic quark model and the Quantum Chromodynamics theory elements which describe the phenomenological interactions between the charm-anticharm quarks via two proposed potentials, our model accurately predicts the mass spectra of charmed quarkonium as an example of mesonic systems. It was found that our results agree well with the experimental charmonium masses that were published via the Particle Data Group (PDG). The proposed model has been tested for numerical instabilities and found that it works well for both proposed potentials. Although this model is suited to study the dynamics of charmonium interactions, we found that the results for one of the potentials are in better agreement with the published data. In addition, we predicted the mass spectrum of new charmed multiplets using the same previously mentioned potentials.

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Section: The Hamiltonian Modelmentioning

confidence: 96%

The spectrum of charmed quarkonium in non-relativistic quark model using matrix Numerov’s method

Ali¹,

Hassan

Abdel-Monem

et al. 2020

Journal of Radiation Research and Applied Sciences

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“…Since the discovery of the first quark-antiquark system, namely the charmonium states J/ and ψ` in November revolution 1974, the charmonium system has become the prototypical the exotic atom positronium e e + of meson spectroscopy [20][21][22]. It is found that, the correlation between charmonium states and those of positronium is almost perfect [17], [23,24]. In the aftermath, many quark-antiquark systems have been discovered.…”

Section: The Modelmentioning

confidence: 99%

“…The spin-spin contact hyperfine interaction term S ⃗ . S ⃗ is one of the spin-dependent terms predicted by OGE (One Gluon Exchange) forces [9], [32], [24].…”

Section: Potential Energymentioning

confidence: 99%

See 1 more Smart Citation

Spectra of Quark-Antiquark Bound States via Two Derived QCD Potentials

Ali¹,

Yasser

Hassan³

et al. 2016

Quant. Phys. Lett.

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In the current paper, we propose two types of quark-antiquark interactions, which may be tailored to describe various meson sectors. The interactions contain Quantum Chromodynamics (QCD) inspired components, such as the Coulomb-like interaction, the confinement linear potential, and the spin-spin interaction. Our scheme relies on the non-relativistic quark model through the introduction of two derived QCD potential models. The application of the two proposed potentials resulted in spectra for bound states, which are compared with published experimental data. We found that one of the two potentials is favored over the other in terms of high precision comparisons.

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“…There are many potential models commonly used to study heavy quarkonium spectra [6][7][8][9]. One of the most successful potential for such systems is the non-relativistic potential model [10][11][12][13]. We adopt the Cornell plus hyperfine correction plus spin-dependent terms model [14] to accurately obtain the ̅ spectrum of quark interactions for S and P states.…”

mentioning

confidence: 99%

Charmonium Properties

Nahool

Mostafa

Anwar

et al. 2020

EEJP

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We calculated the mass spectra of charmonium meson by using matrix method to make the predictions of ground and radially excited states of charmonium mesons via non-relativistic potential model. We compared our results with other theoretical approaches and recently published experimental data. The predictions are found to be in a good accordance with the latest experimental results of Particle data group and with the results of other theoretical approaches. Besides, we calculated the momentum width coefficients β of charmonium meson. Since, there are no experimental data for the momentum width coefficients β of charmonium meson yet. Consequently, our calculated coefficients β are compared with other theoretical studies and it is found to be in a good agreement with our results. The obtained results of coefficients β have implications for decay constants, decay widths and differential cross sections for charmonium system and generally for heavy mesons system. Our study is considered as theoretical calculation of some properties of charmonium meson.

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A Study of Some Properties of Bottomonium

Cited by 11 publications

References 22 publications

The spectrum of charmed quarkonium in non-relativistic quark model using matrix Numerov’s method

The spectrum of charmed quarkonium in non-relativistic quark model using matrix Numerov’s method

Spectra of Quark-Antiquark Bound States via Two Derived QCD Potentials

Charmonium Properties

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