Ground and Excited State Mass Spectra and Properties of Heavy-Light Mesons

Allosh, Mohamed; Mustafa, Yasser Fakri; Ahmed, Nagwa S.; Mustafa, A.

doi:10.1007/s00601-021-01608-1

Cited by 13 publications

(4 citation statements)

References 22 publications

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“…The study of the behavior of quite a lot of physical problems in physics requires the solving of the SE. The solutions can be well-known only if we know the confining potential for a particular physical system [1][2][3][4]. The theory of quantum chromodynamics (QCD) which is described by the meson system is mediated by strong interactions [5].…”

Section: Introductionmentioning

confidence: 99%

Theoretical Investigation of Meson Spectrum via Exact Quantization Rule Technique

Inyang,

Faithpraise,

Amajama

et al. 2023

East Eur. J. Phys.

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The energy eigenvalues with the Extended Cornell potential were obtained by analytically solving the radial Schrödinger equation using the Exact Quantization Rule technique (ECP). It was then used for computing the mass spectra of the heavy mesons like charmonium (cc-) and bottomonium (bb-) as well as heavy-light mesons such as bottom-charm bc- and charm-Strange cs- for various quantum states. Two exceptional cases such as the Coulomb and Cornell potentials, were taken into consideration when some of the potential parameters were set to zero. The current potential offers good outcomes when compared to experimental data and work of other researchers with a maximum error of 0.0065 GeV.

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Section: Introductionmentioning

confidence: 99%

Theoretical Investigation of Meson Spectrum via Exact Quantization Rule Technique

Inyang,

Faithpraise,

Amajama

et al. 2023

East Eur. J. Phys.

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show abstract

“…These eigenvalues and eigenfunction can be used to study the mass spectra (MS) of the heavy mesons, and theoretic measures, among other things [1,2,3,4]. In describing the interaction of charmonium (cc) and bottomonium (b b), a Cornell potential (CP) is used because of the Coulomb interaction and a confining term [5]. More so, in solving the SE with any potential of choice, analytical methods 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.

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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.

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“…The determination of the dynamics of non-relativistic particles in quantum mechanics such as, the thermodynamic properties of the system, mass spectra of mesons, among others, is possible through the solutions of the Schrödinger equation (SE) [1][2][3][4][5]. The solutions of the SE with dissimilar potential functions have been investigated by many authors [6][7][8][9][10].…”

mentioning

confidence: 99%

Solutions of the Schrödinger equation with Hulthén-screened Kratzer potential: Application to Diatomic Molecules

Inyang

Iwuji

Ntibi

et al. 2022

EEJP

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In this study, the Schrödinger equation with the Hulthén plus screened Kratzer potentials (HSKP) are solved via the Nikiforov-Uvarov (NU) and the series expansion methods. We obtained the energy equation and the wave function in closed form with Greene-Aldrich approximation via the NU method. The series expansion method was also used to obtain the energy equation of HSKP. Three distinct cases were obtained from the combined potentials. The energy eigenvalues of HSKP for HCl, LiH, H2, and NO diatomic molecules were computed for various quantum states. To test the accuracy of our results, we computed the bound states energy of HCl and LiH, for a special case of Kratzer and screened Kratzer potentials, which are in excellent agreement with the report of other researchers.

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Ground and Excited State Mass Spectra and Properties of Heavy-Light Mesons

Cited by 13 publications

References 22 publications

Theoretical Investigation of Meson Spectrum via Exact Quantization Rule Technique

Theoretical Investigation of Meson Spectrum via Exact Quantization Rule Technique

Masses and thermal properties of a Charmonium and Bottomonium Mesons

Solutions of the Schrödinger equation with Hulthén-screened Kratzer potential: Application to Diatomic Molecules

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