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Open Quantum Systems Decoherence

Analytical Investigation of Meson Spectrum via Exact Quantization Rule Approach

arXiv
Authors: Etido P. Inyang, Ephraim P. Inyang, Eddy S. William, Etebong E. Ibekwe, Ita O. Akpan

Year

2020

Paper ID

18263

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We solved the radial Schr"odinger equation analytically using the Exact Quantization Rule approach to obtain the energy eigenvalues with the Extended Cornell potential ECP. The present results are applied for calculating the mass spectra of heavy mesons such as charmonium cc and bottomonium bb, and heavylight mesons such as bottom-charm bc and charm-Strange cs for different quantum states. Two special cases were considered when some of the potential parameters were set to zero, resulting into Coulomb potential, and Cornell potential, respectively. The present potential provides excellent results in comparison with experimental data with a maximum error of 0.0065 GeV and work of other researchers.

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We solved the radial Schr"odinger equation analytically using the Exact Quantization Rule approach to obtain the energy eigenvalues with the Extended Cornell potential ECP.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2012.10639 [2] arXiv https://arxiv.org/abs/2012.10639 [3] Publisher https://arxiv.org/abs/2012.10639

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