Calculation of the binding energy of the lithium nucleus with the yukawa potential and the hellmann potential using WKB approximation

Suaif, Ahmad; Rahmawati, Dien; Su’ud, Zaki

doi:10.1088/1742-6596/1204/1/012052

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2022

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“…Moreover, the authors in Refs. [15][16][17][18][19][20][21][22] have used WKB method to study mass spectra under various potential energies. The bound state solution to the wave equations under the quark-antiquark interaction potential functions such as the Killingbeck or the Cornell potential have attracted much research interest in high energy physics [18].…”

Section: Introductionmentioning

confidence: 99%

WKB approximation under Killingbeck potential and its application to double heavy meson mass spectrum

chosto¹,

Wang²,

Gao³

et al. 2022

Preprint

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As we all known that non-relativistic or semi-relativistic constituent quark models can describe a large number of the meson sand baryon properties with surprising accuracy. In this work, we studied Killingbeck potential by using WKB approximation in the constituent quark model. The implicit approximate solution of the energy eigenvalue of the Schrödinger equation is obtained by using appropriate quantization conditions. Under the Killingbeck potential with the WKB approximation, we studied the spectra of double heavy mesons and predict the masses of high excited states in cc, b b and bc families. Finally, we discuss the application scope of double heavy mesons in Killingbeck potential.

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