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Hazarika, Bhaskar Jyoti; Pathak, Krishna Kingkar; Choudhury, D. K.

Isgur-Wise function in a QCD potential model with coulombic potential as perturbation. (English) Zbl 1274.81228

Mod. Phys. Lett. A 26, No. 21, 1547-1554 (2011).
Summary: We study heavy light mesons in a QCD inspired quark model with the Cornell potential \(-\frac{4\alpha_{S}}{3r}+br+c\). Here we consider the linear term \(br\) as the parent and \(-\frac{4\alpha_{S}}+c\), i.e. the Coloumbic part as the perturbation. The linear parent leads to Airy function as the unperturbed wave function. We then use the Dalgarno method of perturbation theory to obtain the total wave function corrected up to first order with Coulombic piece as the perturbation. With these wave functions, we study the Isgur-Wise function and calculate its slope and curvature.

Cited in 1 Document

MSC:

81V05 Strong interaction, including quantum chromodynamics
81V35 Nuclear physics

Keywords:

Dalgarno method; Isgur-Wise function; slope and curvature
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