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Slope and curvature of Isgur-Wise function using variationally improved perturbation theory in a quantum chromodynamics inspired potential model

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Abstract

We used variationally improved perturbation theory (VIPT) in calculating the slope and curvature of Isgur-Wise (I-W) function with the Cornell potential −\( \frac{{4\alpha _s }} {{3r}} \)+br + c instead of the usual stationary state perturbation theory as done earlier. We used −(4α s /3r), i.e. the Coulombic potential, as the parent and the linear one, i.e. br+c as the perturbed potential in the theory and calculated the slope and curvature of Isgur-Wise function including three states in the summation involved in the first-order correction to wave function in the method.

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Authors and Affiliations

  1. Department of Physics, Pandu College, Guwahati, 781 012, India

    Bhaskar Jyoti Hazarika

  2. Department of Physics, Gauhati University, Guwahati, 781 014, India

    D. K. Choudhury

Authors
  1. Bhaskar Jyoti Hazarika
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  2. D. K. Choudhury
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Correspondence to Bhaskar Jyoti Hazarika.

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Hazarika, B.J., Choudhury, D.K. Slope and curvature of Isgur-Wise function using variationally improved perturbation theory in a quantum chromodynamics inspired potential model. Pramana - J Phys 75, 423–438 (2010). https://doi.org/10.1007/s12043-010-0128-2

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  • DOI: https://doi.org/10.1007/s12043-010-0128-2

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