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

      Bhaskar Jyoti Hazarika D K Choudhury

      Research Articles Volume 75 Issue 3 September 2010 pp 423-438

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/075/03/0423-0438

    • Keywords

       

      Variationally improved perturbation theory; Isgur–Wise function; charge radii; convexity parameter.

    • Abstract

       

      We used variationally improved perturbation theory (VIPT) in calculating the slope and curvature of Isgur–Wise (I–W) function with the Cornell potential $− \dfrac{4\alpha_{s}}{3r} br + c$ instead of the usual stationary state perturbation theory as done earlier. We used $−(4\alpha_{s} /3r)$, 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.

    • Author Affiliations

       

      Bhaskar Jyoti Hazarika1 D K Choudhury2

      1. Department of Physics, Pandu College, Guwahati 781 012, India
      2. Department of Physics, Gauhati University, Guwahati 781 014, India

    • Dates

       
      Published
      September 2010
      Manuscript received
      9 January 2010
      Manuscript revised
      12 April 2010
      Accepted
      28 April 2010

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