9,329 research outputs found
Isgur-Wise function in a QCD potential model with coulombic potential as perturbation
We study heavy light mesons in a QCD inspired quark model with the Cornell
potential. Here we consider the linear term
as the parent and i.e.the Coloumbic part as the
perturbation.The linear parent leads to Airy function as the unperturbed
wavefunction. We then use the Dalgarno method of perturbation theory to obtain
the total wavefunction corrected upto first order with Coulombic peice as the
perturbation.With these wavefunctions, we study the Isgur-Wise function and
calculate its slope and curvature.Comment: paper has been modified in Airy functions calculation upto o(r^3
An analysis of the Isgur-Wise Function and its derivatives within a Heavy-Light QCD Quark Model
In determining the mesonic wave function from QCD inspired potential model,
if the linear confinement term is taken as parent (with columbic term as
perturbation), Airy's function appears in the resultant wave function - which
is an infinite series. In the study of Isgur-Wise function (IWF) and its
derivatives with such a wave function, the infinite upper limit of integration
gives rise to divergence. In this paper, we have proposed some reasonable
cut-off values for the upper limit of such integrations and studied the
subsequent effect on the results. We also study the sensitivity of the order of
polynomial approximation of the infinite Airy series in calculating the
derivatives of IWF.Comment: 14 pages,6 tables 8 figure
Effective String Theory Inspired Potential and Meson Masses in Higher Dimension
Nambu-Goto action in classical bosonic string model for hadrons predicts
quark-antiquark potential to be\cite{Nambu-Goto} . In this report we present studies of masses of heavy flavour mesons
in higher dimension with our recently developed wave functions obtained
following string inspired potential. We report the dimensional dependence of
the masses of mesons. Our results suggest that as the meson mass increases with
the number of extra spatial dimension, it will attain the Planck scale () asymptotically at an astronomically large spatial dimension (we
call it Planck dimension) , which sets the limit of
applicability of Schrodinger equation in large dimension
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