Speaker
Description
In this work, we address how the properties of a specific
hadronic probe in the form of heavy quark-antiquark bound states
can be affected in a thermal medium
of quarks and gluons with finite chemical potential ($\mu$) under
the influence of a strong magnetic field, unlike the same
in the absence of finite $\mu$ reported in the literature.
The aforesaid problem may be relevant to the matter
produced in relativistic heavy ion collisions. The effect of strong magnetic field
on the properties of the heavy quarkonia in a baryon symmetric matter
has recently been studied either by computing the potential perturbatively or by a
generalized Gauss law.
However, the medium correction to the non-perturbative string term
gets inducted by dimension-two gluon condensate in usual resummed
HTL propagator.
We have started with the general covariant tensor
structure of the gluon self-energy in above environment for a thermal QCD
medium with finite $\mu$ and have
obtained the real and imaginary parts of
resummed gluon propagator by calculating the relevant
form factors. These real and imaginary parts of the resummed propagator
in the static limit facilitate the computation of
the complex potential between $Q$ and $\bar Q$ in coordinate
space through inverse Fourier transform. We have included
a phenomenological non-perturbative term induced by the dimension two
gluon condensate to the usual HTL resummed propagator to evaluate the medium modification to string part of the $Q\bar{Q}$ potential.
We observe that in the presence of the baryon asymmetry, the real-part of
potential becomes slightly more attractive.
The more attractive nature of the real part can be
understood in terms of the Debye mass which inherits the medium properties
and decreases with the chemical potential. The magnitude of the
imaginary-part gets reduced in the medium having finite chemical potential.
We have solved the radial part of the Schr\"{o}dinger equation numerically plugging the real-part of the potential to obtain the energy eigenvalues which are utilized to calculate the binding energy of quarkonia.
The decay width has been calculated considering the imaginary part of the potential as a perturbation in the small distance limit.
Presence of the chemical potential in the medium
leads to the enhancement of binding energies and the reduction
of thermal widths of $Q \bar Q$
ground states, respectively. Finally, we compute the dissociation temperatures of $J/\psi$ and $\Upsilon$ states by
studying the relative competition between the binding energy and decay width.
Dissociation temperatures are found to have slightly larger values in the medium
having non-zero baryon density. We have noticed that $J/\psi$ gets dissociated at
$1.64~T_c$, $1.69~T_c$, and $1.75~T_c$, whereas $\Upsilon$ is
dissociated at $1.95~T_c$, $1.97~T_c$ and $2.00 ~T_c$, for
$\mu=0, 60$ and $ 100 $ MeV, respectively. In conclusion, the strongly
magnetized hot quark matter having non-zero baryon density prevents
early dissociation of quarkonia as compared to the baryonless matter.
