  The N-radial Schr\"odinger equation is analytically solved by using SUSYQM
method, in which the heavy quarkonia potential is introduced at finite
temperature and baryon chemical potential. The energy eigenvalue is calculated
in the N-dimensional space. The obtained results show that the binding energy
strongly decreases with increasing temperature and is slightly sensitive for
changing baryon chemical potential up to 0.6 GeV at higher values of
temperatures. We employed the nonperturbative corrections to the leading-order
of the Debye mass at finite baryon chemical potential. We found that the
binding energy is more dissociates when the nonperturbative corrections are
included with the leading-order term of Debye mass in both hot and dense media.
A comparison is discussed with other works such as the lattice parameterized of
Debye mas. Thus, the present potential with the SUSYQM method provides
satisfying results for the description of the dissociation of binding energy
for heavy quarkonia in hot and dense media.
