  Recent analyses show that it is possible to produce a strong magnetic field
at a very early stage of ultrarelativistic heavy ion collisions (URHIC),
therefore, the effect of homogeneity and constant strong magnetic field on the
heavy meson spectrum quarkonium is studied which the states are described as
charmonium and bottominum in a non-relativistic framework and by Debye screen
potential. In particular, a model that takes into account potential isotopes
emerging at the level of quark-static potential, as has been observed in recent
studies. Investigation is performed with and without regard to the non-isotope
of fixed potential, in order to better clarify its effects.
