  We study the tunneling time of Dirac fermions in graphene magnetic barrier
through an electrostatic potential and a mass term. This latter generates an
energy gap in the spectrum and therefore affects the proprieties of tunneling
of the system. For clarification, we first start by deriving the eigenspinors
solutions of Dirac equation and second connect them to the incident, reflected
and transmitted beam waves. This connection allows us to obtain the
corresponding phases shifts and consequently compute the group delay time in
transmission and reflection. Our numerical results show that the group delay
time depends strongly on the energy gap in the tunneling process through single
barrier. Moreover, we find that the group approaches unity at some critical
value of the energy gap and becomes independent to the strengths of involved
physical parameters.
