  In this work we consider $(1,1)-$dimensional resonant Dirac fermionic states
on tube-like topological defects. The defects are formed by rings in $(2,1)$
dimensions, constructed with two scalar field $\phi$ and $\chi$, and embedded
in the $(3,1)-$dimensional Minkowski spacetime. The tube-like defects are
attained from a lagrangian density explicitly dependent with the radial
distance $r$ relative to the ring axis and the radius and thickness of the its
cross-section are related to the energy density. For our purposes we analyze a
general Yukawa-like coupling between the topological defect and the fermionic
field $\eta F(\phi,\chi)\bar\psi\psi$. With a convenient decomposition of the
fermionic fields in left- and right- chiralities, we establish a coupled set of
first order differential equations for the amplitudes of the left- and right-
components of the Dirac field. After decoupling and decomposing the amplitudes
in polar coordinates, the radial modes satisfy Schr\"odinger-like equations
whose eigenvalues are the masses of the fermionic resonances. With
$F(\phi,\chi)=\phi\chi$ the Schr\"odinger-like equations are numerically solved
with appropriated boundary conditions. Several resonance peaks for both
chiralities are obtained, and the results are confronted with the qualitative
analysis of the Schr\"odinger-like potentials.
