  The in-medium sum rules are employed to calculate the shifts in the mass and
residue as well as the scalar and vector self-energies of the heavy $\Lambda_Q,
\Sigma_Q$ and $\Xi_Q$ baryons, with Q being $b$ or $c$ quark. The maximum shift
in mass due to nuclear matter belongs to the $\Sigma_c$ baryon and it is found
to be $\Delta m_{\Sigma_{c}}=-936 ~ MeV$. In the case of residue, it is
obtained that the residue of $\Sigma_b$ baryon is maximally affected by the
nuclear medium with the shift $\Delta \lambda_{\Sigma_b} = -0.014 ~ GeV^3 $.
The scalar and vector self-energies are found to be $\Sigma^{S}_{\Lambda_b} =
653 ~ MeV$, $\Sigma^{S}_{\Sigma_b} = -614 ~ MeV $, $\Sigma^{S}_{\Xi_b} = -17 ~
MeV $, $\Sigma^{S}_{\Lambda_c} = 272 ~ MeV $, $\Sigma^{S}_{\Sigma_c} = -936 ~
MeV $, $\Sigma^{S}_{\Xi_c} = -5 ~ MeV $ and $\Sigma^{\nu}_{\Lambda_b} = 436 \pm
148 ~ MeV $, $\Sigma^{\nu}_{\Sigma_b} = 382 \pm 129 ~MeV $,
$\Sigma^{\nu}_{\Xi_b} =15 \pm 5 ~ MeV$, $\Sigma^{\nu}_{\Lambda_c} = 151 \pm 45
~ MeV $, $\Sigma^{\nu}_{\Sigma_c} = 486 \pm 144 ~ MeV $ and
$\Sigma^{\nu}_{\Xi_c} = 1.391 \pm 0.529 ~ MeV $.
