We investigate the strong force fields and stabilities of the nucleon and the singly heavy baryon $Sigma_c$ within the framework of the chiral quark-soliton model. Having constructed the pion mean fields in the presence of the $N_c-1$ level quarks self-consistently, we are able to examine the gravitational form factors of $Sigma_c$. We mainly focus in the present work on the stability conditions for both the nucleon and $Sigma_c$ and discuss the strong force fields and their physical implications. We also present the results for the gravitational form factors and relevant observables, emphasising the difference between the nucleon and $Sigma_c$.
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