I discuss the properties of the Lambda(c) baryon in nuclear matter at zero or finite temperature. Starting from the Lagrangian based on the heavy-quark effective theory, I derive the effective Lagrangian for the Lambda(c) baryon existing as an impurity particle. Adopting the one-loop calculation for nucleons, I derive the effective potential as the quantity for measuring the stability of the Lambda(c) baryon in nuclear matter. The parameters in the Lagrangian are fitted to reproduce the scattering length of the nucleon and the Lambda(c) baryon estimated in the lattice QCD simulations and the chiral extrapolations. I present that the Lambda(c) baryon is bound in nuclei with the binding energy of about 20 MeV at normal nuclear-matter density. I discuss the case that the Lambda(c) baryon moves with a constant velocity. I also discuss an increase of the nucleon number density near the Lambda(c) baryon in nuclear matter, and show that the Lambda(c) baryon is a useful probe to research the nuclear systems at high density.
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