Hard-core collisional dynamics in Hamiltonian mean-field model

•Systems with long range interactions have drawn a great deal of attention over the last few decades, not only because they are common in nature (e.g. self-gravitating systems and charged plasmas), but also due to many unusual phenomena not observed in short-range interacting systems. In the present paper we discuss for the Hamiltonian mean-field model, a much studied system, the effects on the system dynamics of the introduction of a hard-core point-like interaction, resulting in a system with both global and strong short-range interactions.•We developed a numeric algorithm for the molecular dynamics of this type of mixed interaction, and applied it to understand how the violent relaxation and the long-term dynamics are altered.•This is a first and original step to understand how the special phenomenology of long-range interacting systems is altered by hard-core potentials, and point to new research and relevant open problems.