Hard-core Radius of Nucleons within the Induced Surface Tension Approach

Abstract

In this work we discuss a novel approach to model the hadronic and nuclear matter equations of state using the induced surface tension concept. Since the obtained equations of state, classical and quantum, are among the most successful ones in describing the properties of low density phases of strongly interacting matter, they set strong restrictions on the possible value of the hard-core radius of nucleons. Therefore, we perform a detailed analysis of its value which follows from hadronic and nuclear matter properties and find the most trustworthy range of its values: the hard-core radius of nucleons is 0.30--0.36 fm. A comparison with the phenomenology of neutron stars implies that the hard-core radius of nucleons has to be temperature and density dependent.

12 pages, 4 figures, references added, typos corrected

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• Density-dependent van der Waals model under the GW170817 constraint
• Self-consistent Treatment of Quantum Gases of D-dimensional Hard Spheres Beyond the Van der Waals Approximation
• Constraints and correlations of nuclear matter parameters from a density-dependent van der Waals model
• Collective nuclear vibrations and initial state shape fluctuations in central Pb+Pb collisions: resolving the $v_2$ to $v_3$ puzzle
• Resolution of hyper-triton chemical freeze-out puzzle in high energy nuclear collisions
• Recent astrophysical observations reproduced by a short-range correlated van der Waals-type model?
• Influence of collective nuclear vibrations on initial state eccentricities in Pb+Pb collisions
• Classical excluded volumes of loosely bound light (anti)nuclei and their chemical freeze-out in heavy ion collisions
• Bose-Einstein Condensation of Quantum Hard-Spheres as a Deposition Phase Transition and New Relations Between Bosonic and Fermionic Pressures
• Induced Surface and Curvature Tensions Equation of State of Hadrons with Relativistic Excluded Volumes and its Relation to Morphological Thermodynamics