Competition between fermions and bosons in nuclear matter at low densities and finite temperatures
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2016 American Physical Society. We derive the free energy for fermions and bosons from fragmentation data. Inspired by the symmetry and pairing energy of the Weizscker mass formula, we obtain the free energy of fermions (nucleons) and bosons (alphas and deuterons) using Landau's free-energy approach. We confirm previously obtained results for fermions and show that the free energy for particles is negative and close to the free energy for ideal Bose gases and in perfect agreement with the free energy of an interacting Bose gas under the repulsive Coulomb force. Deuterons behave more similarly to fermions (positive free energy) rather than bosons, which is probably due to their low binding energy. We show that the -particle fraction is dominant at all temperatures and densities explored in this work. This is consistent with their negative free energy, which favors clusterization of nuclear matter into particles at subsaturation densities and finite temperatures.