Competition between fermions and bosons in nuclear matter at low densities and finite temperatures

J. Mabiala, H. Zheng, A. Bonasera, Z. Kohley, and S. J. Yennello
Phys. Rev. C 94, 064617 – Published 29 December 2016

Abstract

We derive the free energy for fermions and bosons from fragmentation data. Inspired by the symmetry and pairing energy of the Weizsäcker 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 α 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 α-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 α particles at subsaturation densities and finite temperatures.

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  • Received 29 March 2016
  • Revised 2 May 2016

DOI:https://doi.org/10.1103/PhysRevC.94.064617

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear Physics

Authors & Affiliations

J. Mabiala1,*, H. Zheng2, A. Bonasera2,3, Z. Kohley4, and S. J. Yennello3,5

  • 1INFN, Laboratori Nazionali di Legnaro, Italy
  • 2Laboratori Nazionali del Sud, INFN, via Santa Sofia, 62, 95123 Catania, Italy
  • 3Cyclotron Institute, Texas A&M University, College Station, Texas 77843, USA
  • 4National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA
  • 5Chemistry Department, Texas A&M University, College Station, Texas 77843, USA

  • *justin.mabiala@lnl.infn.it

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Issue

Vol. 94, Iss. 6 — December 2016

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