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Bose-Einstein Condensation in the Relativistic Ideal Bose Gas

M. GretherFacultad de Ciencias, Universidad Nacional Autónoma de México, 04510 México, DF, MexicoM. de LlanoTexas Center for Superconductivity, University of Houston, Houston, Texas 77204, USA and Instituto de Investigaciones en Materiales, Universidad Nacional Autónoma de México, 04510 México, DF, Mexico*George A. BakerTheoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
2007en
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The Bose-Einstein condensation (BEC) critical temperature in a relativistic ideal Bose gas of identical bosons, with and without the antibosons expected to be pair-produced abundantly at sufficiently hot temperatures, is exactly calculated for all boson number densities, all boson point rest masses, and all temperatures. The Helmholtz free energy at the critical BEC temperature is lower with antibosons, thus implying that omitting antibosons always leads to the computation of a metastable state.

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