On equilibrium intensive thermodynamic properties of composed p-particles in many-body systems

Equilibrium intensive thermodynamic properties of p-particles (p-ons), i.e. , composed particles formed by few particles of the same nature such as fer mion or boson pairs (p = 2), trios (p = 3), etc., are investigated. The rel ation of the p-particle correlation functions to its p-hole counterparts an d an existing covariant structure in the hierarchy of the p-particle correl ation functions allow these generalized intensive properties to be properly defined and characterized. The connection between these generalized proper ties of the composed objects and those of the components is also derived. A n explicit derivation of the chemical potential for pairs and its generaliz ation to p-particles is performed. Such results are further extended to any intensive property. Finally, the present development allows some previous results to be clearly interpreted thus yielding an important support for ou r theory. (C) 2001 John Wiley & Sons, Inc.