Composite Structure of Hadrons and One-Particle Distribution Function

TENSOR STRUCTURE FUNCTION b1(x) FOR SPIN-ONE HADRONS

High-energy spin physics became a popular topic recently after the EMC finding for the proton’s spin content. There exist unmeasured spin-dependent structure functions (b1, b2, b3, and b4) for spin-one hadrons such as the deuteron. The tensor structure function b1(x) could be measured by the proposed 15 GeV European Electron Facility. The measurement provides important clues to physics of non-n...

On one-to-one correspondence of Gibbs distribution and reduced two-particle distribution function

In this article it is shown that in an equilibrium classical canonical ensemble of molecules with two-body interaction and external field full Gibbs distribution can be uniquely expressed in terms of a reduced two-particle distribution function. This means that while a number of particles N and a volume V are fixed the reduced two-particle distribution function contains as much information abou...

Invariance of the relativistic one - particle distribution function

The one-particle distribution function is of importance both in non-relativistic and relativistic statistical physics. In the relativistic framework, Lorentz invariance is possibly its most fundamental property. The present article on the subject is a contrastive one : we review, discuss critically, and, when necessary, complete, the treatments found in the standard literature. PACS numbers: 03...

Composite Hadrons and Relativistic Nuclei

One-particle density matrix and momentum distribution function of one-dimensional anyon gases

We present a systematic study of the Green functions of a onedimensional gas of impenetrable anyons. We show that the one-particle density matrix is the determinant of a Toeplitz matrix whose large N asymptotic is given by the Fisher-Hartwig conjecture. We provide a careful numerical analysis of this determinant for general values of the anyonic parameter, showing in full details the crossover ...