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Building upon our recent study arXiv:1709.04325, we investigate the feasibility of calculating the pion distribution amplitude from suitably chosen Euclidean correlation functions at large momentum. We demonstrate in this work the advantage…

A general expression is discussed for pion probability distributions coming from relativistic heavy ion collisions. The general expression contains as limits: 1) The disoriented chiral condensate (DCC), 2) the negative binomial distribution…

Nuclear Theory · Physics 2009-10-31 A. Z. Mekjian

We present a dispersion relation in the pion-mass squared, which static quantities (nucleon mass, magnetic moment, etc.) obey under the assumption of analyticity in the entire complex $m_\pi^2$ plane modulo a cut at negative $m_\pi^2$…

High Energy Physics - Phenomenology · Physics 2014-11-20 Tim Ledwig , Vladimir Pascalutsa , Marc Vanderhaeghen

We use the covariant current formalism to derive the general form of the 2-photon correlation function for fully chaotic sources. Motivated by the recent discussion in the literature we concentrate on the effects from the photon spin on the…

Nuclear Theory · Physics 2009-10-09 Claus Slotta , Ulrich Heinz

We study the HBT interferometry of ultra-relativistic nuclear collisions using a freezeout model in which free pions emerge in the course of the last binary collisions in the hadron gas. We show that the HBT correlators of both identical…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Makhlin , E. Surdutovich

We consider the dispersion relations of fermions that propagate in the background of a scalar Bose-Einstein condensate. Some illustrative examples are discussed using simple Yukawa-type coupling models between the fermions and the scalar…

High Energy Physics - Phenomenology · Physics 2023-06-21 José F. Nieves , Sarira Sahu

It is well understood that the studies of correlations between produced particles, the effects of coherence and chaoticity, an estimation of particle emitting source size play an important role in high energy physics [1]. First of all, we…

High Energy Physics - Phenomenology · Physics 2010-05-04 G. A. Kozlov

In this note we discuss additional properties of mixed Poisson distributions. We discuss the convergence of mixed Poisson distributions to its mixing distribution for the scaling parameter tending to infinity. Moreover, we obtain a central…

Probability · Mathematics 2025-02-13 Markus Kuba

We study the behavior of the pion dispersion relation in a pion medium at finite density and temperature. We introduce a pion chemical potential to describe the finite pion number density and argue that such description is valid during the…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. Ayala , P. Amore , A. Aranda

The statistical system of pions with zero total isospin is studied. The suppression effects for the average yields due to isospin conservation are the same for $\pi^0$, $\pi^+$ and $\pi^-$. However, a behavior of the corresponding particle…

Nuclear Theory · Physics 2014-11-20 V. V. Begun , M. I. Gorenstein , O. A. Mogilevsky

Bose-Einstein correlations in proton-proton collisions is an effective tool to study the space structure of the production amplitude. Usually rather simple parametrization of particle-emission distribution function has been used -…

High Energy Physics - Phenomenology · Physics 2019-10-23 V. A. Schegelsky

The saturation properties of the nuclear matter taking pion correlations into account is studied. We construct a Bogoliubov transformations for the pion pair operators and calculate the energy associated with the pion pairs. The pion…

Nuclear Theory · Physics 2011-03-21 P. K. Panda , S. Sarangi , J. da Providência

Photons and mesons are both bosons and therefore satisfy the same Bose-Einstein statistics. This leads to certain similarities in the corresponding Bose-Einstein correlations which underly photon and hadron intensity interferometry. However…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. M. Weiner

By deriving a general expression for multiplicity distribution (a conditional probability distribution) in statistical model, we demonstrate the mismatches between experimental measurements and previous theoretical calculations on…

Nuclear Theory · Physics 2016-05-31 Hao-jie Xu

We consider one-dimensional solitons in a binary Bose-Einstein condensate with linear coupling between the components, trapped in an optical-lattice potential. The inter-species and intra-species interactions may be both repulsive or…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed

Several hadronic observables have been studied in central 158 A GeV Pb+Pb collisions using data measured by the WA98 experiment at CERN: single negative pion and kaon production, as well as two- and three-pion interferometry. The…

Nuclear Experiment · Physics 2007-05-23 WA98 Collaboration , M. M. Aggarwal

q-deformed oscillators and the q-Bose gas model enable effective description of the observed non-Bose type behavior of the intercept ("strength") $\lambda^{(2)}\equiv C^{(2)}(K,K)-1$ of two-particle correlation function $C^{(2)}(p_1,p_2)$…

High Energy Physics - Phenomenology · Physics 2008-12-19 Alexandre M. Gavrilik

The multichannel S- and P-wave amplitudes for the pion-pion scattering, constructed requiring analyticity and unitarity of the S-matrix and using the uniformization procedure, are elaborated using the dispersion relations with imposed…

Nuclear Theory · Physics 2013-11-05 Petr Bydzovsky , Robert Kaminski

We study the combined effects of a finite volume and an external magnetic field on the charged two-pion correlation function. For these purposes, we consider a dilute system of pions where the finite volume effects are introduced computing…

High Energy Physics - Phenomenology · Physics 2022-03-14 Alejandro Ayala , Santiago Bernal-Langarica , Cristian Villavicencio

The geometric substructure of the particle-emitting source has been characterized via two-particle interferometry by the STAR collaboration for all energies and colliding systems at RHIC. We present systematic studies of charged pion…

Nuclear Experiment · Physics 2007-05-23 Z. Chajecki
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