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In this article, we discuss a bivariate distribution whose conditionals are univariate binomial distributions and the marginals are not binomial that exhibits negative correlation. Some useful structural properties of this distribution…

Methodology · Statistics 2023-01-10 Indranil Ghosh , Filipe Marques , Subrata Chakraborty

Explicit expressions for pion correlators are derived in position-space, employing Chiral Perturbation Theory (ChPT). Resonance exchange contributions are included to test the range of applicability of the leading-order ChPT expressions.…

High Energy Physics - Phenomenology · Physics 2016-12-26 Peter C. Bruns

No conventional picture of nucleus-nucleus collisions has yet been able to explain the abundance of Omega and AntiOmega in central collisions between Pb nuclei at 158 A GeV at the CERN SPS. We argue that such a deviation from predictions of…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. I. Kapusta , S. M. H. Wong

We present the tomographical structure of baryons by studying the nonforward matrix elements of lightlike correlation functions of the tensor current. At the leading twist, with the tensor current, four chiral-odd distributions are in…

High Energy Physics - Phenomenology · Physics 2026-01-30 Navpreet Kaur , Monika Randhawa , Harleen Dahiya

A three-parameter discrete distribution is developed to describe the multiplicity distributions observed in total- and limited phase space volumes in different collision processes. The probability law is obtained by the Poisson transform of…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Hegyi

We compute the probability distribution $P(N)$ of the net-baryon number at finite temperature and quark-chemical potential, $\mu$, at a physical value of the pion mass in the quark-meson model within the functional renormalization group…

High Energy Physics - Phenomenology · Physics 2018-05-09 Kenji Morita , Bengt Friman , Krzysztof Redlich

We investigate a domain-structured source in the pion interferometry of relativistic nuclear collisions. The source emits coherent pions intermittently with the background of chaotic pions. The coherent pions examined are either of a…

Nuclear Theory · Physics 2007-05-23 Hiroki Nakamura , Ryoichi Seki

The SU(3) extension of the linear sigma model is employed to elucidate the effect of including strangeness on the formation of disoriented chiral condensates. By means of a Hartree factorization, approximate dispersion relations for the 18…

Nuclear Theory · Physics 2014-11-18 J. Schaffner-Bielich , J. Randrup

We show that for planar dispersing billiards the return times distribution is, in the limit, Poisson for metric balls almost everywhere w.r.t. the SRB measure. Since the Poincar\'e return map is piecewise smooth but becomes singular at the…

Dynamical Systems · Mathematics 2014-11-10 Jorge Milhazes Freitas , Nicolai Haydn , Matthew Nicol

A dielectric medium consisting of roughly polarized molecules is treated as a 3D disordered spin system (spin glass). A microscopic approach for the study of statistical properties of this system on micrometer space scale and nanosecond…

Soft Condensed Matter · Physics 2007-05-23 Ashot S. Gevorkyan , Chin-Kun Hu

The nonequilibrium dynamics of the chiral phase transition expected during the expansion of the quark-qluon plasma produced in a high energy hadron or heavy ion collision is studied in the O(4) linear sigma model to leading order in a large…

High Energy Physics - Phenomenology · Physics 2009-10-28 Fred Cooper , Yuval Kluger , Emil Mottola , Juan Pablo Paz

Any-order pion interferometry formulas for fixed pion multiplicity events and for mixed events are given. Multipion Bose-Einstein correlation effects on the two-pion interferometry and source distribution are studied. It is shown that…

High Energy Physics - Phenomenology · Physics 2007-05-23 Q. H. Zhang

The mass distributions of baryon resonances populated in near-central collisions of Au on Au and Ni on Ni are deduced by defolding the $p_t$ spectra of charged pions by a method which does not depend on a specific resonance shape. In…

Nuclear Experiment · Physics 2009-10-31 M. Eskef , D. Pelte , FOPI collaboration

Positivity constraints are derived for the generalized parton distributions (GPDs) of spin-1/2 hadrons. The analysis covers the full set of eight twist-2 GPDs. Several new inequalities are obtained which constrain GPDs by various…

High Energy Physics - Phenomenology · Physics 2016-09-06 P. V. Pobylitsa

In this article, we obtain, for the total variance distance, the error bounds between Poisson and convolution of power series distributions via Stein's method. This provides a unified approach to many known discrete distributions. Several…

Probability · Mathematics 2020-06-26 A. N. Kumar , P. Vellaisamy , F. Viens

We present an extensive study on generalized parton distributions of pions. In particular, we present the results for the pion-photon transition distribution amplitudes in the Nambu - Jona-Lasinio model. We discuss the phenomenology of such…

High Energy Physics - Phenomenology · Physics 2010-10-15 A. Courtoy

We show how generalized quark distributions in the nucleon describe the density of polarized quarks in the impact parameter plane, both for longitudinal and transverse polarization of the quark and the nucleon. This density representation…

High Energy Physics - Phenomenology · Physics 2009-01-07 M. Diehl , Ph. Hagler

The behavior of the pion dispersion relation in a pion medium is strongly modified by the introduction of a finite chemical potential associated to the finite pion number density. Such behavior is particularly important during the hadronic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alejandro Ayala

We consider pion pair production in two-photon collisions, gamma* gamma -> pi+ pi-, at large photon virtuality Q^2 and center-of-mass energy \sqrt{s} in the hard-scattering picture. In the limit where s is large but s << Q^2 we derive an…

High Energy Physics - Phenomenology · Physics 2009-10-31 M. Diehl , Th. Feldmann , P. Kroll , C. Vogt

In this paper, we propose a discrete circular distribution obtained by extending the wrapped Poisson distribution. This new distribution, the Invariant Wrapped Poisson (IWP), enjoys numerous advantages: simple tractable density,…