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The observation of scaling in processes in which a weakly interacting probe delivers large momentum ${\bf q}$ to a many-body system reflects the dominance of incoherent scattering off target constituents. While a suitably defined scaling…

Nuclear Theory · Physics 2007-05-23 Omar Benhar

Atomic number ($A$) and energy ($\roots$) scaling exponents of multiplicity and transverse energy in heavy ion collisions are analytically derived in the perturbative QCD + saturation model. The exponents depend on the small-$x$ behaviour…

High Energy Physics - Phenomenology · Physics 2014-11-17 K. J. Eskola , K. Kajantie , K. Tuominen

Multiplicity fluctuations of intermediate-mass fragments are studied with the percolation model. It is shown that super-Poissonian fluctuations occur near the percolation transition and that this behavior is associated with the…

Nuclear Theory · Physics 2009-10-31 Tarek Gharib , Wolfgang Bauer , Scott Pratt

Multiplicity fluctuations are studied both globaly (in terms of high-order moments) and locally (in terms of small phase-space intervals). The ratio of cumulant factorial to factorial moments of the charged-particle multiplicity…

High Energy Physics - Experiment · Physics 2009-10-30 W. Kittel , S. V. Chekanov , D. J. Mangeol , W. J. Metzger

Linear rate equations are used to describe the cascading decay of an initial heavy cluster into fragments. We consider moments of arbitrary orders of the mass multiplicity spectrum and derive scaling properties pertaining to their time…

Nuclear Theory · Physics 2008-11-26 B. G. Giraud , R. Peschanski

In the kinematic region where three particles $i$, $j$, $k$ are collinear, the multi-parton scattering amplitudes factorise into a product of a triple collinear splitting function and a multi-parton scattering amplitude with two fewer…

High Energy Physics - Phenomenology · Physics 2023-09-11 Oscar Braun-White , Nigel Glover

Impact-induced fragmentation is a fundamental dissipative process in geosciences, yet its stochastic nature makes predicting debris evolution a persistent challenge. Here, we introduce a discrete element framework to resolve fragmentation…

Geophysics · Physics 2026-02-04 Alvaro Vergara , Sergio Palma , Raul Fuentes

We present an all-order generalized factorization formula for QCD scattering amplitudes in kinematical configurations where two or more momenta of the external partons become collinear. The singular behaviour of the scattering amplitudes in…

High Energy Physics - Phenomenology · Physics 2012-12-03 Stefano Catani , Daniel de Florian , German Rodrigo

Impact fragmentation is the underlying principle of comminution milling of dry, bulk solids. Unfortunately the outcome of the fragmentation process is more or less determined by the dimensionality of the impactor and its impact velocity.…

Materials Science · Physics 2015-09-10 Falk K. Wittel

Measurements indicate that the centrality dependence of the direct photon multiplicity scales approximately with the number of binary nucleon collisions. Importantly, these same measurements suggest that this scaling does not depend on the…

Nuclear Theory · Physics 2019-01-23 Charles Gale , Sangyong Jeon , Scott McDonald , Jean-François Paquet , Chun Shen

We calculate the single-particle momentum distribution of a quantum many-particle system in the presence of the Coulomb interaction and a confining potential. The region of intermediate momenta, where the confining potential dominates,…

Other Condensed Matter · Physics 2020-07-21 J. A. E. Bonart , W. H. Appelt , D. Vollhardt , L. Chioncel

The measured pseudorapidity distributions of primary charged particles over a wide pseudorapidity range of |eta| < 5.4 and integrated charged particle multiplicities in d+Au collisions at sqrt(s_NN) = 200 GeV are presented as a function of…

Nuclear Experiment · Physics 2008-11-26 the PHOBOS Collaboration , B. B. Back

The phenomenon of scaling in deep inelastic lepton-nucleon scattering is usually explained in terms of the Feynman parton model, and the logarithmic corrections to scaling are explained in the framework of perturbative QCD. For testing the…

High Energy Physics - Phenomenology · Physics 2016-09-01 Felix. M. Lev

We compute the partition function for the $N=1$ spinning particle, including pictures and the large Hilbert space, and show that it counts the dimension of the BRST cohomology in two- and four-dimensional target space. We also construct a…

High Energy Physics - Theory · Physics 2025-04-07 Eugenia Boffo , Pietro Antonio Grassi , Ondřej Hulík , Ivo Sachs

A method is presented that allows exact calculations of fragment multiplicity distributions for a canonical ensemble of non-interacting clusters. Fragmentation properties are shown to depend on only a few parameters. Fragments are shown to…

Nuclear Theory · Physics 2009-10-31 Scott Pratt , Subal Das Gupta

We summarize the key results of a recent global analysis of inclusive single-charged-hadron production in high-energy colliding-beam experiments. In the framework of the parton model of quantum chromodynamics at next-to-leading order (NLO),…

High Energy Physics - Phenomenology · Physics 2010-03-25 Bernd A. Kniehl

Collisionless suspensions of inertial particles (finite-size impurities) are studied in 2D and 3D spatially smooth flows. Tools borrowed from the study of random dynamical systems are used to identify and to characterise in full generality…

Chaotic Dynamics · Physics 2007-05-23 Jeremie Bec

The method of scaling transformations permitting to carry out the reconstruction of cross sections of $\gamma N$ and $\gamma\gamma$ interactions on the basis of cross sections of nucleon-(anti)nucleon interactions is suggested. The…

High Energy Physics - Phenomenology · Physics 2009-02-16 Yury Novoseltsev , Rita Novoseltseva , Grigory Vereshkov

The scattering of free particles constrained to move on a cylindrically symmetric curved surface is studied. The nontrivial geometry of the space contributes to the scattering cross section through the kinetic as well as a possible scalar…

High Energy Physics - Theory · Physics 2009-10-30 Ali Mostafazadeh

The fragmentation equation is commonly expressed in terms of two functions, the rate of fragmentation and the mean number of fragments. In the case of binary fragmentation an alternative description is possible based on the fragmentation…

Mathematical Physics · Physics 2022-03-08 Themis Matsoukas