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The connection between the problem of scattering a particle on a one-dimensional $\delta$-potential with the "Einstein's boxes" thought experiment is shown. In both cases, the validity of the superposition principle is limited by Einstein's…

General Physics · Physics 2021-10-25 N. L. Chuprikov

We propose a new method to analyze fluctuations in the strength function phenomena in highly excited nuclei. Extending the method of multifractal analysis to the cases where the strength fluctuations do not obey power scaling laws, we…

Nuclear Theory · Physics 2009-10-31 Hirokazu Aiba , Masayuki Matsuo

We investigate fragmentation processes with a steady input of fragments. We find that the size distribution approaches a stationary form which exhibits a power law divergence in the small size limit, P(x) ~ x^{-3}. This algebraic behavior…

Statistical Mechanics · Physics 2009-10-31 E. Ben-Naim , P. L. Krapivsky

We review recent developments in the theoretical description of inclusive single-hadron production at next-to-leading order in the parton model of quantum chromodynamics. Fragmentation functions are extracted from fits to data of inclusive…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bernd A. Kniehl

We investigate the degree to which the scaling functions $F(\psi')$ derived from cross sections for inclusive electron-nucleus quasi-elastic scattering define the same function for different nuclei. In the region where the scaling variable…

Nuclear Theory · Physics 2009-10-31 TW Donnelly , Ingo Sick

Inclusive electron scattering from nuclei at low momentum transfer (corresponding to x>1) and moderate Q^2 is dominated by quasifree scattering from nucleons. In the impulse approximation, the cross section can be directly connected to the…

Nuclear Experiment · Physics 2017-08-23 J. Arrington

Two models of binary fragmentation are introduced in which a time dependent transition size produces two regions of fragment sizes above and below the transition size. In the models we consider a fixed rate of fragmentation for the largest…

Statistical Mechanics · Physics 2009-10-31 Z. Tavassoli , A. Esmaeilnia Shirvani

We propose a new splitting behavior of tree-level string/particle amplitudes for scalars, gluons and gravitons. We identify certain subspaces in the space of Mandelstam variables, where the universal Koba-Nielsen factor splits into two…

High Energy Physics - Theory · Physics 2024-08-23 Qu Cao , Jin Dong , Song He , Canxin Shi

Fragment production in central collisions of Xe+Sn has been systematically studied with the INDRA multidetector from 25 to 150 AMeV. The predominant role of collision dynamics is evidenced in multiple intermediate mass fragment production…

Nuclear Experiment · Physics 2019-08-15 J. D. Frankland , A. Chbihi , S. Hudan , A. Mignon , A. Ono

We extend the antenna subtraction method to include hadron fragmentation processes up to next-to-next-to-leading order (NNLO) in QCD in $e^+e^-$ collisions. To handle collinear singularities associated with the fragmentation process, we…

High Energy Physics - Phenomenology · Physics 2022-11-09 Thomas Gehrmann , Giovanni Stagnitto

Multiplicity fluctuation of the target evaporated fragments emitted in 290 A MeV 12C-AgBr, 400 A MeV 12C-AgBr, 400 A MeV 20Ne-AgBr and 500 A MeV 56Fe-AgBr interactions is investigated using scaled factorial moment method in two-dimensional…

Nuclear Experiment · Physics 2015-06-16 D. H. Zhang , Y. L. Chen , G. R. Wang , W. D. Li , Q. Wang , J. J. Yao , J. G. Zhou , S. H. Zhen , L. L. Xu , H. F. Miao , P. Wang

The computation of the dominant eigenpair for symmetric positive semidefinite matrices is fundamental in numerical optimization. This work shifts the paradigm from the classical Rayleigh quotient to an unconstrained difference formulation,…

Optimization and Control · Mathematics 2026-05-26 Xiaozhi Liu , Mengmeng Song , Yong Xia

We consider the most general form of soft and collinear factorization for hard-scattering amplitudes to all orders in perturbative Quantum Chromodynamics. Specifically, we present the generalization of collinear factorization to…

High Energy Physics - Phenomenology · Physics 2026-03-10 Leandro Cieri , Prasanna K. Dhani , Germán Rodrigo

We investigate through extensive molecular dynamics simulations the fragmentation process of two-dimensional Lennard-Jones systems. After thermalization, the fragmentation is initiated by a sudden increment to the radial component of the…

Statistical Mechanics · Physics 2009-11-10 L. E. Araripe , J. S. Andrade , R. N. Costa Filho

We consider a system of stochastic interacting particles with general diffusion coefficient and drift functions and we study the types of collisions that arise in them. In particular, interactions between particles are inversely…

Probability · Mathematics 2025-09-30 Sergio Andraus , Nicole Hufnagel , Jacek Małecki

Using the `quantum optical approach' we propose a model of multiplicity distributions in high energy collisions based on squeezed coherent states. We show that the k-mode squeezed coherent state is the most general one in describing…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bindu A. Bambah

Based on the novel view that a micro-entity could be considered as a particle associated with a field partaking of the energy of particle which are both described by deterministic causal equations of motion, we examine the success of our…

Quantum Physics · Physics 2008-10-07 Afshin Shafiee , Abouzar Massoudi , Mohammad Bahrami

The self-similarity in space and time (hereafter self-similarity), either deterministic or statistical, is characterized by similarity exponents and a function of scaled variable, called the scaling function. In the present paper, we…

Analysis of PDEs · Mathematics 2020-01-15 Ken Sekimoto , Takahiko Fujita

The analytic properties of the Jost functions are fundamental in quantum scattering theory and in the analytic continuation of the scattering matrix into the complex energy plane. In this work, the analyticity of the Jost functions is…

Quantum Physics · Physics 2026-05-29 Yannick Mvondo-She

We present results from an individual particle based model for the collision, coagulation and fragmentation of heavy drops moving in a turbulent flow. Such a model framework can help to bridge the gap between the full hydrodynamic…

Fluid Dynamics · Physics 2020-01-29 Jens C. Zahnow , Ulrike Feudel