Universality in hadronic and nuclear collisions at high energy

Castorina, P.; Iorio, Alberto Orso Maria; Lanteri, D.; Satz, Helmut; Spousta, M.

doi:10.1103/physrevc.101.054902

Cited by 30 publications

(31 citation statements)

References 54 publications

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“…1, we also show f S (x) and df S (x)/dx by blue curves. As already noticed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and is discussed later, the asymmetry is clearly found in dN (t)/dt…”

Section: Gompertz Function Indicator K and Scaling Variablessupporting

confidence: 53%

“…The indicator K takes a value between zero and unity, is not affected by the weekly schedule of the test, and is found to decrease almost linearly as a function of time in the region 0.25 < K < 0.9 provided that there is only a single outbreak affecting the infection. In order to understand the linearly decreasing behavior of K, Nakano and Ikeda proposed the "constant damping hypothesis" in their paper [26], and Akiyama proved that the hypothesis of exponential decrease in discrete time shows the Gompertz curve in continuous time [27], independently of other works [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Since the indicator K is expected to be useful to predict the date when the restrictions can be relaxed as K(t) 0.05, it would be valuable to analyze its solution, the Gompertz function, in more detail.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, a double exponential function called the Gompertz function is found to catch the features of N (t) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. The Gompertz function appears when the infection probability per infected people exponentially decreases as a function of time.…”

Section: Introductionmentioning

confidence: 99%

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Universality in COVID-19 spread in view of the Gompertz function

Ohnishi

Namekawa

Fukui

2020

Preprint

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We demonstrate that universal scaling behavior is observed in the current coronavirus (COVID-19) spread in various countries. We analyze the numbers of infected people in selected eleven countries (Japan, USA, Russia, Brazil, China, Italy, Indonesia, Spain,South Korea, UK, and Sweden). By using the double exponential function called the Gompertz function, fG(x)=exp(−e−x), the number of infected people is well described as N(t)=N0 fG(γ(t−t0)), where N0, γ and t0 are the final total number of infected people, the damping rate of the infection probability and the peak time of dN(t)/dt, respectively. The scaled data of infected people in most of the analyzed countries are found to collapse onto a common scaling function fG(x) with x=γ(t−t0) in the range of fG(x) ± 0.05. The recently proposed indicator so-called the K value, the increasing rate of infected people in one week, is also found to show universal behavior. The mechanism for the Gompertz function to appear is discussed from the time dependence of the produced pion numbers in nucleus-nucleus collisions, which is also found to be described by the Gompertz function.

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Section: Gompertz Function Indicator K and Scaling Variablessupporting

confidence: 53%

Section: Introductionmentioning

confidence: 99%

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Universality in COVID-19 spread in view of the Gompertz function

Ohnishi

Namekawa

Fukui

2020

Preprint

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“…This universality is also manifest when considering other effects like e.g. eccentricity and flows [77]. [61,62].…”

Section: P(ε)mentioning

confidence: 87%

Fractal Structures of Yang–Mills Fields and Non-Extensive Statistics: Applications to High Energy Physics

Deppman

Megías

Menezes

2020

Physics

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In this work, we provide an overview of the recent investigations on the non-extensive Tsallis statistics and its applications to high energy physics and astrophysics, including physics at the Large Hadron Collider (LHC), hadron physics, and neutron stars. We review some recent investigations on the power-law distributions arising in high energy physics experiments focusing on a thermodynamic description of the system formed, which could explain the power-law behavior. The possible connections with a fractal structure of hadrons is also discussed. The main objective of the present work is to delineate the state-of-the-art of those studies and show some open issues that deserve more careful investigation. We propose several possibilities to test the theory through analyses of experimental data.

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“…As mentioned in the first section and discussed above, some distributions applied in a large collision system can be also applied in a small collision system due to the universality, similarity, or common characteristics existing in highenergy collisions [27][28][29][30][31][32][33][34][35][36]. Based on the same reason, some statistical or hydrodynamic models applied in the large system should be also applied in the small system.…”

Section: Advances In High Energy Physicsmentioning

confidence: 99%

Initial- and Final-State Temperatures of Emission Source from Differential Cross-Section in Squared Momentum Transfer in High-Energy Collisions

Wang

Liu

Olimov

2021

Advances in High Energy Physics

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The differential cross-section in squared momentum transfer of ρ , ρ 0 , ω , ϕ , f 0 980 , f 1 1285 , f 0 1370 , f 1 1420 , f 0 1500 , and J / ψ produced in high-energy virtual photon-proton ( γ ∗ p ), photon-proton ( γ p ), and proton-proton ( p p ) collisions measured by the H1, ZEUS, and WA102 Collaborations is analyzed by the Monte Carlo calculations. In the calculations, the Erlang distribution, Tsallis distribution, and Hagedorn function are separately used to describe the transverse momentum spectra of the emitted particles. Our results show that the initial- and final-state temperatures increase from lower squared photon virtuality to a higher one and decrease with the increase of center-of-mass energy.

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Universality in hadronic and nuclear collisions at high energy

Cited by 30 publications

References 54 publications

Universality in COVID-19 spread in view of the Gompertz function

Universality in COVID-19 spread in view of the Gompertz function

Fractal Structures of Yang–Mills Fields and Non-Extensive Statistics: Applications to High Energy Physics

Initial- and Final-State Temperatures of Emission Source from Differential Cross-Section in Squared Momentum Transfer in High-Energy Collisions

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