Bose-Einstein condensation of pions in proton–proton collisions at the Large Hadron Collider using non-extensive Tsallis statistics

Deb, Suman; Sahu, Dushmanta; Sahoo, R.; Pradhan, Anil K.

doi:10.1140/epja/s10050-021-00464-1

Cited by 9 publications

(5 citation statements)

References 43 publications

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“…This has motivated us to use a thermodynamically consistent form of the Tsallis distribution function for the present work. Such a distribution function has been used extensively to study the thermodynamical properties of the systems formed in HIC [23][24][25]. The Tsallis distribution function introduces a fitting parameter called the non-extensive parameter (q), which gives the degree of deviation from equilibrium.…”

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confidence: 99%

Hadron gas in the presence of a magnetic field using non-extensive statistics: a transition from diamagnetic to paramagnetic system

Pradhan

Sahu

Deb

et al. 2023

J. Phys. G: Nucl. Part. Phys.

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Non-central heavy-ion collisions at ultra-relativistic energies are unique in producing magnetic fields of the largest strength in the laboratory. Such fields being produced at the early stages of the collision could affect the properties of Quantum Chromodynamics (QCD) matter formed in the relativistic heavy-ion collisions. The transient magnetic field leaves its reminiscence, which in principle, can affect the thermodynamic and transport properties of the final state dynamics of the system. In this work, we study the thermodynamic properties of a hadron gas in the presence of an external static magnetic field using a thermodynamically consistent non-extensive Tsallis distribution function. Various thermodynamical observables such as energy density ($\epsilon$), entropy density ($s$), pressure ($P$) and speed of sound ($c_{\rm s}$) are studied. Investigation of magnetization ($M$) is also performed and this analysis reveals an interplay of diamagnetic and paramagnetic nature of the system in the presence of a magnetic field of varying strength. Further, to understand the system dynamics under equilibrium and non-equilibrium conditions, the effect of the non-extensive parameter ($q$) on the above observables is also studied.

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confidence: 99%

Hadron gas in the presence of a magnetic field using non-extensive statistics: a transition from diamagnetic to paramagnetic system

Pradhan

Sahu

Deb

et al. 2023

J. Phys. G: Nucl. Part. Phys.

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“…We analyzed the variance of the number of particles. The possibility of formation of a condesnate phase in the hadronic systems have been postulated in several works [24,[31][32][33]. Investigations on the High Energy Physics distributions show that, for hadronic systems, q ∼ 1.14, in good agreement with the theoretical prediction [8,9].…”

Section: Discussionmentioning

confidence: 53%

Bose-Einstein condensation and non-extensive statistics

Megias,

Timóteo,

Gammal

et al. 2021

Preprint

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We study the Bose-Einstein condensation in non-extensive statistics for a free gas of bosons, and extend the results to the non-relativistic case as well. We present results for the dependence of the critical temperature and the condensate fraction on the entropic index, q, and show that the condensate can exist only for a limited range of q in both relativistic and non-relativistic systems. We provide numerical results for other thermodynamics quantities like the internal energy, specific heat and number fluctuations. We discuss the implications for high energy physics and hadron physics. The results for the non-relativistic case can be of interest in coldatom systems.

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“…Therefore, we suggest to call it the transverse momentum redistribution effect. We would like to note that, in the case of pions and kaons, this redistribution enhances the low momentum modes and can potentially lead to overpopulation of the zero momentum one, i.e., to the formation of the corresponding Bose-Einstein condensates (BEC), which recently were discussed in the context of LHC energies-for a recent example, see [44]. If this is the case, then the p+C+p and Pb+Pb+Pb TNC can be the best candidates to observe the BEC of pions or/and kaons.…”

Section: Possible Signatures Of Tncmentioning

confidence: 99%

Colliding and Fixed Target Mode in a Single Experiment—A Novel Approach to Study the Matter under New Extreme Conditions

et al. 2022

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Here, we propose a novel approach to experimentally and theoretically study the properties of QCD matter under new extreme conditions, namely having an initial temperature over 300 MeV and baryonic charge density over three times the values of the normal nuclear density. According to contemporary theoretical knowledge, such conditions were not accessible during the early Universe evolution and are not accessible now in the known astrophysical phenomena. To achieve these new extreme conditions, we proposed performing high-luminosity experiments at LHC or other colliders by means of scattering the two colliding beams at the nuclei of a solid target that is fixed at their interaction region. Under plausible assumptions, we estimate the reaction rate for the p+C+p and Pb+Pb+Pb reactions and discuss the energy deposition into the target and possible types of fixed targets for such reactions. To simulate the triple nuclear collisions, we employed the well-known UrQMD 3.4 model for the beam center-of-mass collision energies sNN = 2.76 TeV. As a result of our modeling, we found that, in the most central and simultaneous triple nuclear collisions, the initial baryonic charge density is approximately three times higher than the one achieved in the ordinary binary nuclear collisions at this energy.

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Bose-Einstein condensation of pions in proton–proton collisions at the Large Hadron Collider using non-extensive Tsallis statistics

Cited by 9 publications

References 43 publications

Hadron gas in the presence of a magnetic field using non-extensive statistics: a transition from diamagnetic to paramagnetic system

Hadron gas in the presence of a magnetic field using non-extensive statistics: a transition from diamagnetic to paramagnetic system

Bose-Einstein condensation and non-extensive statistics

Colliding and Fixed Target Mode in a Single Experiment—A Novel Approach to Study the Matter under New Extreme Conditions

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