Analysis of Identified Particle Transverse Momentum Spectra Produced in <i>pp</i>, <i>p</i>–Pb and Pb–Pb Collisions at the LHC Using TP-like Function

In the framework of a multi-source thermal model at the partonic level, we have analyzed transverse momentum spectra of hadrons measured by the ALICE Collaboration in proton–proton (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><...

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Main Authors: Pei-Pin Yang, Mai-Ying Duan, Fu-Hu Liu, Raghunath Sahoo
Format: Article
Language:English
Published: MDPI AG 2022-07-01
Series:Symmetry
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Online Access:https://www.mdpi.com/2073-8994/14/8/1530
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author Pei-Pin Yang
Mai-Ying Duan
Fu-Hu Liu
Raghunath Sahoo
author_facet Pei-Pin Yang
Mai-Ying Duan
Fu-Hu Liu
Raghunath Sahoo
author_sort Pei-Pin Yang
collection DOAJ
description In the framework of a multi-source thermal model at the partonic level, we have analyzed transverse momentum spectra of hadrons measured by the ALICE Collaboration in proton–proton (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mi>p</mi></mrow></semantics></math></inline-formula> or <i>p</i>–<i>p</i>) collisions at the center-of-mass energy of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>7</mn></mrow></semantics></math></inline-formula> and 13 TeV, proton–lead (<i>p</i>–Pb) collisions at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo><mn>5.02</mn></mrow></semantics></math></inline-formula> TeV, and lead–lead (Pb–Pb) collisions at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo><mn>2.76</mn></mrow></semantics></math></inline-formula> TeV. For mesons (baryons), the contributions of two (three) constituent quarks are considered, in which each quark contributes to hadron transverse momentum to obey the revised phenomenological Tsallis transverse momentum distribution for Maxwell–Boltzmann particles (the TP-like function, in short) with isotropic random azimuthal angles. Three main parameters, namely, the revised index <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>a</mi><mn>0</mn></msub></semantics></math></inline-formula>, effective temperature <i>T</i>, and entropy-related index <i>n</i>, are obtained, showing the same tendency for both small and large systems with respect to the centrality (or multiplicity) of events, the rest mass of hadrons, and the constituent mass of quarks.
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spelling doaj.art-438786abbbe74d96aac03634528c41a32023-12-03T14:32:39ZengMDPI AGSymmetry2073-89942022-07-01148153010.3390/sym14081530Analysis of Identified Particle Transverse Momentum Spectra Produced in <i>pp</i>, <i>p</i>–Pb and Pb–Pb Collisions at the LHC Using TP-like FunctionPei-Pin Yang0Mai-Ying Duan1Fu-Hu Liu2Raghunath Sahoo3State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Institute of Theoretical Physics, College of Physics and Electronic Engineering, Shanxi University, Taiyuan 030006, ChinaState Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Institute of Theoretical Physics, College of Physics and Electronic Engineering, Shanxi University, Taiyuan 030006, ChinaState Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Institute of Theoretical Physics, College of Physics and Electronic Engineering, Shanxi University, Taiyuan 030006, ChinaDepartment of Physics, Indian Institute of Technology Indore, Indore 453552, IndiaIn the framework of a multi-source thermal model at the partonic level, we have analyzed transverse momentum spectra of hadrons measured by the ALICE Collaboration in proton–proton (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mi>p</mi></mrow></semantics></math></inline-formula> or <i>p</i>–<i>p</i>) collisions at the center-of-mass energy of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>7</mn></mrow></semantics></math></inline-formula> and 13 TeV, proton–lead (<i>p</i>–Pb) collisions at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo><mn>5.02</mn></mrow></semantics></math></inline-formula> TeV, and lead–lead (Pb–Pb) collisions at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo>=</mo><mn>2.76</mn></mrow></semantics></math></inline-formula> TeV. For mesons (baryons), the contributions of two (three) constituent quarks are considered, in which each quark contributes to hadron transverse momentum to obey the revised phenomenological Tsallis transverse momentum distribution for Maxwell–Boltzmann particles (the TP-like function, in short) with isotropic random azimuthal angles. Three main parameters, namely, the revised index <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>a</mi><mn>0</mn></msub></semantics></math></inline-formula>, effective temperature <i>T</i>, and entropy-related index <i>n</i>, are obtained, showing the same tendency for both small and large systems with respect to the centrality (or multiplicity) of events, the rest mass of hadrons, and the constituent mass of quarks.https://www.mdpi.com/2073-8994/14/8/1530transverse momentum spectraphenomenological Tsallis transverse momentum distributionconstituent quarksproton–proton collisionsheavy-ion collisions
spellingShingle Pei-Pin Yang
Mai-Ying Duan
Fu-Hu Liu
Raghunath Sahoo
Analysis of Identified Particle Transverse Momentum Spectra Produced in <i>pp</i>, <i>p</i>–Pb and Pb–Pb Collisions at the LHC Using TP-like Function
Symmetry
transverse momentum spectra
phenomenological Tsallis transverse momentum distribution
constituent quarks
proton–proton collisions
heavy-ion collisions
title Analysis of Identified Particle Transverse Momentum Spectra Produced in <i>pp</i>, <i>p</i>–Pb and Pb–Pb Collisions at the LHC Using TP-like Function
title_full Analysis of Identified Particle Transverse Momentum Spectra Produced in <i>pp</i>, <i>p</i>–Pb and Pb–Pb Collisions at the LHC Using TP-like Function
title_fullStr Analysis of Identified Particle Transverse Momentum Spectra Produced in <i>pp</i>, <i>p</i>–Pb and Pb–Pb Collisions at the LHC Using TP-like Function
title_full_unstemmed Analysis of Identified Particle Transverse Momentum Spectra Produced in <i>pp</i>, <i>p</i>–Pb and Pb–Pb Collisions at the LHC Using TP-like Function
title_short Analysis of Identified Particle Transverse Momentum Spectra Produced in <i>pp</i>, <i>p</i>–Pb and Pb–Pb Collisions at the LHC Using TP-like Function
title_sort analysis of identified particle transverse momentum spectra produced in i pp i i p i pb and pb pb collisions at the lhc using tp like function
topic transverse momentum spectra
phenomenological Tsallis transverse momentum distribution
constituent quarks
proton–proton collisions
heavy-ion collisions
url https://www.mdpi.com/2073-8994/14/8/1530
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AT fuhuliu analysisofidentifiedparticletransversemomentumspectraproducedinippiipipbandpbpbcollisionsatthelhcusingtplikefunction
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