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Initial and Final State Temperatures of Antiproton Emission Sources in High Energy Collisions

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Abstract

The momentum or transverse momentum spectra of antiprotons produced at mid-rapidity in proton-helium (p+He), gold-gold (Au+Au), deuton-gold (d+Au), and lead-lead (Pb+Pb) collisions over an energy range from a few GeV to a few TeV are analyzed by the Erlang distribution, the inverse power-law (the Hagedorn function), and the blast-wave fit, or the superposition of two-component step function. The excitation functions of parameters such as the mean transverse momentum, initial state temperature, kinetic freeze-out temperature, and transverse flow velocity increase (slightly) from a few GeV to a few TeV and from peripheral to central collisions. At high energy and in central collisions, large collision energy is deposited in the system, which results in high degrees of excitation and expansion.

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References

  1. Puglisi, A., Sarracino, A., Vulpiani, A.: Temperature in and out of equilibrium: a review of concepts, tools and attempts. Phys. Rep. 709, 1–60 (2017)

    ADS  MathSciNet  MATH  Google Scholar 

  2. Bhattacharyya, T., Cleymans, J., Khuntia, A., et al.: Radial flow in non-extensive thermodynamics and study of particle spectra at LHC in the limit of small (q − 1). Eur. Phys. J. A52, 30 (2016)

    ADS  Google Scholar 

  3. Song, H.-C., Zhou, Y., Gajdošová, K.: Collective flow and hydrodynamics in large and small systems at the LHC. Nucl. Sci. Tech. 28, 99 (2017)

  4. Wei, H.-R., Liu, F.-H., Lacey, R.A.: Kinetic freeze-out temperature and flow velocity extracted from transverse momentum spectra of final-state light flavor particles produced in collisions at RHIC and LHC. Eur. Phys. J. A52, 102 (2016)

    ADS  Google Scholar 

  5. Gao, L.-N., Liu, F.-H., Li, B.-C.: Rapidity dependent transverse momentum spectra of heavy quarkonia produced in small collision systems at the LHC. Adv. High Energy Phys. 2019, 6739315 (2019)

    Google Scholar 

  6. Liu, F.-H.: Particle production in Au-Au collisions at RHIC energies. Phys. Lett. B583, 68–72 (2004)

    ADS  Google Scholar 

  7. Liu, F.-H., Li, J.-S.: Isotopic production cross section of fragments in 56Fe+p and 136Xe(124Xe)+Pb reactions over an energy range from 300A to 1500A MeV. Phys. Rev. C78, 044602 (2008)

    ADS  Google Scholar 

  8. Liu, F.-H.: Unified description of multiplicity distributions of final-state particles produced in collisions at high energies. Nucl. Phys. A810, 159–172 (2008)

    ADS  Google Scholar 

  9. Liu, F.-H., Gao, Y.-Q., Tian, T., Li, B.-C.: Unified description of transverse momentum spectrums contributed by soft and hard processes in high-energy nuclear collisions. Eur. Phys. J. A50, 94 (2014)

    ADS  Google Scholar 

  10. Hagedorn, R.: Multiplicities, p T distributions and the expected hadron→quark-gluon phase transition. Riv. Nuovo Cimento 6(10), 1–50 (1983)

    MathSciNet  Google Scholar 

  11. Abelev, B., et al.: (ALICE Collaboration): production of Σ(1385)± and Σ(1530)0 in proton-proton collisions at \(\sqrt {s}=7\) TeV. Eur. Phys. J. C75, 1 (2015)

    ADS  Google Scholar 

  12. Schnedermann, E., Sollfrank, J., Heinz, U.: Thermal phenomenology of hadrons from 200A GeV S+S collisions. Phys. Rev. C48, 2462–2475 (1993)

    ADS  Google Scholar 

  13. Abelev, B.I., et al.: (STAR Collaboration): systematic measurements of identified particle spectra in pp, d+Au, and Au+Au collisions at the STAR detector. Phys. Rev. C79, 034909 (2009)

    ADS  Google Scholar 

  14. Abelev, B.I., et al.: (STAR Collaboration) Identified particle production, azimuthal anisotropy, and interferometry measurements in Au+Au collisions at \(\sqrt {s_{NN}}=9.2\). GeV. Phys. Rev. C81, 024911 (2010)

    ADS  Google Scholar 

  15. Tang, Z.-B., Xu, Y.-C., Ruan, L.-J., van Buren, G., Wang, F.-Q., Xu, Z.-B.: Spectra and radial flow in relativistic heavy ion collisions with Tsallis statistics in a blast-wave description. Phys. Rev. C79(R), 051901 (2009)

    ADS  Google Scholar 

  16. Kittel, W., De Wolf, E.A.: Soft Multihadron Dynamics, p 652. World Scientific, Singapore (2005)

    Google Scholar 

  17. Sarkisyan, E.K.G., Sakharov, A.S.: On similarities of bulk observables in nuclear and particle collisions. CERN-PH-TH-2004-213 (2004), arXiv:hep-ph/0410324 (2004)

  18. Sarkisyan, E.K.G., Sakharov, A.S.: Multihadron production features in different reactions. AIP Conf. Proc. 828, 35–41 (2006)

    ADS  Google Scholar 

  19. Sarkisyan, E.K.G., Sakharov, A.S.: Relating multihadron production in hadronic and nuclear collisions. Eur. Phys. J. C70, 533–541 (2010)

    ADS  Google Scholar 

  20. Nouicer, R.: Similarity of initial states in A+A and p+p collisions in constituent quarks framework. AIP Conf. Proc. 828, 11–16 (2006)

    ADS  Google Scholar 

  21. Nouicer, R., for the PHOBOS Collaboration: Systematic of global observables in Cu+Cu and Au+Au collisions at RHIC energies. AIP Conf. Proc. 842, 86–88 (2006)

    ADS  Google Scholar 

  22. Nouicer, R.: Charged particles multiplicities in A+A and p+p collisions in the constituent quarks framework. Eur. Phys. J. C49, 281–286 (2007)

    ADS  Google Scholar 

  23. Grosse-Oetringhaus, J.F., Reygers, K.: Charged particle multiplicity in proton-proton collisions. J. Phys. G37, 083001 (2010)

    ADS  Google Scholar 

  24. Sarkisyan, E.K.G., Mishra, A.N., Sahoo, R., Sakharov, A.S.: Multihadron production dynamics exploring the energy balance in hadronic and nuclear collisions. Phys. Rev. D93, 054046 (2016)

    ADS  Google Scholar 

  25. Sarkisyan, E.K.G., Mishra, A.N., Sahoo, R., Sakharov, A.S.: Centrality dependence of midrapidity density from GeV to TeV heavy-ion collisions in the effective-energy universality picture of hadroproduction. Phys. Rev. D94(R), 011501 (2016)

    ADS  Google Scholar 

  26. Mishra, A.N., Ortiz, A., Paić, G.: Intriguing similarities of high-p T particle production between pp and A-A collisions. Phys. Rev. C99, 034911 (2019)

    ADS  Google Scholar 

  27. Aamodt, K., et al.: (ALICE Collaboration) Transverse momentum spectra of charged particles in proton-proton collisions at \(\sqrt {s}=900\) GeV with ALICE at the LHC. Phys. Lett. B693, 53–68 (2010)

    ADS  Google Scholar 

  28. De Falco, A., for the ALICE Collaboration: Vector meson production in pp collisions at \(\sqrt {s}=7\) TeV, measured with the ALICE detector. J. Phys. G38, 124083 (2011)

    ADS  Google Scholar 

  29. Abelev, B., et al.: (ALICE Collaboration): Light vector meson production in pp collisions at \(\sqrt {s}=7\) TeV. Phys. Lett. B710, 557–568 (2012)

    ADS  Google Scholar 

  30. Adare, A., et al.: (PHENIX Collaboration): Nuclear modification factors of ϕ mesons in d+Au, Cu+Cu, and Au+Au collisions at \(\sqrt {s_{NN}}=200\) GeV. Phys. Rev. C83(83), 024909 (2011)

    ADS  Google Scholar 

  31. Abelev, B., et al.: (ALICE Collaboration): Inclusive J/ψ production in pp collisions at \(\sqrt {s}=2.76\) TeV. Phys. Lett. B718, 295–306 (2012)

    ADS  Google Scholar 

  32. Lakomov, I., for the ALICE Collaboration: Event activity dependence of inclusive J/ψ production in p-Pb collisions at \(\sqrt {s_{NN}}=5.02\) TeV with ALICE at the LHC. Nucl. Phys. A931, 1179–1183 (2014)

    ADS  Google Scholar 

  33. Abelev, B., et al.: (ALICE Collaboration): Heavy flavour decay muon production at forward rapidity in proton-proton collisions at \(\sqrt {s}=7\) TeV. Phys. Lett. B708, 265–275 (2012)

    ADS  Google Scholar 

  34. Lao, H.-L., Liu, F.-H., Li, B.-C., Duan, M.-Y.: Kinetic freeze-out temperatures in central and peripheral collisions: which one is larger? Nucl. Sci. Tech. 29, 82 (2018)

    Google Scholar 

  35. Robert, C.P., Casella, G.: Monte Carlo Statistical Methods, 2nd edn. Springer, Germany and World Scientific, Sigapore (2009)

    Google Scholar 

  36. Gutay, L.G., Hirsch, A.S., Pajares, C., Scharenberg, R.P., Srivastava, B.K.: De-confinement in small systems: clustering of color sources in high multiplicity \(\bar p\)p collisions at \(\sqrt {s_{{{NN}}}}=1.8\) TeV. Int. J. Mod. Phys. E24, 1550101 (2015)

    ADS  Google Scholar 

  37. Hirsch, A.S., Pajares, C., Scharenberg, R.P., Srivastava, B.K.: De-confinement in high multiplicity proton-proton collisions at LHC energies. arXiv:1803.02301[hep-ph] (2018)

  38. Sahoo, P., De, S., Tiwari, S.K., Sahoo, R.: Energy and centrality dependent study of deconfinement phase transition in a color string percolation approach at RHIC energies. Eur. Phys. J. A54, 136 (2018)

    ADS  Google Scholar 

  39. Aaij, R., et al.: (LHCb Collaboration) Measurement of antiproton production in pHe collisions at \(\sqrt {s_{{{NN}}}}=110\) GeV. Phys. R.v. Lett. 121, 222001 (2018)

    ADS  Google Scholar 

  40. Graziani, G., for the LHCb Collaboration: Measurement of antiproton production in pHe collisions at \(\sqrt {s_{{{NN}}}}=110\) GeV. Conference report prepared for the 52nd Rencontres de Moriond on Electroweak Interactions and Unified Theories, 18–25 March 2017, La Thuile, Italy CERN-LHCb-CONF-2017-002 (2017)

  41. Adamczyk, L., et al.: (STAR Collaboration): Bulk properties of the medium produced in relativistic heavy-ion collisions from the beam energy scan program. Phys. Rev. C96, 044904 (2017)

    ADS  Google Scholar 

  42. Lao, H.-L., Liu, F.-H., Li, B.-C., Duan, M.-Y., Lacey, R.A.: Examining the model dependence of the determination of kinetic freeze-out temperature and transverse flow velocity in small collision system. Nucl. Sci. Tech. 29, 164 (2018)

    Google Scholar 

  43. Abelev, B., et al.: (ALICE Collaboration): Centrality dependence of π, K, and p production in Pb-Pb collisions at \(\sqrt {s_{{{NN}}}}=2.76\) TeV. Phys. Rev. C88, 044910 (2013)

    ADS  Google Scholar 

  44. Li, L.-L., Liu, F.-H.: Excitation functions of kinetic freeze-out temperature and transverse flow velocity in proton-proton collisions. arXiv:1805.03342[hep-ph] (2018)

  45. Li, L.-L., Liu, F.-H.: Energy dependent kinetic freeze-out temperature and transverse flow velocity in high energy collisions. Eur. Phys. J. A 54, 169 (2018)

    ADS  Google Scholar 

  46. Waqas, M., Liu, F.-H., Fakhraddin, S., Rahim, M.A.: Possible scenarios for single, double, or multiple kinetic freeze-out in high-energy collisions. Indian J. Phys. 93, https://doi.org/10.1007/s12648-019-01396-9 (2019)

    ADS  Google Scholar 

  47. Lao, H.-L., Wei, H.-R., Liu, F.-H., Lacey, R.A.: An evidence of mass-dependent differential kinetic freeze-out scenario observed in Pb-Pb collisions at 2.76 TeV. Eur. Phys. J. A 52, 203 (2016)

    ADS  Google Scholar 

  48. Tsallis, C.: Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52, 479–487 (1988)

    ADS  MathSciNet  MATH  Google Scholar 

  49. Cleymans, J., Worku, D.: Relativistic thermodynamics: transverse momentum distributions in high-energy physics. Eur. Phys. J. A 48, 160 (2012)

    ADS  Google Scholar 

  50. Zheng, H., Zhu, L.L.: Comparing the Tsallis distribution with and without thermodynamical description in p+p collisions. Adv. High Energy Phys. 2016, 9632126 (2016)

    Google Scholar 

  51. Gao, L.-N., Liu, F.-H., Lacey, R.A.: Excitation functions of parameters in Erlang distribution, Schwinger mechanism, and Tsallis statistics in RHIC BES program. Eur. Phys. J. A 52, 137 (2016)

    ADS  Google Scholar 

  52. Lao, H.-L., Liu, F.-H., Lacey, R.A.: Extracting kinetic freeze-out temperature and radial flow velocity from an improved Tsallis distribution. Eur. Phys. J. A 53, 44 (2017)

    ADS  Google Scholar 

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant Nos. 11575103 and 11847311, the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (STIP) under Grant No. 201802017, the Shanxi Provincial Natural Science Foundation under Grant No. 201701D121005, the Fund for Shanxi “1331 Project” Key Subjects Construction.

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  1. Institute of Theoretical Physics and State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan, Shanxi, 030006, China

    Qi Wang & Fu-Hu Liu

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  1. Qi Wang
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Wang, Q., Liu, FH. Initial and Final State Temperatures of Antiproton Emission Sources in High Energy Collisions. Int J Theor Phys 58, 4119–4138 (2019). https://doi.org/10.1007/s10773-019-04278-2

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