Abstract.
We expand the Tsallis distribution in a Taylor series of powers of (q - 1), where q is the Tsallis parameter, assuming q is very close to 1. This helps in studying the degree of deviation of transverse momentum spectra and other thermodynamic quantities from a thermalized Boltzmann distribution. After checking thermodynamic consistency, we provide analytical results for the Tsallis distribution in the presence of collective flow up to the first order of (q - 1). The formulae are compared with the experimental data.
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References
C. Tsallis, J. Stat. Phys. 52, 479 (1988)
STAR Collaboration (B.I. Abelev et al.), Phys. Rev. C 75, 064901 (2007)
PHENIX Collaboration (A. Adare et al.), Phys. Rev. D 83, 052004 (2011)
PHENIX Collaboration (A. Adare et al.), Phys. Rev. C 83, 064903 (2011)
ALICE Collaboration (K. Aamodt et al.), Phys. Lett. B 693, 53 (2010)
ALICE Collaboration (K. Aamodt et al.), Eur. Phys. J C 71, 1655 (2011)
CMS Collaboration (V. Khachatryan et al.), JHEP 02, 041 (2010)
CMS Collaboration (V. Khachatryan et al.), Phys. Rev. Lett. 105, 022002 (2010)
ATLAS Collaboration (G. Aad et al.), New J. Phys. 13, 053033 (2011)
ALICE Collaboration (B. Abelev et al.), Phys. Rev. Lett. 109, 252301 (2012)
I. Bediaga, E.M.F. Curado, J.M. de Miranda, Physica A 286, 156 (2000)
G. Wilk, Z. Włodarczyk, Acta Phys. Pol. B 46, 1103 (2015)
K. Ürmössy, G.G. Barnaföldi, T.S. Biró, Phys. Lett. B 701, 111 (2011)
K. Ürmössy, G.G. Barnaföldi, T.S. Biró, Phys. Lett. B 718, 125 (2012)
P.K. Khandai, P. Sett, P. Shukla, V. Singh, Int. J. Mod. Phys. A 28, 1350066 (2013)
B.-C. Li, Y.-Z. Wang, F.-H. Liu, Phys. Lett. B 725, 352 (2013)
L. Marques, J. Cleymans, A. Deppman, Phys. Rev. D 91, 054025 (2015)
J. Cleymans, D. Worku, J. Phys. G 39, 025006 (2012)
J. Cleymans, D. Worku, Eur. Phys. J. A 48, 160 (2012)
J. Cleymans, G.I. Lykasov, A.S. Parvan, A.S. Sorin, D. Worku, Phys. Lett. B 723, 351 (2013)
M.D. Azmi, J. Cleymans, J. Phys. G 41, 065001 (2014)
Z. Tang, Y. Xu, L. Ruan, G. van Buren, F. Wang, Z. Xu, Phys. Rev. C 79, 051901(R) (2009)
Ze-Bo Tang, Li Yi, Ji-Juan Ruan, Ming Shao, Cheng Li, Chin. Phys. Lett. 30, 031201 (2013)
T.S. Biró, G. Pürcsell, K. Ürmössy, Eur. Phys. J. A 40, 325 (2009)
K. Ürmössy, T.S. Biró, J. Phys. G 36, 064044 (2009)
M. Rybczyński, Z. Włodarczyk, Eur. Phys. J. C 74, 2785 (2014)
C. Beck, Physica A 286, 164 (2000)
T. Osada, G. Wilk, Phys. Rev. C 77, 044903 (2009)
W.M. Alberico, A. Lavagno, P. Quarati, Nucl. Phys. A 680, 94c (2001)
J. Cleymans, EPJ Web of Conferences 70, 00009 (2014)
S. Asgarani, B. Mirza, Physica A 37, 513 (2007)
P.K. Khandai, P. Sett, P. Shukla, V. Singh, J. Phys. G: Nucl. Part. Phys. 41, 025105 (2014)
B. De, Eur. Phys. J. A 50, 138 (2014)
K. Ürmössy, T.S. Biró, Phys. Lett. B 689, 14 (2010)
D. Thakur, S. Tripathy, P. Garg, R. Sahoo, J. Cleymans, arXiv:1601.05223
G. Wilk, Z. Włodarczyk, Phys. Rev. C 79, 054903 (2009)
G. Wilk, Z. Włodarczyk, Eur. Phys. J. A 40, 299 (2009)
M. Shao, L. Yi, Z. Tang, H. Chen, C. Li, Z. Xu, J. Phys. G 37, 085104 (2010)
B. De, S. Bhattacharyya, G. Sau, S.K. Biswas, Int. J. Mod. Phys. E 16, 1687 (2007)
R. Witt, arXiv:nucl-ex/0403021
H. Hamagaki, in Perspectives of Heavy-Ion Physics, edited by K. Yoshide, S. Kubono, I. Tanihata, C. Signorini (World Scientific Publishing Co. Pte. Ltd., Singapore, 2002) p. 596224
M. Biyajima, T. Mizoguchi, N. Nakajima, N. Suzuki, G. Wilk, Eur. Phys. J. C 48, 597 (2006)
T.S. Biró, G. Barnaföldi, P. Ván, Physica A 417, 215 (2015)
T.S. Biró, P. Ván, G. Barnaföldi, K. Ürmössy, Entropy 16, 6497 (2014)
M. Abramowitz, I.A. Stegun, Handbook of Mathematical Functions (National Bureau of Standards, 1972)
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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. A 52, 30 (2016). https://doi.org/10.1140/epja/i2016-16030-5
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DOI: https://doi.org/10.1140/epja/i2016-16030-5