Abstract
Bose–Einstein correlations of pairs of identical charged pions produced in hadronic Z decays are analyzed in terms of various parametrizations. A good description is achieved using a Lévy stable distribution in conjunction with a model where a particle’s momentum is correlated with its space–time point of production, the τ-model. Using this description and the measured rapidity and transverse momentum distributions, the space–time evolution of particle emission in two-jet events is reconstructed. However, the elongation of the particle emission region previously observed is not accommodated in the τ-model, and this is investigated using an ad hoc modification.
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M. Gyulassy, S.K. Kauffmann, L.W. Wilson, Phys. Rev. C 20, 2267–2292 (1979)
D.H. Boal, C.-K. Gelbke, B.K. Jennings, Rev. Mod. Phys. 62, 553–602 (1990)
G. Baym, Acta Phys. Pol. B 29, 1839–1884 (1998)
W. Kittel, Acta Phys. Pol. B 32, 3927–3972 (2001)
T. Csörgő, Heavy Ion Phys. 15, 1–80 (2002)
G. Goldhaber, W.B. Fowler, S. Goldhaber, T.F. Hoang, T.E. Kalogeropoulos, W.M. Powell, Phys. Rev. Lett. 3, 181–183 (1959)
G. Goldhaber, S. Goldhaber, W. Lee, A. Pais, Phys. Rev. 120, 300–312 (1960)
V. Khachatryan et al. (CMS Collab.), Phys. Rev. Lett. 105, 032001 (2010)
K. Aamodt et al. (ALICE Collab.), Phys. Rev. D 82, 052001 (2010)
V. Khachatryan et al. (CMS Collab.), arXiv:1101.3518 [hep-ex] (2011)
K. Aamodt et al. (ALICE Collab.), Phys. Lett. B 696, 328–337 (2011)
K. Aamodt et al. (ALICE Collab.), arXiv:1101.3665 [hep-ex] (2011)
M. Althoff et al. (TASSO Collab.), Z. Phys. C 30, 355–369 (1986)
N.M. Agababyan et al. (NA22 Collab.), Z. Phys. C 71, 405–414 (1996)
R.A. Solz, PhD thesis, Massachusetts Inst. of Technology (1994)
L. Ahle et al. (E-802 Collab.), Phys. Rev. C 66, 054906-1-15 (2002)
T. Csörgő, B. Lörstadt, Phys. Rev. C 54, 1390–1403 (1996)
U. Wiedemann, P. Scotto, U. Heinz, Phys. Rev. C 53, 918–931 (1988)
Z. Chajȩcki, Nucl. Phys. A 774, 599–602 (2006)
B. Lörstad, O.G. Smirnova, in Proc. 7th Int. Workshop on Multiparticle Production “Correlations and Fluctuations”, ed. by R.C. Hwa et al. (World Scientific, Singapore, 1997), p. 42
J.A. van Dalen, in Proc. 8th Int. Workshop on Multiparticle Production “Correlations and Fluctuations’98: From QCD to Particle Interferometry”, ed. by T. Csörgő et al. (World Scientific, Singapore, 1999), p. 37
G. Abbiendi et al. (OPAL Collab.), Eur. Phys. J. C 52, 787–803 (2007)
T. Csörgő, J. Zimányi, Nucl. Phys. A 517, 588–598 (1990)
T. Csörgő, W. Kittel, W.J. Metzger, T. Novák, Phys. Lett. B 663, 214–216 (2008)
M. Acciarri et al. (L3 Collab.), Phys. Lett. B 458, 517–528 (1999)
G. Abbiendi et al. (OPAL Collab.), Eur. Phys. J. C 16, 423–433 (2000)
P. Abreu et al. (DELPHI Collab.), Phys. Lett. B 471, 460–470 (2000)
A. Heister et al. (ALEPH Collab.), Eur. Phys. J. C 36, 147–159 (2004)
S. Chekanov et al. (ZEUS Collab.), Phys. Lett. B 583, 231–246 (2004)
B. Adeva et al. (L3 Collab.), Nucl. Instrum. Methods A 289, 35–102 (1990)
J.A. Bakken et al., Nucl. Instrum. Methods A 275, 81–88 (1989)
O. Adriani et al., Nucl. Instrum. Methods A 302, 53–62 (1991)
K. Deiters et al., Nucl. Instrum. Methods A 323, 162–168 (1992)
M. Acciarri et al., Nucl. Instrum. Methods A 351, 300–312 (1994)
S. Brandt, Ch. Peyrou, R. Sosnowski, A. Wroblewski, Phys. Lett. 12, 57–61 (1964)
G. Alexander et al. (OPAL Collab.), Z. Phys. C 72, 389–398 (1996)
Yu.L. Dokshitzer, J. Phys. G 17, 1537 (1991). Contribution cited in Report of the Hard QCD Working Group, Proc. Workshop on Jet Studies at LEP and HERA, Durham, December 1990
S. Catani et al., Phys. Lett. B 269, 432–438 (1991)
S. Bethke et al., Nucl. Phys. B 370, 310–334 (1992)
T. Sjöstrand, Comput. Phys. Commun. 82, 74–89 (1994)
L. Lönnblad, T. Sjöstrand, Phys. Lett. B 351, 293 (1995)
D.P. Barber et al. (MARK-J Collab.), Phys. Rev. Lett. 43, 830–833 (1979)
M.G. Bowler, Z. Phys. C 39, 81–88 (1988)
T. Osada, S. Sano, M. Biyajima, Z. Phys. C 72, 285–290 (1996)
M.G. Bowler, Phys. Lett. B 270, 69–74 (1991)
M.G. Bowler, in Proc. Int. Workshop on Correlations and Multiparticle Production, ed. by M. Plümer, S. Raha, R.M. Weiner (World Scientific, Singapore, 1991), p. 261
J. Bolz et al., Phys. Rev. D 47, 3860–3870 (1993)
T. Csörgő, B. Lörstad, J. Zimányi, Z. Phys. C 71, 491–497 (1996)
T. Novák, PhD thesis, Radboud Univ. Nijmegen, 2008, http://webdoc.ubn.ru.nl/mono/n/novak_t/bosecoine.pdf
D. Decamp et al. (ALEPH Collab.), Z. Phys. C 54, 75–85 (1992)
T. Csörgő, S. Hegyi, in Proc. XXVIIIth Rencontres de Moriond, ed. by É. Augé, J. Trân Thanh Vân (Editions Frontières, Gif-sur-Yvette, 1993), p. 635
T. Csörgő, in Proc. Cracow Workshop on Multiparticle Production, ed. by A. Białas et al. (World Scientific, Singapore, 1994), p. 175
F.Y. Edgeworth, Trans. Camb. Philos. Soc. 20, 36 (1905), see also, e.g., H. Cramér, Mathematical Methods of Statistics (Princeton Univ. Press, 1946)
J.P. Nolan, Stable Distributions—Models for Heavy Tailed Data (Birkhäuser, Boston, 2010, in progress). Chapter 1 online at academic2.american.edu/~jpnolan
T. Csörgő, S. Hegyi, W.A. Zajc, Eur. Phys. J. C 36, 67–78 (2004)
A. Białas, K. Zalewski, Acta Phys. Pol. B 30, 359–367 (1999)
A. Białas et al., Phys. Rev. D 62, 114007 (2000)
K. Gottfried, Acta Phys. Pol. B 3, 769 (1972)
J.D. Bjorken, in Proc. Summer Inst. on Particle Physics, vol. 1 (1973), pp. 1–34/ (SLAC-R-167)
J.D. Bjorken, Phys. Rev. D 7, 282–283 (1973)
K. Gottfried, Phys. Rev. Lett. 32, 957–961 (1974)
F.E. Low, K. Gottfried, Phys. Rev. D 17, 2487–2491 (1978)
J.D. Bjorken, in Proc. XXIV Int. Symp. on Multiparticle Dynamics, ed. by A. Giovannini et al. (World Scientific, Singapore, 1995), p. 579
M. Acciarri et al. (L3 Collab.), Phys. Lett. B 428, 186–196 (1998)
P. Achard et al. (L3 Collab.), Phys. Lett. B 577, 109–119 (2003)
M. Acciarri et al. (L3 Collab.), Phys. Lett. B 429, 375–386 (1998)
P. Dahlqvist, B. Andersson, G. Gustafson, Nucl. Phys. B 328, 76 (1989)
G. Gustafson, A. Nilsson, Nucl. Phys. B 355, 106 (1991)
G. Gustafson, A. Nilsson, Z. Phys. C 52, 533 (1991)
R. Metzler, J. Klafter, Phys. Rep. 339, 1–77 (2000)
G. Marchesini et al., Comput. Phys. Commun. 67, 465–508 (1992)
T. Sjöstrand et al., Comput. Phys. Commun. 135, 238–259 (2001)
G. Corcella et al., J. High Energy Phys. 01, 10 (2001)
L. Lönnblad, T. Sjöstrand, Eur. Phys. J. C 2, 165 (1998)
J.P. Nolan, STABLE.EXE. http://academic2.american.edu/~jpnolan/
N.M. Agababyan et al. (NA22 Collab.), Phys. Lett. B 422, 359–368 (1998)
A. Ster, T. Csörgő, B. Lörstad, Nucl. Phys. A 661, 419–422 (1999)
T. Novák, T. Csörgő, http://www.kfki.hu/~csorgo/L3/plots/movie.gif and http://www.kfki.hu/~csorgo/L3/plots/Sxyt.gif
B. Andersson, M. Ringnér, Phys. Lett. B 421, 283–288 (1998)
T. Csörgő et al., Acta Phys. Pol. B 36, 329–337 (2005)
T. Csörgő et al., arXiv:nucl-th/0512060 (2005)
Ya.I. Azimov et al., Z. Phys. C 27, 65–72 (1985)
Ya.I. Azimov et al., Z. Phys. C 31, 213–218 (1986)
L. Van Hove, A. Giovannini, Acta Phys. Pol. B 19, 931–946 (1988)
C. Amsler et al. (Particle Data Group), Phys. Lett. B 667, 1–1340 (2008)
I. Hinchcliffe, http://www-theory.lbl.gov/~ianh/alpha/alpha.html
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The L3 Collaboration., Achard, P., Adriani, O. et al. Test of the τ-model of Bose–Einstein correlations and reconstruction of the source function in hadronic Z-boson decay at LEP. Eur. Phys. J. C 71, 1648 (2011). https://doi.org/10.1140/epjc/s10052-011-1648-8
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DOI: https://doi.org/10.1140/epjc/s10052-011-1648-8