Geodesic
Self-similarity of hadron production: $z$-Scaling
Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 530-543 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We briefly review $z$-scaling as a reflection of the self-similarity of hadron production in high-energy hadron and nuclear collisions and discuss the basic principles of constituent interactions (locality, self-similarity, and fractality). We present results of analyzing experimental data on the inclusive $p_T$ spectra of hadron and jet production at the RHIC, Tevatron, and LHC in the framework of $z$-scaling.
Keywords: scaling, self-similarity, high energy, hadron spectrum. 
@article{TMF_2015_184_3_a17,
     author = {M. V. Tokarev and I. Zborovsk\'y},
     title = {Self-similarity of hadron production: $z${-Scaling}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {530--543},
     year = {2015},
     volume = {184},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a17/}
}
TY  - JOUR
AU  - M. V. Tokarev
AU  - I. Zborovský
TI  - Self-similarity of hadron production: $z$-Scaling
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2015
SP  - 530
EP  - 543
VL  - 184
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a17/
LA  - ru
ID  - TMF_2015_184_3_a17
ER  - 
%0 Journal Article
%A M. V. Tokarev
%A I. Zborovský
%T Self-similarity of hadron production: $z$-Scaling
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2015
%P 530-543
%V 184
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a17/
%G ru
%F TMF_2015_184_3_a17
M. V. Tokarev; I. Zborovský. Self-similarity of hadron production: $z$-Scaling. Teoretičeskaâ i matematičeskaâ fizika, Tome 184 (2015) no. 3, pp. 530-543. http://geodesic.mathdoc.fr/item/TMF_2015_184_3_a17/

[1] R. P. Feynman, Phys. Rev. Lett., 23:24 (1969), 1415–1417 | DOI

[2] J. D. Bjorken, Phys. Rev., 179:5 (1969), 1547–1553 | DOI

[3] P. Bosted, R. G. Arnold, S. Rock, Z. Szalata, Phys. Rev. Lett., 49:19 (1972), 1380–1383 | DOI

[4] J. Benecke, T. T. Chou, C. N. Yang, E. Yen, Phys. Rev., 188:5 (1969), 2159–2169 | DOI

[5] A. M. Baldin, EChAYa, 8:3 (1977), 429–477

[6] V. S. Stavinskii, EChAYa, 10:5 (1979), 949–995

[7] G. A. Leksin, YaF, 65:11 (2002), 2042–2051 | DOI

[8] Z. Koba, H. B. Nielsen, P. Olesen, Nucl. Phys. B, 40 (1972), 317–334 ; А. М. Поляков, ЖЭТФ, 59:2 (1970), 542–552; 60:5 (1971), 1572–1583 | DOI

[9] V. A. Matveev, R. M. Muradyan, A. N. Tavkhelidze, Lett. Nuovo Cimento Ser. 2, 7:15 (1973), 719–723 | DOI

[10] S. J. Brodsky, G. R. Farrar, Phys. Rev. Lett., 31:18 (1973), 1153–1156 | DOI

[11] G. Stenli, Fazovye perekhody i kriticheskie yavleniya, Mir, M., 1973

[12] H. E. Stanley, Rev. Modern Phys., 71:2 (1999), S358–S366 | DOI

[13] A. Hankey, H. E. Stanley, Phys. Rev. B, 6:9 (1972), 3515–3542 | DOI

[14] M. V. Tokarev, I. Zborovski, Pisma v EChAYa, 7:3(159) (2010), 271–286 | DOI

[15] M. V. Tokarev, I. Zborovský, A. Kechechyan, A. Alakhverdyants, Pisma v EChAYa, 8:6(169) (2011), 893–906 | DOI

[16] M. V. Tokarev, I. Zborovský, YaF, 75:6 (2012), 750–756 | DOI

[17] I. Zborovský, M. V. Tokarev, Phys. Rev. D, 75:9 (2007), 094008, 22 pp. | DOI

[18] I. Zborovský, M. V. Tokarev, Internat. J. Modern Phys. A, 24:7 (2009), 1417–1442 | DOI

[19] M. V. Tokarev, I. Zborovský, J. Modern Phys., 3 (2012), 815–820 | DOI

[20] M. V. Tokarev, Pisma v EChAYa, 3:1(130) (2006), 17–30 | DOI

[21] M. V. Tokarev, Pisma v EChAYa, 4:5(141) (2007), 676–691 | DOI

[22] M. V. Tokarev, I. Zborovský, Pisma v EChAYa, 7:3(159) (2007), 287–305 | DOI

[23] M. V. Tokarev, YaF, 74:5 (2011), 825–830 | DOI | MR

[24] M. V. Tokarev, I. Zborovský, Nucl. Phys. Proc. Suppl. B, 245 (2013), 231–238 | DOI

[25] M. V. Tokarev, I. Zborovský, “Energy loss in heavy ion collisions”, Proceedings of the 40th International Symposium on Multiparticle Dynamics (ISMD) (Antwerpen, Belgium, 21–25 September, 2010), eds. N. van Remortel, P. Van Mechelen, University Press Antwerp, Antverpen, 2011, 301–306

[26] A. Abulencia, J. Adelman, T. Affolder et al. [CDF Collab.], Phys. Rev. D, 75:9 (2007), 092006, 19 pp., arXiv: hep-ex/0701051 | DOI

[27] V. M. Abazov, B. Abbott, M. Abolins et al. [DØ Collab.], Phys. Rev. Lett., 101:6 (2008), 062001, 7 pp., arXiv: 0802.2400 | DOI

[28] S. Chatrchyan, V. Khachatryan, A. M. Sirunyan et al. [CMS Collab.], Phys. Rev. Lett., 107:13 (2011), 132001, 14 pp., arXiv: 1106.0208 | DOI

[29] S. Chatrchyan, V. Khachatryan, A. M. Sirunyan et al. [CMS Collab.], Phys. Rev. D, 87:11 (2013), 112002, 21 pp. | DOI

[30] G. Aad, B. Abbott, J. Abdallah et al. [ATLAS Collab.], Phys. Rev. D, 86:1 (2012), 014022, 63 pp., arXiv: 1112.6297 | DOI

[31] B. Abelev, J. Adam, D. Adamová et al. [ALICE Collab.], Phys. Lett. B, 722:4–5 (2013), 262–272, arXiv: 1301.3475 | DOI

[32] M. V. Tokarev, T.G. Dedovich, Internat. J. Modern Phys. A, 15:22 (2000), 3495–3519 | DOI

[33] M. V. Tokarev, T. G. Dedovich, I. Zborovský, Internat. J. Modern Phys. A, 27:21 (2012), 1250115, 20 pp. | DOI | MR

[34] M. V. Tokarev, I. Zborovský, Nonlin. Phenom. Compl. Syst., 12:4 (2009), 459–465 | MR

[35] D. Acosta, J. Adelman, T. Affolder et al. [CDF Collab.], Phys. Rev. D, 71:3 (2005), 032001, 26 pp., arXiv: hep-ex/0412071 | DOI

[36] D. Acosta, T. Affolder, M. H. Ahn et al. [CDF II Collab.], Phys. Rev. Lett., 91:24 (2003), 241804, 7 pp., arXiv: hep-ex/0307080 | DOI

[37] D. Acosta, T. Affolder, H. Akimoto et al. [DF Collab.], Phys. Rev. Lett., 88:16 (2002), 161802, 6 pp. | DOI

[38] B. Alper, H. Böggild, P. Booth et al. [BS Collab.], Nucl. Phys. B, 100:2 (1975), 237–290 | DOI

[39] V.M. Abazov, B. Abbott, M. Abolins et al. [DØ Collab.], Phys. Lett. B, 693 (2010), 515–521, arXiv: 1001.1900 | DOI

[40] B. Abbott, M. Abolins, V. Abramov et al. [DØ Collab.], Phys. Rev. Lett., 82:12 (1999), 2451–2456, arXiv: ; B. Abbott, A. Abdesselam, M. Abolins et al. [DØ Collab.], Phys. Rev. D, 64:3 (2001), 032003, 69 pp., arXiv: ; V. M. Abazov, B. Abbott, A. Abdesselam et al. [DØ Collab.], Phys. Lett. B, 525:3–4 (2002), 211–218 hep-ex/9807018hep-ex/0012046 | DOI | DOI | DOI

[41] M. Voutilainen, “DØ QCD Studies”, Deep Inelastic Scattering DIS 2006, Proceedings of the 14th International Workshop (Tsukuba, Japan, April 20–24, 2006), eds. M. Kuze, K. Nagano, K. Tokushuku, World Sci., Singapore, 2007, 177–180 | DOI

[42] F. Abe, H. Akimoto, A. Akopian et al. [CDF Collab.], Phys. Rev. Lett., 77:3 (1996), 438–443, arXiv: ; T. Affolder, H. Akimoto, A. Akopian et al. [CDF Collab.], Phys. Rev. D, 64:3 (2001), 032001, 38 pp., arXiv: hep-ex/9601008hep-ph/0102074 | DOI | DOI

[43] A. Abulencia, D. Acosta, J. Adelman et al. [CDF Collab.], Phys. Rev. Lett., 96:12 (2006), 122001, 7 pp., arXiv: hep-ex/0512062 | DOI

[44] B.I. Abelev, M. M. Aggarwal, Z. Ahammed et al. [STAR Collab.], Phys. Lett. B., 655:3–4 (2007), 104–113 | DOI

[45] L. Kumar, Nucl. Phys. A, 830:1–4, 275c–278c | DOI | MR

[46] L. Kumar [STAR Collab.], J. Phys. G., 36:6 (2009), 064066, 6 pp., arXiv: 0812.4099 | DOI