Physics of Particles and Nuclei Letters

, Volume 12, Issue 1, pp 48–58 | Cite as

Fractal structure of hadrons in processes with polarized protons at SPD NICA (Proposal for experiment)

Physics of Elementary Particles and Atomic Nuclei. Experiment


The concept of z-scaling previously developed for analysis of inclusive reactions in proton-proton collisions is applied for description of processes with polarized protons at the planned Spin Physics Detector NICA in Dubna. Hypotheses of self-similarity and fractality of the proton spin structure are discussed. The possibilities to extract information on spin-dependent fractal dimensions of hadrons and fragmentation process from asymmetries and coefficients of polarization transfer are justified. The double longitudinal spin asymmetry A LL of π0 meson production and the coefficient of the polarization transfer D LL of Λ hyperon production in proton-proton collisions measured at RHIC are analyzed in the framework of z-scaling. The spin-dependent fractal dimensions of proton and fragmentation process with polarized λ hyperon are estimated. A study of the spin-dependent constituent energy loss as a function of transverse momentum of the inclusive hadron and collision energy is suggested.


Self-similarity high energy proton-proton collisions asymmetry polarization 


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  1. 1.
    E. C. Aschenauer, et al. (for RHIC Spin Collab.), “The RHIC spin program: achievements and future opportunities,” arXiv:1304.0079.Google Scholar
  2. 2.
    A. Adare, et al. (PHENIX Collab.), “Inclusive double-helicity asymmetries in neutral-pion and eta-meson production in \(\vec p + \vec p\) collisions at √s = 200 GeV,” arXiv:1402.6296 [hep-ex] 25 Feb 2014.Google Scholar
  3. 3.
    L. Adamczyk, et al. (STAR Collab.), “Precision mea-surement of the longitudinal double-spin asymmetry for inclusive jet production in polarized proton collisions at √s = 200 GeV,” arXiv:1405.5134 [hep-ex] 20 May 2014.Google Scholar
  4. 4.
    Q. Xu, (for the STAR Collab.), “Recent spin results from STAR,” Proc. DSPIN2013, Dubna, Russia, 8–12 October, 2013;
  5. 5.
    M. Stratmann, “Partonic spin structure of the nucleon: status & path forward,” Proc. MENU 2013, Rome, Italy, 30 September–4 October, 2013;
  6. 6.
    M. Anselmino, M. Boglione, U. D’Alesio, S. Melis, F. Murgia, and A. Prokudin, “Sivers effect and the single spin asymmetry AN in pphX processes,” Phys. Rev. D 88, 054023 (2013).ADSCrossRefGoogle Scholar
  7. 7.
    I. Arsene, et al. (BRAHMS Collab.), “Single transverse spin asymmetries of identified charged hadrons in polarized p + p collisions at √s = 62.4 GeV,” Phys. Rev. Lett.. 101, 042001 (2008).ADSCrossRefGoogle Scholar
  8. 8.
    J. Lee and F. Videbaek (BRAHMS Collab.), “Single spin asymmetries of identified hadrons in polarized p + p at s**(1/2) = 62.4 and 200-GeV,” AIP Conf. Proc. 915, 533 (2007).ADSCrossRefGoogle Scholar
  9. 9.
    I. Zborovský and M. V. Tokarev, “Generalized z-scaling in proton-proton collisions at high energies,” Phys. Rev. D 75, 094008 (2007).ADSCrossRefGoogle Scholar
  10. 10.
    I. Zborovský and M. V. Tokarev, “New properties of z-scaling: flavor independence and saturation at low z,” Int. J. Mod. Phys. A 24, 1417–1442 (2009).ADSCrossRefGoogle Scholar
  11. 11.
    M. V. Tokarev and I. Zborovský “z-Scaling as manifestation of symmetry in nature,” Selected papers of the seminar (2002–2005),“Symmetries and Integrable Systems”, Ed. by A. N. Sysakian, JINR, Dubna, 2006, vol. II, p. 154.Google Scholar
  12. 12.
    M. V. Tokarev, O. V. Rogachevsky, and T. G. Dedovich, “Scaling features of π0-meson production in high-energy pp collisions,” J. Phys. G: Nucl. Part. Phys. 26, 1671 (2000).ADSCrossRefGoogle Scholar
  13. 13.
    M. V. Tokarev, “Neutral-meson production in pp collisions at RHIC and QCD test of z-scaling,” Phys. Atom. Nucl. 72, 541 (2009).ADSCrossRefGoogle Scholar
  14. 14.
    M. V. Tokarev and I. Zborovský “Self-similarity of high p T hadron production in cumulative processes and violation of discrete symmetries at small scales (suggestion for experiment),” Phys. Part. Nucl. Lett. 7, 160 (2010).CrossRefGoogle Scholar
  15. 15.
    M. V. Tokarev, I. Zborovský A. Kechechyan, and A. Alakhverdyants, “Search for signatures of phase transition and critical point in heavy-ion collisions,” Phys. Part. Nucl. Lett. 8, 533 (2011).CrossRefGoogle Scholar
  16. 16.
    M. V. Tokarev and I. Zborovský “On self-similarity of top production at tevatron,” J. Mod. Phys. 3, 815 (2012).CrossRefGoogle Scholar
  17. 17.
    M. V. Tokarev, I. Zborovský and T. G. Dedovich, “Self-similarity of jet production in pp and pbarp collisions at RHIC, Tevatron and LHC,” Int. J. Mod. Phys. A 27, 1250115 (2012).ADSCrossRefGoogle Scholar
  18. 18.
    H. E. Stanley, Introduction to Phase Transitions and Critical Phenomena (Oxford University Press, London, 1971).Google Scholar
  19. 19.
    H. E. Stanley, “Scaling, universality, and renormalization: Three pillars of modern critical phenomena,” Rev. Mod. Phys. 71, S358–S366 (1999).CrossRefGoogle Scholar
  20. 20.
    A. Hankey and H. E. Stanley, “Systematic application of generalized homogeneous functions to static scaling, dynamic scaling, and universality,” Phys. Rev. B 6, 3515–3542 (1972).ADSCrossRefGoogle Scholar
  21. 21.
    S. Lübeck, “Universal scaling behavior of non-equlibrium phase transitions,” Int. J. Mod. Phys. B 18, 3977 (2004).ADSCrossRefGoogle Scholar
  22. 22.
    Yu. V. Kovchegov and M. D. Sievert, “A new mechanism for generating a single transverse spin asymmetry,” Phys. Rev. D 86, 034028 (2012).ADSCrossRefGoogle Scholar
  23. 23.
    V. V. Abramov, “Phenomenology of single-spin effects in hadron production at high energies,” Phys. Atom. Nucl. 72, 1872 (2009).CrossRefGoogle Scholar
  24. 24.
    A. Bravar, et al. (Fermilab E704 Collab.), “Spin Transfer in inclusive Λ0 production by transversely polarized protons at 200 GeV/c,” Phys. Rev. Lett. 78, 4003 (1997).ADSCrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Joint Institute for Nuclear ResearchDubnaRussia
  2. 2.Nuclear Physics InstituteAcademy of Sciences of the Czech RepublicŘžeCzech Republic

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