Journal of High Energy Physics

, 2012:115 | Cite as

Exclusive final states in diffractive excitation

  • Christoffer Flensburg
  • Gösta Gustafson
  • Leif Lönnblad
Article
First Online:
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Accepted:

Abstract

In this paper we describe a formalism for generating exclusive final states in diffractive excitation, based on the optical analogy where diffraction is fully determined by the absorption into inelastic channels. The formalism is based on the Good-Walker formalism for diffractive excitation, and it is assumed that the virtual parton cascades represent the diffractive eigenstates defined by a definite absorption amplitude. We emphasize that, although diffractive excitation is basically a quantum-mechanical phenomenon with strong interference effects, it is possible to calculate the different interfering components to the amplitude in an event generator, add them and thus calculate the reaction cross section for exclusive diffractive final states. The formalism is implemented in the DIPSY event generator, introducing no tunable parameters beyond what has been determined previously in studies of non-diffractive events. Some early results for DIS and proton-proton collisions are presented, and compared to experimental data.

Keywords

Phenomenological Models Monte Carlo Simulations 
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References

  1. [1]
    H1 collaboration, C. Adloff et al., Inclusive measurement of diffractive deep inelastic ep scattering, Z. Phys. C 76 (1997) 613 [hep-ex/9708016] [INSPIRE].Google Scholar
  2. [2]
    ZEUS collaboration, S. Chekanov et al., Study of deep inelastic inclusive and diffractive scattering with the ZEUS forward plug calorimeter, Nucl. Phys. B 713 (2005) 3 [hep-ex/0501060] [INSPIRE].ADSGoogle Scholar
  3. [3]
    UA4 collaboration, D. Bernard et al., Pseudorapidity distribution of charged particles in diffraction dissociation events at the CERN SPS collider, Phys. Lett. B 166 (1986) 459 [INSPIRE].ADSGoogle Scholar
  4. [4]
    UA5 collaboration, R. Ansorge et al., Diffraction dissociation at the CERN pulsed collider at cm energies of 900 GeV and 200 GeV, Z. Phys. C 33 (1986) 175 [INSPIRE].ADSGoogle Scholar
  5. [5]
    CDF collaboration, F. Abe et al., Measurement of \( \overline{p} \) p single diffraction dissociation at \( \sqrt{s}=546 \) GeV and 1800GeV, Phys. Rev. D 50 (1994) 5535 [INSPIRE].ADSGoogle Scholar
  6. [6]
    A.H. Mueller, O(2, 1) analysis of single particle spectra at high-energy, Phys. Rev. D 2 (1970) 2963 [INSPIRE].ADSGoogle Scholar
  7. [7]
    C.E. DeTar et al., Helicity poles, triple-regge behavior and single-particle spectra in high-energy collisions, Phys. Rev. Lett. 26 (1971) 675 [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    V. Abramovsky, V. Gribov and O. Kancheli, Character of inclusive spectra and fluctuations produced in inelastic processes by multi-pomeron exchange, Yad. Fiz. 18 (1973) 595 [INSPIRE].Google Scholar
  9. [9]
    A. Kaidalov and M. Poghosyan, Predictions of quark-gluon String Model for pp at LHC, Eur. Phys. J. C 67 (2010) 397 [arXiv:0910.2050] [INSPIRE].ADSCrossRefGoogle Scholar
  10. [10]
    S. Ostapchenko, Monte Carlo treatment of hadronic interactions in enhanced Pomeron scheme: I. QGSJET-II model, Phys. Rev. D 83 (2011) 014018 [arXiv:1010.1869] [INSPIRE].ADSGoogle Scholar
  11. [11]
    M. Ryskin, A. Martin and V. Khoze, High-energy strong interactions: from ‘hard’ to ‘soft’, Eur. Phys. J. C 71 (2011) 1617 [arXiv:1102.2844] [INSPIRE].ADSCrossRefGoogle Scholar
  12. [12]
    M. Ryskin, A. Martin and V. Khoze, Proton Opacity in the Light of LHC Diffractive Data, Eur. Phys. J. C 72 (2012) 1937 [arXiv:1201.6298] [INSPIRE].ADSCrossRefGoogle Scholar
  13. [13]
    E. Gotsman, A. Kormilitzin, E. Levin and U. Maor, QCD motivated approach to soft interactions at high energies: nucleus-nucleus and hadron-nucleus collisions, Nucl. Phys. A 842 (2010) 82 [arXiv:0912.4689] [INSPIRE].ADSGoogle Scholar
  14. [14]
    E. Gotsman, E. Levin and U. Maor, Soft interaction model and the LHC data, Phys. Rev. D 85 (2012) 094007 [arXiv:1203.2419] [INSPIRE].ADSGoogle Scholar
  15. [15]
    E. Gotsman, E. Levin and U. Maor, Description of LHC data in a soft interaction model, Phys. Lett. B 716 (2012) 425 [arXiv:1208.0898] [INSPIRE].ADSGoogle Scholar
  16. [16]
    A. Martin et al., Diffractive physics, PoS(QNP2012)017 [arXiv:1206.2124] [INSPIRE].
  17. [17]
    M. Good and W. Walker, Diffraction disssociation of beam particles, Phys. Rev. 120 (1960) 1857 [INSPIRE].ADSCrossRefGoogle Scholar
  18. [18]
    H.I. Miettinen and J. Pumplin, Diffraction Scattering and the Parton Structure of Hadrons, Phys. Rev. D 18 (1978) 1696 [INSPIRE].ADSGoogle Scholar
  19. [19]
    A.H. Mueller, Small x Behavior and Parton Saturation: A QCD Model, Nucl. Phys. B 335 (1990) 115 [INSPIRE].MathSciNetADSCrossRefGoogle Scholar
  20. [20]
    Y. Hatta, E. Iancu, C. Marquet, G. Soyez and D. Triantafyllopoulos, Diffusive scaling and the high-energy limit of deep inelastic scattering in QCD at large-N c, Nucl. Phys. A 773 (2006) 95 [hep-ph/0601150] [INSPIRE].ADSMATHGoogle Scholar
  21. [21]
    E. Avsar, G. Gustafson and L. Lönnblad, Diifractive excitation in DIS and pp collisions, JHEP 12 (2007) 012 [arXiv:0709.1368] [INSPIRE].ADSGoogle Scholar
  22. [22]
    C. Flensburg and G. Gustafson, Fluctuations, saturation and diffractive excitation in high energy collisions, JHEP 10 (2010) 014 [arXiv:1004.5502] [INSPIRE].ADSCrossRefGoogle Scholar
  23. [23]
    G. Gustafson, The Relation between the Good-Walker and Triple-Regge Formalisms for Diffractive Excitation, arXiv:1206.1733 [INSPIRE].
  24. [24]
    A. Edin, G. Ingelman and J. Rathsman, Soft color interactions as the origin of rapidity gaps in DIS, Phys. Lett. B 366 (1996) 371 [hep-ph/9508386] [INSPIRE].ADSGoogle Scholar
  25. [25]
    R. Pasechnik, R. Enberg and G. Ingelman, Diffractive deep inelastic scattering from multiple soft gluon exchange in QCD, Phys. Lett. B 695 (2011) 189 [arXiv:1004.2912] [INSPIRE].ADSGoogle Scholar
  26. [26]
    K.J. Golec-Biernat and M. Wusthoff, Saturation in diffractive deep inelastic scattering, Phys. Rev. D 60 (1999) 114023 [hep-ph/9903358] [INSPIRE].ADSGoogle Scholar
  27. [27]
    K.J. Golec-Biernat and M. Wusthoff, Diffractive parton distributions from the saturation model, Eur. Phys. J. C 20 (2001) 313 [hep-ph/0102093] [INSPIRE].ADSCrossRefGoogle Scholar
  28. [28]
    K.A. Goulianos, Renormalization of hadronic diffraction and the structure of the Pomeron, Phys. Lett. B 358 (1995) 379 [Erratum ibid. B 363 (1995) 268] [hep-ph/9502356] [INSPIRE].
  29. [29]
    EHS/NA22 collaboration, M. Adamus et al., Single diffraction dissociation in π+ p and K + p interactions at 250 GeV/c, Z. Phys. C 39 (1988) 301 [INSPIRE].Google Scholar
  30. [30]
    R608 collaboration, A. Smith et al., Evidence for Pomeron single quark interactions in proton diffraction at the ISR, Phys. Lett. B 163 (1985) 267 [INSPIRE].ADSGoogle Scholar
  31. [31]
    R608 collaboration, A. Smith et al., Observation of longitudinal event structure in proton diffractive dissociation at the ISR, Phys. Lett. B 167 (1986) 248 [INSPIRE].ADSGoogle Scholar
  32. [32]
    A. Donnachie and P. Landshoff, Elastic Scattering and Diffraction Dissociation, Nucl. Phys. B 244 (1984) 322 [INSPIRE].ADSCrossRefGoogle Scholar
  33. [33]
    H1 collaboration, C. Adloff et al., Thrust jet analysis of deep inelastic large rapidity gap events, Eur. Phys. J. C 1 (1998) 495 [hep-ex/9711006] [INSPIRE].ADSCrossRefGoogle Scholar
  34. [34]
    UA8 collaboration, R. Bonino et al., Evidence for Transverse Jets in High Mass Diffraction, Phys. Lett. B 211 (1988) 239 [INSPIRE].ADSGoogle Scholar
  35. [35]
    CDF collaboration, T. Affolder et al., Diffractive dijets with a leading antiproton in \( \overline{p} \) p collisions at \( \sqrt{s}=1800 \) GeV, Phys. Rev. Lett. 84 (2000) 5043 [INSPIRE].ADSCrossRefGoogle Scholar
  36. [36]
    D0 collaboration, B. Abbott et al., Hard single diffraction in \( \overline{p} \) p collisions at \( \sqrt{s}=630 \) GeV and 1800 GeV, Phys. Lett. B 531 (2002) 52 [hep-ex/9912061] [INSPIRE].Google Scholar
  37. [37]
    ZEUS collaboration, S. Chekanov et al., Dijet production in diffractive deep inelastic scattering at HERA, Eur. Phys. J. C 52 (2007) 813 [arXiv:0708.1415] [INSPIRE].ADSCrossRefGoogle Scholar
  38. [38]
    H1 collaboration, F. Aaron et al., Measurement of Dijet Production in Diffractive Deep-Inelastic Scattering with a Leading Proton at HERA, Eur. Phys. J. C 72 (2012) 1970 [arXiv:1111.0584] [INSPIRE].ADSCrossRefGoogle Scholar
  39. [39]
    CDF collaboration, T. Aaltonen et al., Observation of Exclusive Dijet Production at the Fermilab Tevatron p − \( \overline{p} \) Collider, Phys. Rev. D 77 (2008) 052004 [arXiv:0712.0604] [INSPIRE].ADSGoogle Scholar
  40. [40]
    CDF collaboration, A. Abulencia et al., Observation of Exclusive Electron-Positron Production in Hadron-Hadron Collisions, Phys. Rev. Lett. 98 (2007) 112001 [hep-ex/0611040] [INSPIRE].ADSCrossRefGoogle Scholar
  41. [41]
    G. Ingelman and P. Schlein, Jet Structure in High Mass Diffractive Scattering, Phys. Lett. B 152 (1985) 256 [INSPIRE].ADSGoogle Scholar
  42. [42]
    ZEUS collaboration, S. Chekanov et al., A QCD analysis of ZEUS diffractive data, Nucl. Phys. B 831 (2010) 1 [arXiv:0911.4119] [INSPIRE].ADSGoogle Scholar
  43. [43]
    P. Bruni, A. Edin and G. Ingelman, POMPYT version 2.6, unpublished.Google Scholar
  44. [44]
    H. Jung, Hard diffractive scattering in high-energy e p collisions and the Monte Carlo generator RAPGAP, Comput. Phys. Commun. 86 (1995) 147 [INSPIRE].ADSCrossRefGoogle Scholar
  45. [45]
    T. Sjöstrand, S. Mrenna and P.Z. Skands, A brief introduction to PYTHIA 8.1, Comput. Phys. Commun. 178 (2008) 852 [arXiv:0710.3820] [INSPIRE].ADSMATHCrossRefGoogle Scholar
  46. [46]
    E. Avsar, G. Gustafson and L. Lönnblad, Energy conservation and saturation in small-x evolution, JHEP 07 (2005) 062 [hep-ph/0503181] [INSPIRE].ADSCrossRefGoogle Scholar
  47. [47]
    C. Flensburg, G. Gustafson and L. Lönnblad, Inclusive and exclusive observables from dipoles in high energy collisions, JHEP 08 (2011) 103 [arXiv:1103.4321] [INSPIRE].ADSCrossRefGoogle Scholar
  48. [48]
    R. Glauber, in Lectures in Theoretical Physics. Vol. I, W. Brittin and L. Dunham eds., Interscience Publishers Inc., New York U.S.A. (1957), p. 315.Google Scholar
  49. [49]
    A.H. Mueller, Soft gluons in the infinite momentum wave function and the BFKL Pomeron, Nucl. Phys. B 415 (1994) 373 [INSPIRE].ADSCrossRefGoogle Scholar
  50. [50]
    A.H. Mueller and B. Patel, Single and double BFKL Pomeron exchange and a dipole picture of high-energy hard processes, Nucl. Phys. B 425 (1994) 471 [hep-ph/9403256] [INSPIRE].ADSCrossRefGoogle Scholar
  51. [51]
    A.H. Mueller, Unitarity and the BFKL Pomeron, Nucl. Phys. B 437 (1995) 107 [hep-ph/9408245] [INSPIRE].ADSCrossRefGoogle Scholar
  52. [52]
    E. Avsar, G. Gustafson and L. Lönnblad, Small-x dipole evolution beyond the large-N c imit, JHEP 01 (2007) 012 [hep-ph/0610157] [INSPIRE].ADSGoogle Scholar
  53. [53]
    C. Flensburg, G. Gustafson and L. Lönnblad, Elastic and quasi-elastic pp and γ * p scattering in the Dipole Model, Eur. Phys. J. C 60 (2009) 233 [arXiv:0807.0325] [INSPIRE].ADSCrossRefGoogle Scholar
  54. [54]
    G.P. Salam, An introduction to leading and next-to-leading BFKL, Acta Phys. Polon. B 30 (1999) 3679 [hep-ph/9910492] [INSPIRE].ADSGoogle Scholar
  55. [55]
    J. Kwiecinski, A.D. Martin and P. Sutton, Constraints on gluon evolution at small x, Z. Phys. C 71 (1996) 585 [hep-ph/9602320] [INSPIRE].ADSGoogle Scholar
  56. [56]
    I. Balitsky and G.A. Chirilli, NLO evolution of color dipole, Acta Phys. Polon. B 39 (2008) 2561 [INSPIRE].ADSGoogle Scholar
  57. [57]
    E. Avsar, On the high energy behaviour of the total cross section in the QCD dipole model, JHEP 04 (2008) 033 [arXiv:0803.0446] [INSPIRE].ADSCrossRefGoogle Scholar
  58. [58]
    S. Catani, F. Fiorani and G. Marchesini, Small x behavior of initial state radiation in perturbative QCD, Nucl. Phys. B 336 (1990) 18 [INSPIRE].ADSCrossRefGoogle Scholar
  59. [59]
    M. Ciafaloni, Coherence effects in initial jets at small Q 2 /s, Nucl. Phys. B 296 (1988) 49 [INSPIRE].ADSCrossRefGoogle Scholar
  60. [60]
    B. Andersson, G. Gustafson and J. Samuelsson, The linked dipole chain model for DIS, Nucl. Phys. B 467 (1996) 443 [INSPIRE].ADSCrossRefGoogle Scholar
  61. [61]
    G. Salam, Soft emissions and the equivalence of BFKL and CCFM final states, JHEP 03 (1999) 009 [hep-ph/9902324] [INSPIRE].ADSCrossRefGoogle Scholar
  62. [62]
    G. Gustafson and G. Miu, Minijets and transverse energy flow in high-energy collisions, Phys. Rev. D 63 (2001) 034004 [hep-ph/0002278] [INSPIRE].ADSGoogle Scholar
  63. [63]
    M. Bahr et al., HERWIG++ physics and manual, Eur. Phys. J. C 58 (2008) 639 [arXiv:0803.0883] [INSPIRE].ADSCrossRefGoogle Scholar
  64. [64]
    G. Gustafson, Dual description of a confined color field, Phys. Lett. B 175 (1986) 453 [INSPIRE].ADSGoogle Scholar
  65. [65]
    G. Gustafson and U. Pettersson, Dipole formulation of QCD cascades, Nucl. Phys. B 306 (1988) 746 [INSPIRE].ADSCrossRefGoogle Scholar
  66. [66]
    L. Lönnblad, ARIADNE version 4: A Program for simulation of QCD cascades implementing the color dipole model, Comput. Phys. Commun. 71 (1992) 15 [INSPIRE].ADSCrossRefGoogle Scholar
  67. [67]
    B. Andersson, G. Gustafson and B. Soderberg, A general model for jet fragmentation, Z. Phys. C 20 (1983) 317 [INSPIRE].ADSGoogle Scholar
  68. [68]
    B. Andersson, G. Gustafson, G. Ingelman and T. Sjöstrand, Parton fragmentation and string dynamics, Phys. Rept. 97 (1983) 31 [INSPIRE].ADSCrossRefGoogle Scholar
  69. [69]
    T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 physics and manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].ADSCrossRefGoogle Scholar
  70. [70]
    H1 collaboration, C. Adloff et al., Multiplicity structure of the hadronic final state in diffractive deep inelastic scattering at HERA, Eur. Phys. J. C 5 (1998) 439 [hep-ex/9804012] [INSPIRE].ADSCrossRefGoogle Scholar
  71. [71]
    H1 collaboration, C. Adloff et al., Hadron production in diffractive deep inelastic scattering, Phys. Lett. B 428 (1998) 206 [hep-ex/9803032] [INSPIRE].ADSGoogle Scholar

Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  • Christoffer Flensburg
    • 1
  • Gösta Gustafson
    • 1
  • Leif Lönnblad
    • 1
  1. 1.Department of Astronomy and Theoretical PhysicsLund UniversityLundSweden

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