Abstract
In models for hadron collisions based on string hadronization, the strings are usually treated as independent, allowing no interaction between the confined colour fields. In studies of nucleus collisions it has been suggested that strings close in space can fuse to form “colour ropes”. Such ropes are expected to give more strange particles and baryons, which also has been suggested as a signal for plasma formation. Overlapping strings can also be expected in pp collisions, where usually no phase transition is expected. In particular at the high LHC energies the expected density of strings is quite high. To investigate possible effects of rope formation, we present a model in which strings are allowed to combine into higher multiplets, giving rise to increased production of baryons and strangeness, or recombine into singlet structures and vanish. Also a crude model for strings recombining into junction structures is considered, again giving rise to increased baryon production. The models are implemented in the dipsy MC event generator, using Pythia8 for hadronization, and comparison to pp minimum bias data, reveals improvement in the description of identified particle spectra.
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T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 physics and manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
M. Bähr et al., HERWIG++ physics and manual, Eur. Phys. J. C 58 (2008) 639 [arXiv:0803.0883] [INSPIRE].
T.S. Biro, H.B. Nielsen and J. Knoll, Color rope model for extreme relativistic heavy ion collisions, Nucl. Phys. B 245 (1984) 449 [INSPIRE].
A. Białas and W. Czyz, Chromoelectric flux tubes and the transverse momentum distribution in high-energy nucleus-nucleus collisions, Phys. Rev. D 31 (1985) 198 [INSPIRE].
A.K. Kerman, T. Matsui and B. Svetitsky, Particle production in the central rapidity region of ultrarelativistic nuclear collisions, Phys. Rev. Lett. 56 (1986) 219 [INSPIRE].
M. Gyulassy and A. Iwazaki, Quark and gluon pair production in SU(N) covariant constant fields, Phys. Lett. B 165 (1985) 157 [INSPIRE].
B. Andersson and P.A. Henning, On the dynamics of a color rope: the fragmentation of interacting strings and the longitudinal distributions, Nucl. Phys. B 355 (1991) 82 [INSPIRE].
M. Braun and C. Pajares, A probabilistic model of interacting strings, Nucl. Phys. B 390 (1993) 542 [INSPIRE].
M. Braun and C. Pajares, Cross-sections and multiplicities in hadron nucleus collisions with interacting color strings, Phys. Rev. D 47 (1993) 114 [INSPIRE].
N.S. Amelin, M.A. Braun and C. Pajares, String fusion and particle production at high-energies: Monte Carlo string fusion model, Z. Phys. C 63 (1994) 507 [INSPIRE].
N. Armesto, M.A. Braun, E.G. Ferreiro and C. Pajares, Strangeness enhancement and string fusion in nucleus-nucleus collisions, Phys. Lett. B 344 (1995) 301 [INSPIRE].
K. Kajantie and T. Matsui, Decay of strong color electric field and thermalization in ultrarelativistic nucleus-nucleus collisions, Phys. Lett. B 164 (1985) 373 [INSPIRE].
G. Gatoff, A.K. Kerman and T. Matsui, The flux tube model for ultrarelativistic heavy ion collisions: electrohydrodynamics of a quark gluon plasma, Phys. Rev. D 36 (1987) 114 [INSPIRE].
M.A. Braun, C. Pajares and J. Ranft, Fusion of strings versus percolation and the transition to the quark gluon plasma, Int. J. Mod. Phys. A 14 (1999) 2689 [hep-ph/9707363] [INSPIRE].
E. Avsar, G. Gustafson and L. Lönnblad, Energy conservation and saturation in small-x evolution, JHEP 07 (2005) 062 [hep-ph/0503181] [INSPIRE].
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].
C. Merino, C. Pajares and J. Ranft, Effects of interaction of strings in the dual parton model, Phys. Lett. B 276 (1992) 168 [INSPIRE].
H.J. Möhring, J. Ranft, C. Merino and C. Pajares, String fusion in the dual parton model and the production of anti-hyperons in heavy ion collisions, Phys. Rev. D 47 (1993) 4142 [INSPIRE].
H. Sorge, M. Berenguer, H. Stoecker and W. Greiner, Color rope formation and strange baryon production in ultrarelativistic heavy ion collisions, Phys. Lett. B 289 (1992) 6 [INSPIRE].
M. Bleicher, W. Greiner, H. Stoecker and N. Xu, Strangeness enhancement from strong color fields at RHIC, Phys. Rev. C 62 (2000) 061901 [hep-ph/0007215] [INSPIRE].
S. Soff, J. Randrup, H. Stoecker and N. Xu, Effects of strong color fields on baryon dynamics, Phys. Lett. B 551 (2003) 115 [nucl-th/0209093] [INSPIRE].
B. Andersson, G. Gustafson and B. Söderberg, A general model for jet fragmentation, Z. Phys. C 20 (1983) 317 [INSPIRE].
B. Andersson and G. Gustafson, Semiclassical models for gluon jets and leptoproduction based on the massless relativistic string, Z. Phys. C 3 (1980) 223 [INSPIRE].
B. Andersson, G. Gustafson, G. Ingelman and T. Sjöstrand, Parton fragmentation and string dynamics, Phys. Rept. 97 (1983) 31 [INSPIRE].
A. Buckley et al., General-purpose event generators for LHC physics, Phys. Rept. 504 (2011) 145 [arXiv:1101.2599] [INSPIRE].
K. Hamacher and M. Weierstall, The next round of hadronic generator tuning heavily based on identified particle data, hep-ex/9511011 [INSPIRE].
T. Sjöstrand et al., An introduction to PYTHIA 8.2, arXiv:1410.3012 [INSPIRE].
A. Casher, H. Neuberger and S. Nussinov, Chromoelectric flux tube model of particle production, Phys. Rev. D 20 (1979) 179 [INSPIRE].
B. Andersson, G. Gustafson and T. Sjöstrand, A three-dimensional model for quark and gluon jets, Z. Phys. C 6 (1980) 235 [INSPIRE].
E.G. Gurvich, The quark anti-quark pair production mechanism in a quark jet, Phys. Lett. B 87 (1979) 386 [INSPIRE].
N.K. Glendenning and T. Matsui, Creation of \( q\overline{q} \) pairs in a chromoelectric flux tube, Phys. Rev. D 28 (1983) 2890 [INSPIRE].
J.S. Schwinger, On gauge invariance and vacuum polarization, Phys. Rev. 82 (1951) 664 [INSPIRE].
E. Brezin and C. Itzykson, Pair production in vacuum by an alternating field, Phys. Rev. D 2 (1970) 1191 [INSPIRE].
UA5 collaboration, G.J. Alner et al., Kaon production in \( \overline{p}p \) reactions at a center-of-mass energy of 540 GeV, Nucl. Phys. B 258 (1985) 505 [INSPIRE].
H1 collaboration, F.D. Aaron et al., Strangeness production at low Q 2 in deep-inelastic ep scattering at HERA, Eur. Phys. J. C 61 (2009) 185 [arXiv:0810.4036] [INSPIRE].
CMS collaboration, Strange particle production in pp collisions at \( \sqrt{s} \) = 0.9 and 7 TeV, JHEP 05 (2011) 064 [arXiv:1102.4282] [INSPIRE].
J. Ambjørn, P. Olesen and C. Peterson, Stochastic confinement and dimensional reduction. 2. Three-dimensional SU(2) lattice gauge theory, Nucl. Phys. B 240 (1984) 533 [INSPIRE].
G.S. Bali, Casimir scaling of SU(3) static potentials, Phys. Rev. D 62 (2000) 114503 [hep-lat/0006022] [INSPIRE].
A.H. Mueller, Soft gluons in the infinite-momentum wave function and the BFKL pomeron, Nucl. Phys. B 415 (1994) 373 [INSPIRE].
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].
A.H. Mueller, Unitarity and the BFKL pomeron, Nucl. Phys. B 437 (1995) 107 [hep-ph/9408245] [INSPIRE].
L.D. McLerran and R. Venugopalan, Computing quark and gluon distribution functions for very large nuclei, Phys. Rev. D 49 (1994) 2233 [hep-ph/9309289] [INSPIRE].
L.D. McLerran and R. Venugopalan, Gluon distribution functions for very large nuclei at small transverse momentum, Phys. Rev. D 49 (1994) 3352 [hep-ph/9311205] [INSPIRE].
C. Flensburg, G. Gustafson, L. Lönnblad and A. Ster, Correlations in double parton distributions at small x, JHEP 06 (2011) 066 [arXiv:1103.4320] [INSPIRE].
C. Flensburg and G. Gustafson, Fluctuations, saturation and diffractive excitation in high energy collisions, JHEP 10 (2010) 014 [arXiv:1004.5502] [INSPIRE].
C. Flensburg, G. Gustafson and L. Lönnblad, Exclusive final states in diffractive excitation, JHEP 12 (2012) 115 [arXiv:1210.2407] [INSPIRE].
C. Flensburg, Correlations and fluctuations in the initial state of high energy heavy ion collisions, arXiv:1108.4862 [INSPIRE].
C. Flensburg, Heavy ion inital states from DIPSY, Prog. Theor. Phys. Suppl. 193 (2012) 172 [INSPIRE].
K.G. Wilson, Confinement of quarks, Phys. Rev. D 10 (1974) 2445 [INSPIRE].
B. Andersson and G. Gustafson, Why are vector mesons suppressed in jet fragmentation?, Lund Preprint LU-TP-82-5 (1982) [INSPIRE].
B. Andersson, G. Gustafson and T. Sjöstrand, A model for baryon production in quark and gluon jets, Nucl. Phys. B 197 (1982) 45 [INSPIRE].
B. Andersson, G. Gustafson and T. Sjöstrand, Baryon production in jet fragmentation and γ-decay, Phys. Scripta 32 (1985) 574 [INSPIRE].
S. Jeon and R. Venugopalan, Random walks of partons in SU(N c ) and classical representations of color charges in QCD at small x, Phys. Rev. D 70 (2004) 105012 [hep-ph/0406169] [INSPIRE].
K. Johnson, The M.I.T. bag model, Acta Phys. Polon. B 6 (1975) 865 [INSPIRE].
K. Johnson and C.B. Thorn, String-like solutions of the bag model, Phys. Rev. D 13 (1976) 1934 [INSPIRE].
C. Semay, About the Casimir scaling hypothesis, Eur. Phys. J. A 22 (2004) 353 [hep-ph/0409105] [INSPIRE].
M. Cardoso, N. Cardoso and P. Bicudo, Lattice QCD computation of the colour fields for the static hybrid quark-gluon-antiquark system and microscopic study of the Casimir scaling, Phys. Rev. D 81 (2010) 034504 [arXiv:0912.3181] [INSPIRE].
P. Cea, L. Cosmai, F. Cuteri and A. Papa, Flux tubes in the SU(3) vacuum: London penetration depth and coherence length, Phys. Rev. D 89 (2014) 094505 [arXiv:1404.1172] [INSPIRE].
E. Avsar, G. Gustafson and L. Lönnblad, Small-x dipole evolution beyond the large-N c limit, JHEP 01 (2007) 012 [hep-ph/0610157] [INSPIRE].
E. Avsar, G. Gustafson and L. Lönnblad, Diifractive excitation in DIS and pp collisions, JHEP 12 (2007) 012 [arXiv:0709.1368] [INSPIRE].
E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The pomeranchuk singularity in nonabelian gauge theories, Sov. Phys. JETP 45 (1977) 199 [INSPIRE].
I.I. Balitsky and L.N. Lipatov, The pomeranchuk singularity in quantum chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [INSPIRE].
G. Gustafson, Dual description of a confined color field, Phys. Lett. B 175 (1986) 453 [INSPIRE].
G. Gustafson and U. Pettersson, Dipole formulation of QCD cascades, Nucl. Phys. B 306 (1988) 746 [INSPIRE].
L. Lönnblad, ARIADNE version 4: a program for simulation of QCD cascades implementing the color dipole model, Comput. Phys. Commun. 71 (1992) 15 [INSPIRE].
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].
L. Lönnblad, Reconnecting colored dipoles, Z. Phys. C 70 (1996) 107 [INSPIRE].
T. Sjöstrand and M. van Zijl, A multiple interaction model for the event structure in hadron collisions, Phys. Rev. D 36 (1987) 2019 [INSPIRE].
G. Gustafson, U. Pettersson and P.M. Zerwas, Jet final states in WW pair production and color screening in the QCD vacuum, Phys. Lett. B 209 (1988) 90 [INSPIRE].
T. Sjöstrand and V.A. Khoze, Does the W mass reconstruction survive QCD effects?, Phys. Rev. Lett. 72 (1994) 28 [hep-ph/9310276] [INSPIRE].
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].
R. Enberg, G. Ingelman and N. Timneanu, Soft color interactions and diffractive hard scattering at the Tevatron, Phys. Rev. D 64 (2001) 114015 [hep-ph/0106246] [INSPIRE].
B. Andersson, G. Gustafson and B. Söderberg, A probability measure on parton and string states, Nucl. Phys. B 264 (1986) 29 [INSPIRE].
B. Andersson, P. Dahlkvist and G. Gustafson, An infrared stable multiplicity measure on QCD parton states, Phys. Lett. B 214 (1988) 604 [INSPIRE].
L. Lönnblad, ThePEG, PYTHIA7, HERWIG++ and Ariadne, Nucl. Instrum. Meth. A 559 (2006) 246 [INSPIRE].
A. Karneyeu, L. Mijovic, S. Prestel and P.Z. Skands, MCPLOTS: a particle physics resource based on volunteer computing, Eur. Phys. J. C 74 (2014) 2714 [arXiv:1306.3436] [INSPIRE].
STAR collaboration, J. Adams et al., Identified hadron spectra at large transverse momentum in p + p and d + Au collisions at \( \sqrt{s_{\mathrm{NN}}} \) = 200 GeV, Phys. Lett. B 637 (2006) 161 [nucl-ex/0601033] [INSPIRE].
K. Werner, B. Guiot, I. Karpenko and T. Pierog, A unified description of the reaction dynamics from pp to pA to AA collisions, Nucl. Phys. A 931 (2014) 83 [arXiv:1411.1048] [INSPIRE].
N. Armesto et al., Heavy ion collisions at the LHC — last call for predictions, J. Phys. G 35 (2008) 054001 [arXiv:0711.0974] [INSPIRE].
A. Ortiz Velasquez, P. Christiansen, E. Cuautle Flores, I. Maldonado Cervantes and G. Paić, Color reconnection and flowlike patterns in pp collisions, Phys. Rev. Lett. 111 (2013) 042001 [arXiv:1303.6326] [INSPIRE].
ALICE collaboration, Production of charged pions, kaons and protons at large transverse momenta in pp and Pb-Pb collisions at \( \sqrt{s_{\mathrm{NN}}} \) = 2.76 TeV, Phys. Lett. B 736 (2014) 196 [arXiv:1401.1250] [INSPIRE].
R. Engel and J. Ranft, Hadronic photon-photon interactions at high-energies, Phys. Rev. D 54 (1996) 4244 [hep-ph/9509373] [INSPIRE].
J.M. Butterworth, J.R. Forshaw and M.H. Seymour, Multiparton interactions in photoproduction at HERA, Z. Phys. C 72 (1996) 637 [hep-ph/9601371] [INSPIRE].
V.S. Fadin and L.N. Lipatov, BFKL pomeron in the next-to-leading approximation, Phys. Lett. B 429 (1998) 127 [hep-ph/9802290] [INSPIRE].
M. Ciafaloni and G. Camici, Energy scale(s) and next-to-leading BFKL equation, Phys. Lett. B 430 (1998) 349 [hep-ph/9803389] [INSPIRE].
G.P. Salam, An introduction to leading and next-to-leading BFKL, Acta Phys. Polon. B 30 (1999) 3679 [hep-ph/9910492] [INSPIRE].
J. Kwiecinski, A.D. Martin and P.J. Sutton, Constraints on gluon evolution at small x, Z. Phys. C 71 (1996) 585 [hep-ph/9602320] [INSPIRE].
B. Andersson, G. Gustafson and J. Samuelsson, The linked dipole chain model for DIS, Nucl. Phys. B 467 (1996) 443 [INSPIRE].
I. Balitsky, Operator expansion for high-energy scattering, Nucl. Phys. B 463 (1996) 99 [hep-ph/9509348] [INSPIRE].
Y.V. Kovchegov, Small-x F 2 structure function of a nucleus including multiple pomeron exchanges, Phys. Rev. D 60 (1999) 034008 [hep-ph/9901281] [INSPIRE].
A. Buckley et al., Rivet user manual, Comput. Phys. Commun. 184 (2013) 2803 [arXiv:1003.0694] [INSPIRE].
A. Buckley, H. Hoeth, H. Lacker, H. Schulz and J.E. von Seggern, Systematic event generator tuning for the LHC, Eur. Phys. J. C 65 (2010) 331 [arXiv:0907.2973] [INSPIRE].
DELPHI collaboration, P. Abreu et al., Tuning and test of fragmentation models based on identified particles and precision event shape data, Z. Phys. C 73 (1996) 11 [INSPIRE].
ATLAS collaboration, Charged-particle multiplicities in pp interactions measured with the ATLAS detector at the LHC, New J. Phys. 13 (2011) 053033 [arXiv:1012.5104] [INSPIRE].
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ArXiv ePrint: 1412.6259
Work supported in part by the MCnetITN FP7 Marie Curie Initial Training Network, contract PITNGA-2012-315877, the Swedish Research Council (contracts 621-2012-2283 and 621-2013-4287), and contract DE-AC05-06OR23177 under which the Jefferson Science Associates, LLC operates the Thomas Jefferson National Accelerator Facility.
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Bierlich, C., Gustafson, G., Lönnblad, L. et al. Effects of overlapping strings in pp collisions. J. High Energ. Phys. 2015, 148 (2015). https://doi.org/10.1007/JHEP03(2015)148
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DOI: https://doi.org/10.1007/JHEP03(2015)148