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Photoproduction at proton and ion colliders Photoproduction at hadron colliders Photonuclear and interactions Physics from Photoproduction Unique Possibilities RHIC & Tevatron results Future Prospects: the LHC & RHIC LHC is the highest energy p collider in the world Conclusions Spencer Klein, LBNL & UC Berkeley 0 photoproduction in STAR
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Photons from Hadrons n Relativistic hadrons carry strong electromagnetic fields u Weizsacker-Wiliams: a field of almost-real photons F Virtuality Q 2 < (h/R A ) 2 Q 2 0 significant for e + e - production, and (maybe) with proton beams Photon E max ~ h/R A u 3 GeV with gold at RHIC u 80 GeV with lead at the LHC u ~10%+ of proton energy at both machines n Photon flux ~ Z 2 u Higher intensity with heavy ions F Important for considering multiple interactions between a single ion pair u RHIC & LHC have higher luminosities for light ions --> often better overall rates F “Optimum” ion depends on the problem Au Coupling ~ form factor , P, or meson X
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Photonuclear Interactions Photon coupling Z 2 ~ 0.6 for heavy ions u Multi-photon reactions common -gluon/Pomeron/meson interactions -Pomeron/meson can be coherent u Exclusive final states u Coupling ~ A 2 (bulk) A 4/3 (surface) u Large cross-sections for vector meson production n Require b > 2R A u no hadronic interactions u ~ 20-60 fermi at RHIC n Cross sections are huge ~ 5 barns for coherent 0 production with lead at the LHC u Need plots Au Coupling ~ form factor Au X P/gluons/meson
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interactions Rate ~ ~ Z 4 u Rates to produce hadrons are much smaller than for photoproduction of vector mesons n Prolific production of e + e - pairs = 200,000 barns with lead at the LHC u QED process --> proposed as luminosity monitor. u Coulomb corrections are significant n W max ~ 2 k max u 6 GeV with gold at RHIC u 160 GeV with lead at the LHC u Higher for lighter ions Au X Luminosity
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Unique Possibilities at hadron colliders n Highly charged photon emitters u Multi-photon interactions F Impact parameter tagging n Symmetric initial state u Quantum interference n Ion interactions u Pair production with capture
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Factorization n Multiple photons are emitted independently (Gupta, 1950) n To lowest order, interactions are independent u (neglecting quantum correlations) True for + nuclear breakup with heavy ions Seems to work well for e + e - and 0 at RHIC u Cf. Yuri Gorbunov’s talk Au P Au* 00 G. Baur et al, Nucl. Phys. A729, 787 (2003)
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Impact Parameter Tagging n Nuclear excitation ‘tag’s small b n Multiple photon exchange u Mutual Coulomb excitation n Au* decay via neutron emission u Detected in zero degree calorimeters u simple, unbiased trigger n Multiple Interactions probable P( 0, b=2R) ~ 1% at RHIC u P(2EXC, b=2R) ~ 30% n Non-factorizable diagrams are small for AA Au P Au* (1+) 00
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Tagged Photon Spectra n Single photon exchange (low energy limit) N( ) ~ 1/k u The presence of additional tagging photons biases the collision toward small b n For single tagging (2-photon exchange) N( ) ~ independent of k G. Baur et al, Nucl. Phys. A729, 787 (2003) k (GeV) N(k) Photon spectra at RHIC
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Strong Coupling/ Multiple Interactions Z 2 ~ 0.6 with gold/lead u ‘Extra’ photons are cheap n Higher order diagrams could be important n Multi-photon reactions are important u They factorize n Mutual Coulomb excitation of colliding nuclei is a useful tag u Simple experimental trigger u Selects events with small impact parameters Au P Au* 00
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Zero Degree Calorimeters & Luminosity measurement n Mutual Coulomb dissociation is used as to monitor luminosity u Calculable in QED F Accuracy limited by uncertainty in hadronic interaction radius n Require 1 neutron in each ZDC (& no activity in central detector) u via Giant Dipole Resonance PHENIX used dA( ) --> pnA to monitor *luminosity -->l + l - proposed at LHC u Uncertainty in hadronic interaction radius limits accuracy
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e + e - production w/ STAR n With Coulomb excitation in 200 GeV gold-on-gold collisions u 52 events F M ee > 140 MeV/c 2, |Y ee |< 1 n Equivalent photon method fails for pair p T spectrum u Photon virtuality is important n Cross-section is consistent with all-orders QED calculation u ~ Inconsistent with lowest order calculation F ~ 30% higher than all-orders in STAR acceptance Pair p T Lepton p T Points data Solid line – LO calc Dashed – all orders STAR data, calcs by A. Baltz PRL 100, 062302 (2007)
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e + e - production in CDF n 1.8 TeV pp collisions n 16 events with M ee > 10 GeV n Fits theoretical calculations u LPAIR n Proposed e + e - pairs as a luminosity monitor at the LHC u QED is well understood u Problem: what is the effective b min, at which there are no hadronic interactions? CDF, PRL 98,112001 (2007)
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STAR - 0 Photoproduction Exclusive 0 triggered w/ ‘Topology’ trigger 0 -with mutual Coulomb excitation triggered with ZDC coincidence n Select events with 2 primary tracks u + some ‘global’ tracks Au 00 qq STAR, Phys. Rev. C77, 34910 (2008)
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0 Photoproduction Mass Spectra n Coherent production events u p T < ~ 150 MeV/c M fit to 0 + direct + - spectrum u w/ interference term u Relativistic Breit-Wigner w/ phase space 0 :direct + - ratio same as p @ HERA Exclusive 0 0 + Mutual Coulomb Excitation 0 0 : interference Gray -background STAR, Phys. Rev. C77, 34910 (2008)
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0 rapidity distribution 0 w/ mutual Coulomb excitation n Photon energy u k = M v /2 exp(y) u 2-fold directional ambiguity leads to symmetric distributions Cross-section depends on qq-N, which depends on the hadronic model u Saturation models of Goncalves & Machado is ruled out A-> A (k) can be determined by combining exclusive and w/ mutual Coulomb excitation u Errors are large S T A RS T A R STAR, Phys. Rev. C77, 34910 (2008)
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0 p T spectra n Coherent + Incoherent form factors u Fit to dual exponential n Incoherent production u b N = 8.8 ±1.0 GeV -2 F nucleon form factor n Coherent production u b Au = 388.4 ±24.8 GeV -2 F b Au ~ R A 2 F Data sensitive to R A F Measure hadronic radius of gold 3% statistical uncertainty Significant theoretical corrections/uncertainty (incoh)/ (coh) ~ 0.29 ±0.03 u Extrapolated form factor to t=0 S T A RS T A R p T 2 ~ t STAR, Phys. Rev. C77, 34910 (2008)
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Polarized Photons n Electric fields parallel to b u photon polarization follows b n Use 1 reaction to determine the polarization, to study a 2nd reaction n Correlated Decay angles Use -- > + - as ‘analyzer + - decay plane often parallels photon pol. u reasonable analyzing power Study VM production angles, single spin A asymmetries, etc. b,E (transverse view) ++ --
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Interference n 2 indistinguishable possibilities u Interference!! n Similar to pp bremsstrahlung u no dipole moment, so u no dipole radiation n 2-source interferometer u separation b , , , J/ are J PC = 1 - - n Amplitudes have opposite signs ~ |A 1 - A 2 e ip·b | 2 n b is unknown u For p T F destructive interference No Interference Interference p T (GeV/c) y=0
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Entangled Waveforms n VM are short lived u decay before traveling distance b n Decay points are separated in space-time F no interference u OR F the wave functions retain amplitudes for all possible decays, long after the decay occurs n Non-local wave function non-factorizable: + - + - n Example of the Einstein-Podolsky-Rosen paradox e+e+ e-e- J/ ++ -- b (transverse view) ++
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Einstein-Podolsky-Rosen paradox For each + from decay, can choose to measure x or p u Both x - localize production point (sometimes) u Both p - measure p of VM; see interference; delocalize production The + - system is an example of the Einstein- Podolsky-Rosen paradox n (Gedanken) test for superluminal collapse b -- ++ ++ X/p meas. Klein & Nystrand, 2003 00 00
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Interference and Nuclear Excitation n Smaller --> interference at higher u Suppression for p T 0 prod at RHIC: 0.1 < |y| < 0.6 Noint ~ exp(-bt) Int. Noint ~ exp(-bt) Int. t XnXn No breakup criteria t dN/dt
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Interference Analysis ‘topology’ (multiplicity+) trigger for exclusive 0, n Neutrons in both ZDCs trigger for mutual Coulomb excitation. Tight cuts -- > clean 0, but lower efficiency u Exactly 2 tracks u 1 vertex with Q=0 0.55 & GeV<M <0.92 GeV n Fit dN/dt spectrum u Require accurate dN/dt w/o interference u Efficiency is ~ independent of t F Momentum smearing affects two low-t bins Included in Monte Carlo n Interference is maximal at y=0, decreasing as |y| rises u 2 rapidity bins 0/0.05 < |y| < 0.5 & 0.5<|y|<1.0
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0 p T spectrum in UPCs n Scattering (Pomeron) p T u Modified nucleon form factor F Glauber calculation for absorption F position-dependent photon flux n Photon p T u Weizsacker-Williams + form factor n Add components in quadrature n w/o interference dN/dt ~ exp(-bt) u b = x * R A 2 F STAR simulations F Woods-Saxon + Glauber calculation (H. Alvensleben et al., 1970) u Modifications change x n Interference u Only cause for dN/dt -->0 at small t Woods-Saxon Form Factor
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n 2 Monte Carlo samples: u Interference u No interference u w/ detector simulation F Detector Effects Small n Data matches Int n Inconsistent with Noint n Interference clearly observed n 973 events n Fit to dN/dt = A exp(-kt)* [1+c(R(t)-1)] u Exponential for nuclear form factor u R = Int(t)/NoInt(t) u Separates nuclear form factor (exponential) & interference Analysis Technique dN/dt (a.u.) Data (w/ fit) Noint Int LS Background STAR Preliminary t R = Int(t)/Noint(t) t (GeV 2 ) = p T 2 dN/dt for XnXn, 0.1<|y|<0.6
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Results n Efficiency corrected spectra n Two rapidity bins, 2 triggers u Cut |y|<0.05 for topology to remove cosmic rays
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Results 2 /DOF > 1 for 2 samples u Much study, no answers… Scale errors up by 2 /DOF (PDG prescription) n Systematic errors due to trigger (10% for topology), other detector effects (4%), background (1%), fitting & nuclear radius(4%), theoretical issues (5%) Final, combined result: c=0.87 ± 0.05 (stat.) ± 8 (syst.) % u Limit on decoherence, due to decay or other factors < 23% at a 90% confidence level
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k values n photon flux ~ 1/b 2 P(b) ~ N (b) (b) n For b ~ few R A, production is asymmetric u Smaller apparent size Small change in (tot) n ~ 3 R A for minimum bias data n F(t) is Fourier transform of production density u Parameter b ~ (diameter) 2 n Affects the interference pattern u Impact parameter b eff < b geom u Neglected here N (b) ~ 1/(b-R A ) 2 N (b) ~ 1/b 2 N (b) ~ 1/(b+R A ) 2 Au Woods-Saxon (b) WS weighted by 1/b 2 b (fm) P(b) = (b)N (b) A linear (toy) model
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n Photon is almost always emitted by gold No two-fold ambiguity--> easy extraction d --> d , pn 0 both seen n Deuteron dissociation tagged by neutron in Zero Degree calorimeter u Allows cleaner trigger n Coherent reaction has larger t-slope n Incoherent process reduced at small t u Not enough momentum transfer for dissociation 0 photoproduction in deuteron-gold interactions Neutron-tagged data t, GeV 2 S T A RS T A R
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Photoproduction of Expected to be largely through a radially excited and/or n Peak at low p T from coherent enhancement n Studies of resonant substructure are in progress STAR preliminary M (GeV) p T (GeV/c) S T A RS T A R B. Grube, Wkshp. on HE Photon Collisions at the LHC S T A RS T A R
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J/ photoproduction at RHIC n e + e - pair + 1 nucleus breakup u Nuclear breakup needed for trigger J/ + continuum --> e + e - u ~ 12 events in peak Cross sections for both J/ and continuum e + e - ~ as expected D’Enterria, PHENIX, nucl-ex/0601001
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J/ photoproduction at the Tevatron CDF selects exclusive J/ photoproduction is sensitive to gluon structure of nuclei ~ |g(x,M V 2 /4)| 2 334 exclusive + - signal events. u “Background” from double Pomeron production c --> J/ Some ’ n Cross section determination in progress M( ) (GeV/c 2 ) J. Pinfold, Wkshp. on HE Photon Collisions at the LHC
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UPCs at the LHC n CMS, ALICE and ATLAS plan programs n “Yellow Book” gives physics case u K. Hencken et al., Phys. Rept. 458, 1 (2008). n Gluon structure Functions at low-x u Including saturation tests n The ‘black disc’ regime of QCD n Search for exotica/new physics --> Higgs, Magnetic monoples, etc. n Some techniques, and some final states overlap with pp diffraction (double-Pomeron) studies u Roman pots can be used for full kinematic reconstruction in pp t_perp can help separate , P and PP interactions
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Structure Functions at the LHC n Many photoproduction reactions probe structure functions --> qq; the quarks interact with target gluons u Q 2 ~ (M final state /2) 2 u x ~ 10 -4 at midrapidity u x ~ 10 -6 in forward regions J/ , ’, states n Open charm/bottom/top? n Dijets The twofold ambiguity can be avoided using pA collisions or by comparing d /dy with and w/o mutual Coulomb excitation
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J/ photoproduction ~ g(x,Q 2 ) 2 x ~ few 10 -4 for J/ @ the LHC x ~ few 10 -2 for J/ @ RHIC u Q 2 ~ M v 2 /4 n Coherent production u p T < h/R A n High rates u 3.2 Hz production with Pb n Detection is easy n Shadowing is ~ factor of several Theoretical uncertainties cancel in (pp)/ (AA) or (pA) M. Strikman, F. Strikman and M. Zhalov, PL B540, 220 (2002) y y
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Dijets n With calorimetery to |y|<3, probe down to x~10 -4 in 1 month n Use standard jet triggers Rate/bin/month @ L=4*10 26 /cm 2 /s M. Strikman, R. Vogt and S. White, PRL86, 082001 (2006)
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“Black Disk” Regime n At high enough energies/low enough x, nuclei look like black (absorptive) disks u Studies of HERA data suggest that the Black Disk Regime (BDR) should be visible at the LHC for Q 2 < 4 GeV 2 n Photons fluctuate to qq dipoles, with separation d dipole-target ~ d 2 F Smaller and smaller dipoles interact Photons contain many small dipoles --> increasing number of interactions --> tot ( p) rises rapidly u Increase in high p T interactions u Fraction of diffractive events increases M. Strikman
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e + e - pairs at the LHC ~ 200,00 barns with Pb beams u Significant background for small-radius detectors (also @RHIC) u 20 pairs/beam crossing (at 10 27 /cm 2 /s & 100 nsec crossing) n e +, e - have small p T (typically m e ) u Hard to trigger n ALICE strategy – random events u Expect ~ MHz rates in inner detectors u Measure cross-section, M ee, p T spectra, etc. n Multiple pairs likely from 1 collision
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LHC – Plans & Issues J/ , ’, --> leptons is relatively easy u CMS, ALICE, ATLAS are pursuing n Di-jets u ATLAS is pursuing n Triggering is problematic u Beam gas, neutrons, grazing hadronic collisions... even cosmic ray muons u ZDC coincidences might help with backgrounds F Not always available at Level 0 n FP420, TOTEM & other forward detectors Use tagging to select --> Higgs, sleptons…
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Bound Free Pair Production n A + A --> A + Ae - + e + u 1e - atom has lower Z/A F Less bending in dipoles u Momentum ~ unchanged --> beam ~ 280 barns w/ lead at the LHC L u 280,000 ions/s at L = 10 27 /cm 2 /s F 28 watts! u Hits beampipe ~ 136 m from the IP F Enough energy to quench superconducting magnets? n Limits LHC luminosity w/ heavy ions u Limit is ~ planned luminosity F Quench calculations are touchy IP Pb 82+ Pb 81+ SK, NIM A459, 51 (2001); R. Bruce et al. PRL 99, 144801 (2007)
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Observation of BFPP at RHIC n Copper beams at RHIC theory ~ 200 mb magnetic rigidity) ~ 1/29 F 1e Au defocuses before striking beampipe n 1e Cu beam hits beampipe ~ 144 m from interaction point n Look for showers using pre-existing PIN diodes u Small enough that acceptance simulations are problematic n Observe correlations between luminosity (measured at IP) and PIN diode rates R. Bruce et al. PRL 99, 144801 (2007)
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BFPP results Colors are PIN photodiode signals at different locations Blue is optimal location BFPP has been observed, with cross section ~ expected RHIC (ZDC) luminosity monitor
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Future Directions at RHIC n STAR “DAQ1000” increases data rate by a factor of 10 & TOF system improves particle identification u Substructure in 4-pion events 0 0 pairs n Roman pots for STAR u Mostly for pp diffraction, but might be able to measure scattered deuteron in dA collisions, improving UPC reconstruction F Phase I optimized for elastic scattering Requires special low- beam optics F Phase II has larger acceptance
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0 0 production 4 diagrams interfere Depends on p T sum and difference between two n Away from y=0, the top and bottom diagrams dominate u Stimulated emission at low p T u Possibility to look for stimulated decays Needs more luminosity, and background rejection from ’ decays, but looks possible
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Angular Correlations in 0 0 & mutual nuclear excitation to Giant Dipole Resonances n ~ any states decaying via a vector decay In linearly polarized 0 decays, the angle between the 0 polarization and the + / - p T (wrt the direction of motion) follows cos( + / - direction acts as an analyzer The 0 polarization follows the polarization The angle between the + / - p T in 0 0 decays is the convolution of the two cos( ) distributions C( ) = 1 + 1/2cos(2 ) n Possible way to study linear polarization Angle between + / - p T in double VM decays G. Baur et al.,Nucl. Phys. A729, 787 (2003)
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Conclusions n Many photoproduction reactions can be studied at hadron colliders. u STAR & PHENIX at RHIC, and CDF at the Tevatron have studied a variety of topics, including vector meson production and e + e - pair production. n Many unique reactions can be studied with heavy ion collisions. u Multiple interactions among a single ion pair. n Bound-free e + e - production will limit the LHC luminosity with lead. n The LHC and RHIC have promising future programs. Until the ILC is complete, the LHC will be the highest energy and p collider in the world.
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