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Nuclear -Radiation in Peripheral HIC at LHC V.L.Korotkikh, L.I. Sarycheva Moscow State University, Scobeltsyn Institute of Nuclear Physics CMS meeting, December 2001 Two photon physics in AA collisions Comparison * *, *A and AA in the peripheral processes, p T - cut - radiation of discrete nuclear levels Two-stage process of nuclear excitation Nuclear beam monitoring at LHC Conclusions ``
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* *-Luminosity for AA collisions at LHC Effective -Luminosity for AA at LHC, LEP200 and a future NLC/PLC with photons from laser backscattering G.Baur, K, Hencken, CMS Note, 2000.060; J.Phys.G24,1998 C.Bertulani, nucl-th/0104059, 2001
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Peripheral Heavy Ion Collisions (b > R A1 + R A2 ) Advantages: Large photon=photon energy in center mass system s ( ) < 300 GeV at LHC Large electromagnetic cross- section of particle production EM ~ Z 4 EM (PbPb) 200Kbarn EM (CaCa) 3Kbarn Small background from the strong AA interactions Program: Resonance production in * * -fusion a)Quark content, Г * * ~ Q 4, Q - quark charge, Gluebal is forbidden to first order b) Meson size, on threshold * r M r c)Expectation of Higgs meson production at small background from strong interactions Exotic meson production * + * Hybrids (q, anti q, gluon) * + Pomeron Hybrids, Glueball Pomeron + Pomeron Hybrids, Gluebal Lepton pair production * + * e e (control QED, unitarity) * + * Vector meson production * + * , * + * 0 + A
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First experimental Result of Peripheral - Meson Production S.Klein(STAR, RHIC, 130AGeV), nucl-ex/0108018 Au +Au X, Au +Au , X 2 tracks p T < 100 Mev Charge sum = 0 signal Charge sum 0 background One or more neutrons in ZDC 00 e+e
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Equivalent Photon Spectra Fig.1. Geometry of two photon interaction. Beam direction is perpendicular to the picture plane. b 1 and b 2 are the distances from the nuclear centers to the photon interaction points P.
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-Luminosity for PbPb collisions at LHC -Luminosity for PbPb with A =2950 as a function of rapidaty y( ) for different values of M q T dependence of equivalent photon spectrum for = 10 GeV. Solid line is for Gauissian form factor, dott line for point charge. Vertical line is for q T =1/R G. Baur et al. CMS NOTE,2000/060
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Production of a single meson in * * fusion R
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Resonance Cross-Sections in * * fusion at LHC Meson cross-sections for fusion in PbPb and CaCa collisions at LHC CaCa Resonance G. Baur et al. CMS NOTE,2000/060
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Three process of the resonance production in the peripheral AA collisions (b> R 1 + R 2 ) `` * * -fusion * A - photonuclear desintegration AA - strong interactions in grazing collisions Bertulani, Baur, 1985, 1988 Kraus, Grener, Soft, 1997 Baur, Hencken, 1997, 1998, 1999 Klein, Nystrans, 1999 Pshenichnov, Mishustin, 1999 RELDIS Anderson, Gustafson,Hong, FRITIOF (PbPb) 40 mbarn (PbPb) 200 barn (PbPb) 7 barn
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rapidaty distribution for PbPb collisions at LHC `` K.A.Chikin, V,L. Korotkikh, A.P.Krykov,L.I.Sarycheva, I.A.Pshenichnov, J.P.Bondorf, I.M.Mishustin. Eur.Phys.J.A8(2000)537 106 mbarn(incl), 36 mbarn(excl)
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Possible Signature of Peripheral AA collisions at LHC Our suggestion is to register the nuclear secondary ’ radiation of HI after interaction How to select the peripheral collisions? Use the correlation of b and multiplicity n Use the correlation of b and transverse total energy E t Register the intact nuclei after interaction A+A A+A+M Use the small p t of produced particles `` But (AA A*A) 0.1 mbarn
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Kinematics of the Secondary -radiation Dependence between the energy E and the polar of photon, emitted by the relativistic nucleus at LHC energy. Axis Z is along nuclear direction. The lines correspond to the discrete excited levels: Roman pots of TOTEM have 20 rad < ' < 150 rad Energy of '–radiation will be corresponded to the region 21 GeV < E ' < 26 GeV ``
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Nuclear -radiation and e + e production Huge cross-section: Pb Pb Pb Pb + e + e (220 Kbarn) Ca Ca Ca Ca + e + e (1.4 Kbarn) Baron, Baur. Phys. Rev. D46 (1992) R3695 Guclu et al. Phys. Rev. A51 (1995) 1836 Alscher et al. Phys. Rev. A55 (1997) 396 Properties of '-radiation Neutral radiation High energy E ' at LHC Narrow collimation of ' radiation But the direct excitation of nucleus has a small cross-section e + e production ``
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Two-step mechanism of nuclear excitation V.Korotkikh, K.Chikin Preprint INPH MSU 2001-1/641 nucl-th/0103018, in press 1. QED + Weizsacker-Williams 2. Ca + Ca a) L = (2 4)10 30 cm -2 sec -1 b) Well famous form factors of discrete levels 3. e + Ca e' + Ca ( P, E 0 ' ) Gulkarov. Fis. Elem. Chast. at Nucl 19 (1998) 345 Discrete levels of Ca Endt et al. NPA633 (1998) Ca + Ca Ca + Ca * ( P ) + e + e int = 5.1 barn ' + Ca ``
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Main Formulae for Two Stage model `` Energy spectrum of Angular distribution Cross-section of two stage Cross-section convolution of two process
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Energy and Angular Distributions of '-rays LHC, Ca + Ca Ca + Ca * (3 ) + e + e ' + Ca Energy distribution of secondary photons. Numbers 1, 2, …, 5 correspond to discrete levels of 40 Ca. Angular distribution of secondary photons for sum over all discrete levels E ' = 0÷26 GeV (main contribution) Uniform distribution ' rad ``
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Comparison of '-rays Distributions for Various Processes 1. Ca + Ca Ca + Ca * (3 ) + e + e 2. Ca + Ca Ca + Ca * (3 ) 3. Ca + Ca Ca + Ca + Energy distribution of secondary photons. Numbers 1, 2, 3 correspond to three processes. Angular distribution of secondary photons for three processes. ``
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`` pp and Pure electromagnetic processes EM (CaCa ) 3.0 barn
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Possibility of Nuclear Beam Monitoring at LHC by -radiation of Nuclei Recoil Large problem at LHC is a monitoring of nuclear beam luminosity What is necessary to solve the problem: Choice of a process for AA interaction Large cross-section of the process Effective detectors for registration of the process High accuracy of luminosity measurement ``
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Photon Registration Rate and Accuracy of Luminosity Monitoring Ca + Ca Ca + Ca * (3 ) + e + e ' + Ca int = 5 barn L = (2 4)10 30 cm -2 sec -1 ' = rad ' TOTEM LHC E ' = 25 GeV 4 radiation length Geom 0.35 L = dN /dt = 10 6 photon/sec t = 10 msec ``
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Conclusions Peripheral AA interactions are studied both theoretically and experimentally There are some good ways to select such kind of processes Two stage process A +A A* + A + e e , A* * + A has a large cross-section ( for CaCa ~ 5 barn) Nuclear * - radiation can be used for a)the signature of peripheral processes b)nuclear beam monitoring at LHC ``
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