Rdge Worksho, INT, My 7-, 0 Novel Bose-Ese Ierferece he Pssge of Je Dese Medu Cheuk-Y Wog Ok Rdge Nol Lborory Our focus: recols of edu ros fer je collso Poel odel versus Fey lude roch Bose-Ese erferece of Fey ludes Sgures d evdece for Bose-Ese erferece Rdge s evdece for Bose-Ese erferece Coclusos C.Y.Wog, rv:.09( C.Y.Wog, Phy.Rev.C76,054908( 07 C.Y.Wog, ChesePhys.Le.5,3936( 08 C.Y.Wog, J.Phys.G35,04085( 08 C.Y.Wog, Phys. Rev.C78,064905( 08 C.Y.Wog, Phys. Rev.C80,034908( 09 C.Y.Wog, Phys. Rev.C80,05497( 09 C.Y.Wog, Phys.Rev.C84,0490(
Logudl recols of edu ros fer je collso? Poel odel: (Gluber 58; Gyulssy+Wg, 94, ( Medu ros re rereseed by sc oels he edu. No edu ro recols he lowes order. ( Medu ro logudl recols re correced fer je collso z = je - je cos θ = je θ / = T / je ( Medu ro logudl recols re o deede vrbles. Poel odel s good for us-elsc je-edu collsos
Fey lude roch for geerl je-edu collso We would lke o ob he dsrbuo of edu ro logudl recols for geerl collso We eed o gve u he oel odel d o do he Fey lude roch The se ses of l d fl ses c be coeced by dffere Fey ludes. These ludes erfere. We eed o dsgush cohere d cohere collsos. C.Y.Wog, Rdge Worksho 3
Cohere d cohere collsos A wo-body collso bewee je d edu ro s chrcerzed by logudl oeu rsfer z : z = T / je, d coherece legh ( he edu fre Δz coh = ћ / z = ћ je / T. The coherece legh c be cosdered s he logudl legh over whch he wo-body collso kes lce, wh he echge of gluo. If Δz coh «λ, je-edu collsos re cohere. If Δz coh» λ, je-edu collsos re cohere. C.Y.Wog, Rdge Worksho 4
Icohere collsos λ >> Δz coh = ћ z / T Oe collso s fshed before oher collso begs. Collsos re lke clsscl errcle cscde. Ech wo-body collso leds o logudl oeu rsfer z = T / z (je 5
Cohere collsos λ << Δz coh = ћ z (je / T Oe collso s o fshed before oher collso begs. The cde je collde wh scerers s fc sgle collso u (+-body collso. Dffere Fey ludes corbue o he se rocess d he ludes erfere. Logudl oeu c flow fro he je o he scerers. The scerers c cure subsl frcos of je z. 6
Je & edu collsos RHIC d LHC Mje z ~ 0 GeV T ~ 0.4 GeV Δz coh = ћ z / T ~ 5 f Δz coh >> R >> λ Je-(edu ro ulle collsos RHIC d LHC re cohere collsos C.Y.Wog, Rdge Worksho 7
Cohere collsos λ << Δz coh (II Δz coh = ћ z / T λ Ele: Becuse of Bose-Ese syery, he Fey scerg ludes fro syerzed orderg of verces erfere. The effec of he erferece s he collecve recols of he scerers log he je dreco. C.Y.Wog, Rdge Worksho 8
Bose-Ese erferece cohere collsos Hug Cheg & T-Tsu Wu (969 Ch-Sg L & Ke-Fe Lu (997 BE syery he erchge of he vrul boso verces led o rerkble erferece of he Fey ludes r We cosder he hgh - eergy l : >> We cosder he scered rcle ' o be o ss shell : The su of! syerzed Fey ludes s M δ ( ', ( ' δ ( δ ( δ (... δ ( 3 = 9
0 Bose-Ese erferece for je collsos wh edu ros + + + + + + = = >> = for gluo scerers ' for fero scerers ' ' ' ~ ~ ( ' ( verces s Fey ludes wh syerzed erchges of! The su of ( o be o ss shell : ' We cosder he scered rcle, We cosder he hgh - eergy l : 0 0 0 0 M ' δ δ r CYWog rv:.09(0
3 4 3 4 3 4 ( ( ~ ~ ' ( ( o gve he wo Fey ludes ccel rs of The rel 0 ( ' ( d he hgh - eergy l, s o he ss shell, ' Prcle ~ ~ ~ ~ g M M g M g M = + = = = δ δ δ ε ε Ele:
Coseueces of he Bose-Ese erferece 0 for gluo scerers / ( cosh /...,..,, ( for fero scerers,..,, (... (,..,, (...... re dsrbued ccordg o / d Therefore,... ( ~ ( Cross seco s gve by Boso rogor 0 0 ( 4 4 4 0 0 0 0 0 0 4 0 0 0 0 f f f d d d d d d d d d d gt je je gt z z T T T T T T z z T z T T T T z z T T z T T z z < = = = = = = = δ σ δ σ δ r r r r r r r r r r
Sgures of he Bose-Ese erferece d r T dσ r T d r T r T f (,,.., f (,,.., collecve recols of edu scerers log he je dreco Sgure I: Sgure II: 4 4... d r r T 4 T... d d... d z ~ z (je / Sgure III: I s uu -body effec wh hreshold = f (,,.., δ (... = = cosh for fero scerers gt ( / je je / gt ' z for gluo scerers z C.Y.Wog, Rdge Worksho 3
Collecve recols of edu ros kcked by he je Je frges rdge. Je frges (Δφ, Δη ~ 0. Medu ros re rdge rcles 3. Rdge dsrbuo erly fl Δη Δφ Δη he fl dsrbuo Δη coes fro he oeu dsrbuo of edu ros, ror o he collso wh he je 4. Je d edu ros re correled wh Δφ ~ 0 collecve recols of edu ros log he je dreco, fer he ros re kcked by he je C.Y.Wog, Rdge Worksho 4
Schec cure of he reco he oeu kck odel C.Y.Wog, rv:.09( CMS d C.Y.Wog, Phy.Rev.C76,054908( 07 C.Y.Wog, ChesePhys.Le.5,3936( 08 C.Y.Wog, J.Phys.G35,04085( 08 C.Y.Wog, Phys. Rev.C78,064905( 08 C.Y.Wog, Phys. Rev.C80,034908( 09 C.Y.Wog, Phys. Rev.C80,05497( 09 C.Y.Wog, Phys.Rev.C84,0490( C.Y.Wog, Rdge Worksho 5
BE Sgure II: z versely roorol o? The rdge wdh Δφ deeres he gude of z The overll hegh of he rdge yeld. deeres he uber of kcked edu ros The she of he rdge log Δη deeres he dn/dη of edu ros z z z C.Y.Wog, Phy.Rev.C76,054908( 07 6
Moeu Kck Model ercs z,, dn/dyd T fro STAR d Cerl Au+Au s=00 GeV C.Y.Wog, Phys. Rev.C78,064905( 08 z = GeV, ~ 6 D fro PRL95,530(05 & J. Phy. G34, S679 (07 C.Y.Wog, Rdge Worksho 7
Moeu kck odel gves he correc redco for PHOBOS z = GeV, ~ 6 C.Y.Wog, Rdge Worksho 8
Moeu Kck Model ercs z,, dn/dyd T fro PHENIX d C.Y.Wog, Phys. Rev.C80,034908( 09 rg ssoc Cerl Au+Au s=00 GeV z =0.8 GeV, ~ 6 C.Y.Wog, Rdge Worksho 9
For collsos 7 TeV z = GeV, ~.5, for N ~ 0 C.Y.Wog, Phys.Rev.C84,0490( 0
Why s he rdge os roe bewee <T<3 GeV/c? L = GeV/c L = GeV/c C.Y.Wog, Rdge Worksho
< z > d <> erced fro rdge d The rdy dsrbuo dn/dy of erly ros hs leu srucure For he os cerl AuAu s / =00 GeV, < z >~0.8-.0 GeV, <uber of kck edu ros, > ~ 6.0 3. For he os elsc s / =7 TeV < z >~.0 GeV, <> ~.5 z s roely versely roorol o C.Y.Wog, Rdge Worksho
BE Sgure III: Threshold =? [Nuber of je-(edu ro collsos] deeds o cerly We eed o serch wheher here s rd chge of he Δφ~0 rdge yeld s fuco of cerly C.Y.Wog, Rdge Worksho 3
BE Sgure III: Threshold =? C.Y.Wog, Rdge Worksho 4
BE Sgure III: Threshold =? 5
Where s he hreshold =? Threshold = C.Y.Wog, Rdge Worksho 6
BE Sgure III: Threshold =? Threshold =? C.Y.Wog, Rdge Worksho 7
BE Sgure III: Threshold =? C.Y.Wog, Rdge Worksho Threshold =? 8
roo-roo 00 GeV Au-Au d 84-93% Δρ There s rso of he se-sde low rdge 74-84% Alyzed.M bs 00 GeV Au+Au eves; cluded ll rcks wh > 0.5 GeV/c, η <, full φ oe: 38-46% o show 64-74% 55-64% 46-55% ρ ref φ Δ 8-38% η Δ 8-8% 9-8% 5-9% 0-5% Δρ ρ ref STAR Prelry φ Δ η Δ Fro M. Dughery s Ph.D Thess (008 C.Y.Wog, Rdge Worksho 9
BE Sgure III: Threshold =? C.Y.Wog, Rdge Worksho 30
Coclusos The Bose-Ese erferece s uu ybody effec whch occurs whe fs rcle colldes coherely wh y rge rcles dese edu The Bose-Ese erferece leds o he collecve recols of scerers log he je dreco The Bose-Ese erferece y hve bee observed gulr correlos of roduced hdros RHIC d LHC: (I collecve recols log he je dreco (II relo bewee z d (III hreshold = C.Y.Wog, Rdge Worksho 3
Bcku sldes
The oeu dsrbuo for hgh T rggger cosss of wo cooes N rg dn ch dδη dδφ d ol f N N R k k = f s R d f JF 3 he N deeds k df dδη dδφ uber of re he survvl kcked d o c reer rdge fcor due + f JF edu ros o fl dn dδη dδφ er se je frge je d erco s. je frge df dη dφ d rdge = df dy dφ d E r E = r f r e L je cosh y C.Y.Wog, Rdge Worksho 33
Il ro oeu dsrbuo We rerze he she of df dy dφ d = A ( he l ro dsrbuo by e { ( } - + / T d + MP = = The reers re :, T ( 0 + z ( + MP 0 ro z df dy dφ d ro re d B b = y dy dφ be A s orlzo cos such h, = ; π = y + e{ y y } d C.Y.Wog, Rdge Worksho 34 = B