GLOBAL POLARIZATION OF QUARKSINNON-CENTRAL A+A COLLISIONSAT HIGH ENERGIES高建华Based on: LiangZuo-tangand WangXin-Nian,Phys.Rev.Lett.94, 102301 (2005)Gao Jian-huaand LiangZuo-tang,inpreparation1
GLOBAL POLARIZATION OF QUARKS IN NON-CENTRAL A+A COLLISIONS AT HIGH ENERGIES 高建华 Based on: Liang Zuo-tang and Wang Xin-Nian, Phys. Rev. Lett. 94, 102301 (2005); Gao Jian-hua and Liang Zuo-tang , in preparation 1
OutlineIntroduction Calculation with static potential model Calculation with HTL gluon propagator Comparison between the two methodsSummary2
Outline ◼ Introduction ◼ Calculation with static potential model ◼ Calculation with HTL gluon propagator ◼ Comparison between the two methods ◼ Summary 2
3Global Orbital Angular MomentumHuge orbital angular momentum of the colliding systemin non-central heavy ion collisionsLThereaction plane:nb = × b/p× blXb
Global Orbital Angular Momentum The reaction plane: 𝑛𝑏 = 𝑝 Ԧ × 𝑏/ 𝑝 Ԧ × 𝑏 Huge orbital angular momentum of the colliding system in non-central heavy ion collisions Y 𝑏 𝐿 3
Collective Longitudinal Momentump(x,b):Collective longitudinal momentum perproduced partonod ounAXAu+Auat200AGevyo0.8E0.6(q"x)d1.Z0.41.08.60.2b/R,=0.2000.50.250.75x/(R-b/2)Po = Vs/2 c(s)c(s): numberof partons per NN collision
Collective Longitudinal Momentum 𝑝(𝑥, 𝑏): Au+Au at 200A Gev Collective longitudinal momentum per produced parton 𝑝0 = 𝑠Τ2 𝑐(𝑠) c(s): number of partons per NN collision 4
5Local Orbital Angular MomentumXyoGiven : Vs = 200Gev,c(s)~45, Ra = 6.5fm, b = Ra at RHICL~ - 1.7
Local Orbital Angular Momentum 𝐿~ − 1.7𝑦̰ Ԧ Given : 𝑠 = 200Gev, 𝑐(𝑠)~45, 𝑅𝐴 = 6.5fm, 𝑏 = 𝑅𝐴 at RHIC 5