dris the azimuthal angle of the reaction planebetweenreactionplaneand &xisPzIn theory, if the beam directionPxpImpact parameter vectorPx- PzreactionplaneisPTr = 0PpPTparticle azimuthal angle is just the angle spanned byrelative to axis6
𝜓𝑟 is the azimuthal angle of the reaction plane In theory, if the beam direction 𝑝𝑧 Impact parameter vector 𝑝𝑥 reaction plane is 𝑝𝑥 − 𝑝𝑧 between reaction plane and axis 𝑝𝑥 𝜓𝑟 = 0 particle azimuthal angle is just the angle spanned by relative to axis 𝜑 𝑝𝑇 𝑝𝑥 6
B, What we doDoubts about the method of averaging. We first make a transparent derivation startingfrom invariant particle multiplicity distributiond'Nd'Nd'pPrdydprdp, Transfer into cylindrical system, substituteDdy/dpz = 1/EBy y (rapidity), and useThenormalized particle multiplicity distribution isd3N1 E+pNevprdydprdpy=2n(-p.7
B, What we do ● Doubts about the method of averaging ? 3 3 3 T T d N d N E d p p dydp d = dy/dp𝑧 = 1/𝐸 𝑝𝑧 Transfer into cylindrical system, substitute by y (rapidity), and use The normalized particle multiplicity distribution is ● ● We first make a transparent derivation starting from invariant particle multiplicity distribution 1 ln( ) 2 z z E p y E p + = − 1 𝑁ev 𝑑 3𝑁 𝑝𝑇dydp𝑇𝑑𝜑 7