E.C. AschenauerEIC INT Program, Seattle 20101

New Design: for eRHIC with CEC: 20 x 325 with b* of 5cm: 1.4x10 34 cm -2 s -1 as the the luminosity does not depend on the energy of electron beam you can write it as for eRHIC (new design): * E p /325 cm -2 s -1 so you can easily scale it going to 20x100 for example so for eRHIC assuming 50% operations efficiency one week corresponds to 0.5 * (s in a week) * (1.4x10 34 cm -2 s -1 ) = 4*10 39 cm -1 so 4000pb -1 an operations efficiency of 50% is low, but conservative at this moment. For EIC systematic errors will be the limiting factor For EIC systematic errors will be the limiting factor i.e., g 1, F L,  g,  q i.e., g 1, F L,  g,  q E.C. Aschenauer EIC INT Program, Seattle 20102

x-Q 2 reach E.C. Aschenauer EIC INT Program, Seattle Kinematic Coverage

Kinematics of scat. electron Proton Energy 50 GeV 100 GeV 250 GeV Electron Energy 4 GeV 10 GeV 20 GeV 4 GeV 10 GeV 20 GeV E.C. Aschenauer EIC INT Program, Seattle 2010 scattered lepton goes to smaller angles for same Q 2 as √s increases 4 For any hadron beam energy Q 2 >0.1GeV 2 4GeV  >5 o 4GeV  >5 o 10GeV  >2 o 20GeV  >1 o

Q 2 -Rapidity for scattered lepton E.C. Aschenauer EIC INT Program, Seattle 20105

Kinematics of semi-inclusive hadrons E.C. Aschenauer EIC INT Program, Seattle x1004x2504x50 momentum (GeV) no cuts: hadrons go more and more forward with increasing asymmetry in beam energies

Hadron kinematics E.C. Aschenauer EIC INT Program, Seattle cuts: Q2 > 0.1 GeV && y 0.1 GeV && y < 0.9 GeV

Kinematics of lepton from charm E.C. Aschenauer EIC INT Program, Seattle 20108

Kinematics of elastic diffraction E.C. Aschenauer EIC INT Program, Seattle x250 4x100 4x50 no cuts: cuts: Q2 > 0.1 GeV && y 0.1 GeV && y < 0.9 GeV decay products of  & J/ ψ go more and more forward with increasing asymmetry in beam energies

Diffractive Physics: p’ kinematics E.C. Aschenauer EIC INT Program, Seattle x 100 t=(p 4 -p 2 ) 2 = 2[(m p in.m p out )-(E in E out - p z in p z out )] 4 x 50 4 x 250 ? Diffraction: p’ need “roman pots” to detect the protons and a ZDC for neutrons t=(p 3 –p 1 ) 2 = m ρ 2 -Q 2 - 2(E γ* E ρ -p x γ* p x ρ -p y γ* p y ρ -p z γ* p z ρ )

 Can do any kinematics plot needed  Is tagging charm a good way to measure TMDs for gluon  p t coverage in a collider is good  especially at high p t  especially for p t weighted asymmetries  PID coverage from -1<  <5  To Do  x-Q2 plots which show the count rates for one month eRHIC running at different √s E.C. Aschenauer EIC INT Program, Seattle and Summary