1. E.C. AschenauerEIC INT Program, Seattle 20101

2. 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): 1.4 10 34 * 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 * 604800(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

3. x-Q 2 reach E.C. Aschenauer EIC INT Program, Seattle 20103 Kinematic Coverage

4. 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

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

6. Kinematics of semi-inclusive hadrons E.C. Aschenauer EIC INT Program, Seattle 20106 4x1004x2504x50 momentum (GeV) no cuts: hadrons go more and more forward with increasing asymmetry in beam energies

7. Hadron kinematics E.C. Aschenauer EIC INT Program, Seattle 20107 cuts: Q2 > 0.1 GeV && y 0.1 GeV && y < 0.9 GeV

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

9. Kinematics of elastic diffraction E.C. Aschenauer EIC INT Program, Seattle 20109 4x250 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

10. Diffractive Physics: p’ kinematics E.C. Aschenauer EIC INT Program, Seattle 201010 4 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 )

11.  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 201011 and Summary