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Luminosity energy scaling.

Luminosity energy scaling. V. Ptitsyn , A. Fedotov , V.N . Litvinenko December 02 , 2010. What is a dependence of a maximum luminosity on g ?. Luminosity optimization. Max angular spread (IR magnet aperture). Max x p (for given N e ). N p. Max D Q sp. Max luminosity.

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Luminosity energy scaling.

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  1. Luminosity energy scaling. V. Ptitsyn, A. Fedotov, V.N. Litvinenko December 02, 2010

  2. What is a dependence of a maximum luminosity on g ?

  3. Luminosity optimization Max angular spread (IR magnet aperture) Max xp (for given Ne) Np Max DQsp Max luminosity ep0, Np0 ep

  4. Luminosity behavior in combined space charge, beam-beam and electron current limit • Maximum luminosity scales with the proton energy as g3. • Parameter scaling for maximum luminosity (at fixed xp): enp =const, Np ~ g2 • One can go away from the beam-beam limit without losing the luminosity by keeping the ration Np/ep constant • If we can go beyond 50mA electron current the luminosity can be increased. The following rule: L -> nL => Ne -> nNe, Np->nNp, ep -> nep

  5. CME dependence of luminosity Assumed limits:Ie = 50 mA, xp =0.015, DQsp = 0.035 The value used in ELIC DQsp = 0.035: L > 1033 s-1 cm-2 CME > 51 GeV Ep > 130 GeV DQsp = 0.07: L > 1033 s-1 cm-2 CME > 46 GeV Ep > 106 GeV What should be a design value for DQsp ?

  6. Study plans for the luminosity at lower CME • Simulations are planned to explore the interplay of beam-beam and space charge effects for proton beam. That will help to better determine maximum DQsp. • Larger proton bunch length (combined with increased proton bunch intensity) can lead to the luminosity increase. We plan to explore this, together with the requirements on crab cavities.

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