IN-IDE-2015-002

The purpose of this note is to provide information about the expected average luminosity $\bar{L}$ at PANDA. This is done
for various combinations of operation modes (High Luminosity/High Resolution modes using RESR, and the Modularised Start Version MSV 0-3, i.e. without the RESR, in two different scenarios), target densities $n_t$, and anti-proton
production rates $R$. The results are represented in graphical form as well as tables, from which event rates can easily be estimated
for given cross section values. The resultant numbers represent the nominal design values after the initial commissioning phase.

It turns out that for the High Luminosity (HL) mode in the full setup with RESR, an anti-proton production rate of $R=1\cdot 10^7$/s will be insufficient to continuously operate with $N=10^{11}$ anti-protons in the beam, and even a production rate of $R=2\cdot 10^7$/s delivers sub-optimal performance for beam momenta $p<5$ GeV/$c$. For the High Resolution (HR) mode using a beam with $N_{max}=10^{10}$ anti-protons, both production rates considered are sufficiently large.

The MSV scenarios without RESR both lead to significantly less performance concerning average luminosity numbers over the full anti-proton beam momentum range $1.5 < p < 15.0$ GeV/$c$. Compared to the numbers achieved in HR mode with the same number $N_{max} = 10^{10}$ of beam particles, the results are between 11\% and 42\% lower, depending on the beam momentum $p$, production rate $R$ and the operation mode.