Average Luminosities at HESR

Information condensed from https://panda.gsi.de/system/files/user_uploads/k.goetzen/IN-IDE-2015-002.pdf
The table shows the average luminosities for different HESR/RESR accelerator modes in units of [1/(nb·d)] for maximum target density n_t = 4·10¹⁵/cm².
Modes are:
- HL = High Luminosity mode (accumulation in RESR; rate R=2·10⁷/s; N_max=10¹¹ antiprotons)
- HR = High Resolution mode (accumulation in RESR; rate R=2·10⁷/s; N_max=10¹⁰ antiprotons)
- HESR = HESR mode (accumulation in HESR with beam dump after cycle; rate R=1·10⁷/s; N_max=10¹⁰ antiprotons)
- HESRr = HESR mode (accumulation in HESR recycling previous beam current; rate R=1·10⁷/s; N_max=10¹⁰ antiprotons)
Recommended for first day phyiscs are HESR(r) modes.
Target density roughly scales linearly for p>4 GeV/c: L(k·n_t) ≈ k·L(n_t).

Compute expected number of reactions/day → Multiply by cross section σ [nb].
Example: Daily production of a resonance at E_cm = 3.87 GeV (p = 7GeV/c), cross section σ = 50nb in HESRr is dN/dt = 50 nb · 1170/(nb·d) = 58500/d
Conversion factor to [1/(cm²·s)]: f = 1.157·10²⁸ (nb·d)/(cm²s)
Example: L_avg = 1170/(nb·d) = 1170 × 1.157·10²⁸/(cm²·s) = 1.35·10³¹/(cm²·s)