Relativity · Exact kernel
2-body collision
Gold check: for equal masses, θ_lab^max is exactly 90°, independent of beam kinetic energy. Use the Gold: 90° max preset. ρ>1 (heavy on light) is a kinematic cone; angles past θ_lab^max throw.
2-body collision
Beam particle 1 on fixed target 2. Algebraic θ* from tan θ_lab; illegal angles throw. Masses & KE in MeV (natural).
- √s (MeV)
- 1925.90
- Available KE in CM (MeV)
- 49.3511
- β (v/c) of CM
- 0.224930
- γ_CM
- 1.02630
- E₁* (MeV)
- 962.948
- E₂* (MeV)
- 962.948
- θ_lab max (kinematic)
- 90.00°
- ρ = β_CM / β₁*
- 1.00000
- Kinematic cone
- ρ=1 · θ_lab ≤ 90°
- θ* (unique)
- 61.30°
- E₁ lab (MeV)
- 1012.29
- E₂ lab (MeV)
- 964.258
Gold check: equal mass ⇒ θ_lab^max = 90° (independent of beam KE).
Closed-form or algebraic kernel. Throws rather than inventing a value. Not a substitute for your derivation. FrameCalc is an educational workbench. It is not for medical, nuclear-safety, radiation-protection, or engineering sign-off. Fusion and IEC estimates are models, not device predictions. Accuracy · Legal