## Recoil Detection Efficiency of the FMA

**You specify:**

- The projectile Zproj, Aproj, and target Ztar, Atar
- The target thickness (mg/cm2)
- The beam energy (MeV)
- The number of protons, neutrons, and alphas evaporated by the compound nucleus
- The average energy at which they are evaporated (MeV)
- The distance from the target to the FMA (cm)
- The diameter of the FMA aperture (cm)
- The minimum and maximum charge states that the FMA will detect, Qmin and Qmax

**The program will simulate 10,000 individual reactions and return:**

- The half angle for the recoil. (Half of the recoil nuclei are emitted with angles smaller than the half angle.) Half angles are calculated for:
- only particle evaporation of the recoil
- only angular straggling of the recoil in the target1
- the combined effect of particle evaporation and angular straggling

- Full-width-half-maximum for:
- Recoil energy distribution due only to energy straggling
- Recoil energy distribution due only to particle evaporation
- Recoil energy distribution due to energy straggling and particle evaporation combined

- Full-width-half-maximum for charge distribution.

- The efficiency of the FMA for the following:
- Recoil angle (gives a percentage of the recoils with angles less than the maximum detectable angle) for:
- particle evaporation
- angular straggling in the target
- final recoil angle due to both effects
- energy acceptance of the FMA (±20% of the average recoil energy) for:
- Only energy straggling
- Only particle evaporation
- Energy straggling and particle evaporation
- charge state distribution (detects recoils between Qmin and Qmax)
- total efficiency for all of the effects combined

*References:*

1. J.S. Dionisio, et al.,

__Nuclear Instruments and Methods in Physics Research__A282 (1989) 10.

2. V.S. Nikolaev & I.S.Dmetriev,

__Physics Letters__. A28 (1968) 277.

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