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Group SECAR2.0

Reaction: ⁴⁵V(p,γ)⁴⁶Cr
Beam: ⁴⁵V¹³⁺ of 135 MeV (1% enegry spread)

Matrix:

R₁₁ = 1.0 is “Magnification”, i.e. no magnification provided with the dipole.
R₁₂ = 0.0 is “Focusing”, i.e. no focusing is provided by the dipole.
R₂₁ = 2.2 is approximate “Path length”,which is 0.5+0.78+1.0 meters
R₂₂ = 0.0 mean that output angles does not depend on input angles.
R₁₅ = -0.41 is ToF difference due to different initial position.
R₂₅ = -0.35 is ToF difference due to different initial angle.

Reaction summary for ⁴⁵V+p→γ+⁴⁶Cr, Ek(⁴⁵V)=135 MeV
The maximum γ energy is 8.481 MeV. The minimum γ energy is 7.249 MeV.
The maximum ⁴⁶Cr energy is 132.634 MeV. The minimum ⁴⁶Cr energy is 131.402 MeV. The maximum ⁴⁶Cr angle is 0.13 degrees.

Assume normalized emittance 0.6 π mm mrad provided from ReA3 at 3.0 MeV/u.
Geometric emittance is 0.6/0.08 = 7.5 π mm mrad.
Spot size on the target is ±0.5 mm (full width). Then anglular spread is ±15 mrad.
Adding the effect from the target of 0.13 deg = ±2.26 mrad we get ±17.26 mrad of angular spread:
SB 0.0005 0.01726 0 0.0005 0.01726 0 0 0.0047 0 0 0 ;

Emittance measurement
Distance between Q7 center and focal plane is 6.085 m.