A determination more realistic simulation A determination with

A determination : more realistic simulation A determination with the constrained fit performed by Vincenzo 8 Fragments studied A determined by: § TOF - TRACKER § TOF – CALO § TRACKER - CALO Z 1 2 3 4 5 6 7 8 A 1 4 7 9 11 12 14 16 Realistic simulation for § beta (TOF) § Total kinetic Energy (CALO) § momentum (TRACKER) Fit the Total Kinetic Energy, the tof and the momentum with the 3 constraints on the mass (Augmented Lagrangian Method) Franchini - Spighi 1

Reconstructed quantities For each fragment § TRUTH § generate Ekin_nucl with Gaussian (μ=200 Me. V, σ=10 Me. V) § generate theta and phi § evaluate all the other quantities Vincenzo § RECO § Ekin_reco = Gaussian (μ= Ekin_truth, σ=3%) § Theta_reco = Gaussian (μ= Theta_truth, σ=0. 004) § Phi_reco = Gaussian (μ= Phi_truth, σ=0. 004) § P_reco = Gaussian (μ= P_truth, σ=3%) § Tof_reco = Gaussian (μ= Tof_truth, σ=100 ps) § ADDITION § Ekin and Tof multiplied by a random number generated by the ratio § Ekin E_depo/Ekin_truth § E_depo = energy deposit in SCINT + CALO § Tof Beta_tof/beta_gen § Beta_tof = track_length/((time_SCINT – time_SC)*c) 2

Total Kinetic Energy, Beta, Momentum take care of the “detector effect” in the Giuseppe simulation Input: /gpfs_data/local/foot/Simulation/16 O_C 2 H 4_mag_high. Thres. root Selected tracks that pass all the subdetectors KINETIC ENERGY how much the peak is far from 0 how many events underestimate kinetic energy Primary + 1 secondary inside 3 cm from the primary (not sure on the correctness) TOF MOMENTUM still not implemented 3

E_kin_nucl Events in the peak (%) Peak expected at zero Proton: peak at ~ 5 -10% He – Li: peak at 1 -2 % Be – O: peak ˂= 1% The secondary do not improve (probably an error in my code) 4

Edepo/E_kin_truth 50% 41% 33% Events outside peak 25% 24% 16% To consider in the simulation 15% 14% 5

Beta_tof/Beta_truth 6

Fit outputs: A fragment 5 Tof-tracker Tof-Calo σ = 0. 53 σ = 0. 57 actual σ = 0. 54 σ = 0. 60 previous Output fit Tracker-Calo σ = 1. 18 σ = 1. 13 μ= 11. 61 σ = 0. 46 Evts/peak = 85. 2% μ= 11. 98 σ = 0. 47 Evts/peak = 100% 7

Fit outputs: Chi 2 fragment 5 actual previous 8

Fit outputs: A fragment 7 Tof-tracker Tof-Calo σ = 0. 70 σ = 0. 72 Tracker-Calo σ = 1. 57 σ = 1. 51 σ = 0. 72 σ = 0. 79 Output fit μ= 15. 36 σ = 0. 59 Evts/peak = 83. 2% μ= 15. 97 σ = 0. 62 Evts/peak = 100% 9

Fit outputs: Chi 2 fragment 7 actual previous 10

Conclusion Keeping into account § loose of kinetic energy + resolution at 3% § tof mis-measurements + resolution of 100 ps § momentum resolution at 4% § Loose 15 -20% of events § Underestimate A Future § Keep into account momentum mis-measurements § Include de/dx § Test a normal chi 2 fit 11

Backup 12

Fit outputs: A fragment 5 Tof-tracker Tof-Calo σ = 0. 54 σ = 0. 60 Tracker-Calo Output fit σ = 1. 13 σ = 0. 47 The fit improve the precision 13

Fit outputs: A fragment 7 Tof-tracker Tof-Calo σ = 0. 72 σ = 0. 79 Tracker-Calo Output fit σ = 1. 51 σ = 0. 62 The fit improve the precision 14