Fwd EMC Crystals Geometry

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Presentation transcript:

Fwd EMC Crystals Geometry C. Cecchi, S. Germani, P. Lubrano INFN Perugia 12/12/2007

Rmin = 558 + R = 596.6 Rmax = 920 + R = 958.6 R due to TOF = 100*sin(22.7) = 38.6

Method Take first ring outer radius = Rmax Take 240 crystals for first (closest to Barrel) ring Calculate crystal size assuming regular polygon with inscribed circle of radius Calculate next ring outer radius Inside Same Module Calculate crystal size to have same number of crystals New Module Calculate closest size to 25 mm to have number of crystals divisible by 5 Iterate until inner ring radius <= Rmin

Rmin = 596.6 =============================== 5x5 Modules Ring Rmax Rmin N Side ------------------------------------------------------ 1 958.6 935.7 240 24.80 2 935.7 913.4 240 24.21 3 913.4 891.6 240 23.63 4 891.6 870.3 240 23.06 5 870.3 849.5 240 22.51 6 849.5 826.9 215 24.50 7 826.9 804.9 215 23.85 8 804.9 783.5 215 23.21 9 783.5 762.7 215 22.59 10 762.7 742.4 215 21.99 11 742.4 720.1 190 24.18 12 720.1 698.4 190 23.46 13 698.4 677.4 190 22.75 14 677.4 657.1 190 22.07 15 657.1 637.3 190 21.40 16 637.3 614.7 160 24.59 17 614.7 592.8 160 23.71 18 592.8 571.7 160 22.87 19 571.7 551.3 160 22.05 20 551.3 531.7 160 21.27 Rmin = 596.6

Rmin = 596.6 =============================== 5x1 Modules Ring Rmax Rmin N Side ------------------------------------------------------ 1 958.6 935.7 240 24.80 2 935.7 912.9 235 24.71 3 912.9 890.2 230 24.63 4 890.2 867.5 225 24.54 5 867.5 845.0 220 24.46 6 845.0 822.5 215 24.37 7 822.5 800.1 210 24.28 8 800.1 777.8 205 24.18 9 777.8 755.0 195 24.70 10 755.0 732.3 190 24.60 11 732.3 709.7 185 24.49 12 709.7 687.2 180 24.38 13 687.2 664.8 175 24.28 14 664.8 642.6 170 24.16 15 642.6 620.4 165 24.05 16 620.4 597.6 155 24.69 17 597.6 574.9 150 24.56 18 574.9 552.4 145 24.43 19 552.4 530.0 140 24.29 20 530.0 507.7 135 24.15 Rmin = 596.6

Rmin = 596.6 ============================== 5x1 Modules decreasing size Ring Rmax Rmin N Side ------------------------------------------------------ 1 958.6 935.7 240 24.80 2 935.7 912.9 235 24.71 3 912.9 890.2 230 24.63 4 890.2 867.5 225 24.54 5 867.5 845.0 220 24.46 6 845.0 822.5 215 24.37 7 822.5 800.1 210 24.28 8 800.1 777.8 205 24.18 9 777.8 755.6 200 24.09 10 755.6 733.4 195 23.99 11 733.4 711.4 190 23.89 12 711.4 689.5 185 23.79 13 689.5 667.6 180 23.69 14 667.6 645.8 175 23.58 15 645.8 624.2 170 23.47 16 624.2 602.6 165 23.36 17 602.6 581.2 160 23.25 18 581.2 559.9 155 23.13 19 559.9 538.6 150 23.01 20 538.6 517.5 145 22.89 Rmin = 596.6

Conclusions Explored module configurations 5x1 decreasing crystal size Should we explore 5xN (1<N<5) ? Can check with MC if trend exists 5x1 configurations we can approximate size to have higher number of identical crystals (across more than one ring) and check with MC if increased dead space affect resolution