JINA-CEE ION OPTICS SUMMER SCHOOL: JIOSS 2018

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group_secar2.0 [2018/09/11 15:39]
plastun 		group_secar2.0 [2018/09/11 16:47]
wagner
Line 1: Line 1:
-Group SECAR2.0+====== Group SECAR2.0 ======
  
-Reaction: <sup>45</sup>V(p,γ)<sup>46</sup>Cr\\+-- by Alex, Nadeesha and Louis -- 
 + 
 +===== DAY1===== 
 +==== Getting started ===== 
 + 
 +Choosen example reaction: <sup>45</sup>V(p,γ)<sup>46</sup>Cr\\ 
 +⇒important for <sup>44</sup>Ti production rate in core collapse Supernova ([[https://www.sciencedirect.com/science/article/pii/S0375947403008704|Horoi et al. Nucl.Phys.A 718, (2003)]])\\
 Beam: <sup>45</sup>V<sup>13+</sup> of 135 MeV (1% enegry spread)\\ Beam: <sup>45</sup>V<sup>13+</sup> of 135 MeV (1% enegry spread)\\
 {{ :dipole.png?300 |}}\\ {{ :dipole.png?300 |}}\\
-Matrix:\\+====Understanding COSY Matrix output==== 
 +Command: OV 1 1 0 ; {order 1, phase space dim 1 INCLUDING ENERGY, # of parameters 0}\\ 
 +Output:\\
 |1.0|0.0|0.0|0.0|-0.41| |1.0|0.0|0.0|0.0|-0.41|
 |2.2|1.0|0.0|0.0|-0.35|\\ |2.2|1.0|0.0|0.0|-0.35|\\
 +Explanation:
 +|R<sub>11</sub>|R<sub>12</sub>|0.0|0.0|R<sub>15</sub>|
 +|R<sub>21</sub>|R<sub>22</sub>|0.0|0.0|R<sub>25</sub>|\\
 R<sub>11</sub> = 1.0 is "Magnification", i.e. no magnification provided with the dipole.\\ R<sub>11</sub> = 1.0 is "Magnification", i.e. no magnification provided with the dipole.\\
 R<sub>12</sub> = 0.0 is "Focusing", i.e. no focusing is provided by the dipole.\\ R<sub>12</sub> = 0.0 is "Focusing", i.e. no focusing is provided by the dipole.\\
Line 14: Line 25:
 R<sub>25</sub> = -0.35 is ToF difference due to different initial angle.\\ R<sub>25</sub> = -0.35 is ToF difference due to different initial angle.\\
  
 +==== Reaction Kinematics Calculation====
 {{ :reaction_kinematics.png?400 |}} {{ :reaction_kinematics.png?400 |}}
-Reaction summary for <sup>45</sup>V+p→γ+<sup>46</sup>Cr, Ek(<sup>45</sup>V)=135 MeV\\+ 
 +Reaction summary for <sup>45</sup>V+p→γ+<sup>46</sup>Cr, E<sub>kin</sub>(<sup>45</sup>V)=135 MeV\\
 The maximum γ energy is 8.481 MeV. The minimum γ energy is 7.249 MeV.\\ The maximum γ energy is 8.481 MeV. The minimum γ energy is 7.249 MeV.\\
 The maximum <sup>46</sup>Cr energy is **132.634 MeV**. The minimum <sup>46</sup>Cr energy is **131.402 MeV**. The maximum <sup>46</sup>Cr angle is **0.13 degrees**.\\ The maximum <sup>46</sup>Cr energy is **132.634 MeV**. The minimum <sup>46</sup>Cr energy is **131.402 MeV**. The maximum <sup>46</sup>Cr angle is **0.13 degrees**.\\
  
-Assume normalized emittance 0.6 π mm mrad provided from ReA3 at 3.0 MeV/u. \\ +If we assume a normalized emittance of 0.6 π mm mrad provided from ReA3 at 3.0 MeV/u the geometric emittance is 0.6/0.08 = 7.5 π mm mrad.\\ 
-Geometric emittance is 0.6/0.08 = 7.5 π mm mrad.\\ +With the spot size on the target, designed to be ±0.5 mm (1σ), the anglular spread then is ±15 mrad.\\ 
-Spot size on the target is ±0.5 mm (full width). Then anglular spread is ±15 mrad.\\ +Adding the calculated spread from the reaction with the target of 0.13 deg = ±2.26 mrad we get ±17.26 mrad of angular spread.\\ 
-Adding the effect from the target of 0.13 deg = ±2.26 mrad we get ±17.26 mrad of angular spread:\\ +⇒COSY beam input: SB 0.0005 **0.01726** 0 0.0005 **0.01726** 0 0 0.0047 0 0 0 ;\\ 
-SB 0.0005 0.01726 0 0.0005 0.01726 0 0 0.0047 0 0 0 ;\\ +Output for this beam passing the dipole:
 {{ :dipole46cr13.png?400 |}} {{ :dipole46cr13.png?400 |}}
  
 +===== DAY2 =====
  
-**Emittance measurement**\\ +==== Emittance Measurement ==== 
-Distance between Q7 center and focal plane is 6.085 m.+ 
 +The distance between the center of Q7 and the focal plane FP2 is 6.085 m as extracted from the script file.
 {{ :emittance.png?400 |}} {{ :emittance.png?400 |}}
  
-Q7 strenght variation:\\ +=== Quadrupole strenght variations for emittance measurment === 
-|B [T] |Xmax[m] |ap [m] |Brho [Tm] |L [m] |K|+ 
 +|B<sub>Q7</sub> [T] |X<sub>max</sub>[m] |ap [m] |Bρ* [Tm] |L<sub>Q7</sub> [m] |K|
 |0.02 |2.91E-03 |0.13 |0.8 |0.34 |0.065384615| |0.02 |2.91E-03 |0.13 |0.8 |0.34 |0.065384615|
 |0.01 |2.27E-03 |0.13 |0.8 |0.34 |0.032692308| |0.01 |2.27E-03 |0.13 |0.8 |0.34 |0.032692308|
Line 45: Line 59:
 |-0.06 |2.26E-03 |0.13 |0.8 |0.34 |-0.196153846|\\ |-0.06 |2.26E-03 |0.13 |0.8 |0.34 |-0.196153846|\\
  
-**Fit of the data to parabola**+*Bρ the magnetic rigidity was extracted from COSY by comand CONS(CHIM)\\ 
 + 
 +=== Fit of the data to parabola === 
 {{ :plot.png?400 |}} {{ :plot.png?400 |}}
  
Line 51: Line 68:
 b = 0.0834414129893 \\ b = 0.0834414129893 \\
 c = 3.506973286e-07\\ c = 3.506973286e-07\\
-double check for beam size calculation in Q7: X_calculated = X_cosy_read_out = 3.55\\ +X<sub>max</sub><sup>2</sup> = σ<sub>11</sub> = aK<sup>2</sup> - 2abK + ab<sup>2</sup> + c 
-Emittance = 3.045387898578198e-07  π m rad= 0.3 π mm mrad\\ +The consistency check for beam size calculation in Q7 shows: X_calculated = 3.13mm, X_cosy_read_out = 3.16mm at the Q7 exit.\\ 
-start beam emittance= XX * AX= 0.2 π mm mrad so the emittance grows from the start to the focal point\\+Emittance = 3.045387898578198e-07  π m rad= 0.3 π mm mrad.\\ 
 +Start beam emittance= XX * AX= 0.2 π mm mrad, so the emittance grows from the start to the focal point.\\ 
 +This rmittance grow is possibly due to the optics aberrations. Input COSY file does a 4th-order-calculation. Also the measured points don't fit the parabola ideally, i.e. the optics is non-linear.\\ 
  
/srv/thewikis/JIOSS/data/pages/group_secar2.0.txt · Last modified: 2018/09/13 16:49 by plastun

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