Integrated yields
From GOSIA
(more clean-up) |
(still in progress) |
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Detected p-gamma coincident events | Detected p-gamma coincident events | ||
| - | <math>N_i = 10^{-30} [Q / qe] [N_A / A] Y(I_i-->I_f) \epsilon_p \epsilon_\gamma \Delta \Omega_\gamma</math> | + | <math>N_i = 10^{-30} [Q / qe] [N_A / A] Y(I_i-->I_f) \epsilon_p \epsilon_\gamma \Delta \Omega_\gamma</math>, (1) |
| + | |||
| + | where <math>Q</math> is the integrated beam current incident on the target during the experiment, <math>q</math> is the average charge state of the beam, <math>e</math> is the electron charge, | ||
If the absolute efficiency is known well, then it is possible to retrieve | If the absolute efficiency is known well, then it is possible to retrieve | ||
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<math>\epsilon_\gamma</math> is 0.1 to 0.15. If the solid angle subtended by the crystal is ~0.1 sr, then for one crystal <math>\epsilon_\gamma \Delta\Omega_\gamma ~ 0.01</math>. | <math>\epsilon_\gamma</math> is 0.1 to 0.15. If the solid angle subtended by the crystal is ~0.1 sr, then for one crystal <math>\epsilon_\gamma \Delta\Omega_\gamma ~ 0.01</math>. | ||
| - | If the laboratory setup and the EM matrix are accurately represented in the Gosia input, then the absolute counts can be | + | If the laboratory setup and the EM matrix are accurately represented in the Gosia input, then the absolute counts can be reproduced. By appropriately combining the terms in equation (1) above, it can be rewritten |
| + | |||
| + | <math> N_\gamma = 10^{-30} N_p [N_A / A] Y_\gamma \epsilon_p \epsilon_\gamma \Delta\Omega_\gamma </math> (2), | ||
| - | < | + | where <math>N_p</math> is the total number of ''incident'' particles, <math>N_A</math> is Avogadro's number, <math>A</math> is the mass number of the target species, <math>Y_\gamma</math> the yield given by Gosia (using OP,INTI), <math>\epsilon_p</math> is the particle-detection efficiency, <math>\epsilon_\gamma</math> is the <math>\gamma</math>-detector absolute photopeak efficiency, and <math>\Delta\Omega_\gamma</math> is the solid angle subtended by the Ge detector. |
| - | + | ||
| - | </ | + | |
Refer to the page on the [[particle_singles | particle singles]], which is a cross section given in the same output with the integrated yields. | Refer to the page on the [[particle_singles | particle singles]], which is a cross section given in the same output with the integrated yields. | ||
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==Quickly representing a summed 4pi array== | ==Quickly representing a summed 4pi array== | ||
| - | Gosia can quickly integrate the p-gamma events over a <math>4\pi</math> Ge array without adding a detector at every laboratory position. In order to do this, the output file 9 can be modified to make the first two attenuation coefficients 0 for all orders. (File 9 is the output of OP,GDET, commonly called the *.gdt file. For Gammasphere the *.gdt file would look something like | + | Gosia can quickly integrate the p-<math>\gamma</math> events over a <math>4\pi</math> Ge array without adding a detector at every laboratory position. In order to do this, the output file 9 can be modified to make the first two attenuation coefficients 0 for all orders. (File 9 is the output of OP,GDET, commonly called the *.gdt file. For Gammasphere the *.gdt file would look something like |
<pre> | <pre> | ||
