An Estimation of the Effective Number of Electrons Contributing to the Coordinate Measurement with a TPC
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866915194889830400 |
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| author | Kobayashi, Makoto |
| author_facet | Kobayashi, Makoto |
| contents | For time projection chambers (TPCs) the accuracy in measurement of track coordinates along the pad row direction deteriorates with the drift distance ($z$): $σ_{\rm X}^2 \sim D_{\rm X}^2 \cdot z / N_{\rm eff}$, where $D_{\rm X}$ is the diffusion constant and $N_{\rm eff}$ is the effective number of electrons. Experimentally it has been shown that $N_{\rm eff}$ is smaller than the average number of drift electrons per pad row ($\overline{N}$). We estimated $N_{\rm eff}$ by means of a simple numerical simulation. The simulation shows that $N_{\rm eff}$ can be as small as $\sim$ 30\% of $\overline{N}$ due to the combined effect of statistical fluctuations in the number of drift electrons ($N$) and in their multiplication in avalanches. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_03267 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | An Estimation of the Effective Number of Electrons Contributing to the Coordinate Measurement with a TPC Kobayashi, Makoto Instrumentation and Detectors High Energy Physics - Experiment For time projection chambers (TPCs) the accuracy in measurement of track coordinates along the pad row direction deteriorates with the drift distance ($z$): $σ_{\rm X}^2 \sim D_{\rm X}^2 \cdot z / N_{\rm eff}$, where $D_{\rm X}$ is the diffusion constant and $N_{\rm eff}$ is the effective number of electrons. Experimentally it has been shown that $N_{\rm eff}$ is smaller than the average number of drift electrons per pad row ($\overline{N}$). We estimated $N_{\rm eff}$ by means of a simple numerical simulation. The simulation shows that $N_{\rm eff}$ can be as small as $\sim$ 30\% of $\overline{N}$ due to the combined effect of statistical fluctuations in the number of drift electrons ($N$) and in their multiplication in avalanches. |
| title | An Estimation of the Effective Number of Electrons Contributing to the Coordinate Measurement with a TPC |
| topic | Instrumentation and Detectors High Energy Physics - Experiment |
| url | https://arxiv.org/abs/1903.03267 |