Measurement of $\sigma_{\mathrm{ABS}}$ and $\sigma_{\mathrm{CX}}$ of $\pi^+$ on carbon by DUET

TL;DR

This paper presents precise measurements of absorption and charge exchange cross sections of positive pions on carbon within a specific momentum range, providing data that aligns well with previous studies and includes detailed uncertainty analysis.

Contribution

The study provides new, precise measurements of $\sigma_{ ext{ABS}}$ and $\sigma_{ ext{CX}}$ for $\pi^+$ on carbon, including a covariance matrix for the data points.

Findings

Measured $\sigma_{ ext{ABS}}$ and $\sigma_{ ext{CX}}$ with ~9.5\% and ~18\% uncertainties.

Results agree with previous experimental data.

Covariance matrix for the measured data points is reported.

Abstract

The DUET Collaboration reports on the measurements of the absorption ($\sigma_{\mathrm{ABS}}$) and charge exchange ($\sigma_{\mathrm{CX}}$) cross sections of positively charged pions on carbon nuclei for the momentum range 201.6 MeV$/c$ to 295.1 MeV$/c$. The uncertainties on the absorption and charge exchange cross sections are $\sim$9.5\% and $\sim$18\%, respectively. The results are in good agreement with previous experiments. A covariance matrix correlating the 5 $\sigma_{\mathrm{ABS}}$ and 5 $\sigma_{\mathrm{CX}}$ measured data points is also reported