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$��N$ scattering length from $��$ photoproduction on the proton near the threshold
- Publication Year :
- 2019
- Publisher :
- arXiv, 2019.
-
Abstract
- Photoproduction of the $��$ meson on the proton has been experimentally studied near the threshold. The total cross sections are determined at incident energies ranging from 1.09 to 1.15 GeV. The 1/2 and 3/2 spin-averaged scattering length $a_{��p}$ and effective range $r_{��p}$ between the $��$ meson and proton are estimated from the shape of the total cross section as a function of the incident photon energy: $a_{��p} = \left(-0.97^{+0.16_{\rm stat}}_{-0.16_{\rm stat}}{}^{+0.03_{\rm syst}}_{-0.00_{\rm syst}}\right)+i \left(0.07^{+0.15_{\rm stat}}_{-0.14_{\rm stat}}{}^{+0.17_{\rm syst}}_{-0.09_{\rm syst}}\right)$ fm and $r_{��p}=\left(+2.78^{+0.68_{\rm stat}}_{-0.54_{\rm stat}}{}^{+0.11_{\rm syst}}_{-0.13_{\rm syst}}\right)+i\left(-0.01^{+0.46_{\rm stat}}_{-0.50_{\rm stat}}{}^{+0.07_{\rm syst}}_{-0.00_{\rm syst}}\right)$ fm, resulting in a repulsive force. The real and imaginary parts for $a_{��p}$ and $r_{��p}$ are determined separately for the first time. A small $P$-wave contribution does not affect the obtained values.<br />6 pages, 4 figures
- Subjects :
- FOS: Physical sciences
Nuclear Experiment (nucl-ex)
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi...........cd3c56afe2cad094424ce34c5e75acec
- Full Text :
- https://doi.org/10.48550/arxiv.1904.02797