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A note on the tensor and vector exchange contributions to $K \bar K \to K \bar K, D \bar D \to D \bar D $ and $\pi^+ \pi^-\to \pi^+ \pi^-$ reactions
- Source :
- Eur. Phys. J. A (2024) 60: 76
- Publication Year :
- 2023
-
Abstract
- In this note we study the tensor and vector exchange contributions to the elastic reactions involving the pseudoscalars mesons $\pi^+ \pi^-$, $K^{+}K^{-}$ and $D^{+}D^{-}$. In the case of the tensor-exchange contributions we assume that an intermediate tensor $f_2(1270)$ is dynamically generated from the interaction of two virtual $\rho$ mesons, with the use of a pole approximation. The calculation of the two-loop amplitude is facilitated since the triangle loops can be factorized and computed separately. The results show very small contributions coming from the tensor-exchange mechanisms when compared with those from the vector-exchange processes. We compare our results for $\pi \pi$ and $K\bar{K}$ scattering with those obtained in other works where the $f_2(1270)$ is considered as an ordinary $q\bar{q}$ meson. Our picture provides a smaller contribution but of similar order of magnitude for pion scattering and stabilizes the results in the case of $K\bar{K}$, allowing us to make estimates for $D\bar{D}$ scattering.<br />Comment: 12 pages; 6 figures; revised version with several improvements; a comparison with other works is made
- Subjects :
- High Energy Physics - Phenomenology
Subjects
Details
- Database :
- arXiv
- Journal :
- Eur. Phys. J. A (2024) 60: 76
- Publication Type :
- Report
- Accession number :
- edsarx.2310.14015
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1140/epja/s10050-024-01300-y