Chiral Lagrangians with decuplet baryons to one loop
| Autor: | Jiang, Shao-Zhou, Liu, Yan-Rui, Wang, Hong-Qian, Yang, Qin-He |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 97, 054031 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.97.054031 |
| Popis: | We construct the relativistic chiral Lagrangians with decuplet baryons up to the order $\mathcal{O}(p^4)$ (one loop). For the meson-decuplet-decuplet couplings, there are 1, 13, 55, and 548 terms in the $\mathcal{O}(p^1)$-$\mathcal{O}(p^4)$ order Lagrangians, respectively. For the meson-octet-decuplet Lagrangians, the number of independent terms from $\mathcal{O}(p^1)$ to $\mathcal{O}(p^4)$ are 1, 5, 67, and 611, respectively. For convenience of applications, the $\pi\Delta\Delta$ and $\pi N\Delta$ chiral Lagrangians are picked out. This new form of $\Delta$ Lagrangians is equivalent to the original isovector-isospinor one and we establish relations between these two forms. Comment: 25 pages, 7 tables |
| Databáze: | arXiv |
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