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arXiv · 1801.09879

Chiral Lagrangians with decuplet baryons to one loop

Shao-Zhou Jiang·Yan-Rui Liu·Hong-Qian Wang·Qin-He Yang
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Abstract

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.

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Shao-Zhou Jiang, Yan-Rui Liu, Hong-Qian Wang, Qin-He Yang. 2018-01-30. Chiral Lagrangians with decuplet baryons to one loop. https://doi.org/10.1103/physrevd.97.054031

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