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arXiv · 2012.11117

Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$

Peng-Cheng Qiu·De-Liang Yao
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Abstract

The chiral effective meson-baryon Lagrangian for the description of interactions between the doubly charmed baryons and Goldstone bosons is constructed up to the order of $q^{4}$. The numbers of linearly independent invariant monomials of $\mathcal{O}(q^2)$, $\mathcal{O}(q^3)$ and $\mathcal{O}(q^4)$ are 8, 32 and 218, in order. The obtained Lagrangian can be used to study the chiral dynamics and relevant phenomenology of the doubly charmed baryons at complete one-loop level in future. For completeness, the non-relativistic reduction of the Lagrangian is also discussed.

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Peng-Cheng Qiu, De-Liang Yao. 2020-12-21. Chiral effective Lagrangian for doubly charmed baryons up to $\mathcal{O}(q^4)$. https://doi.org/10.1103/physrevd.103.034006

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