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.
Highlights
One of the most crucial tasks in hadron physics is to explore hadrons containing heavy quarks, since they are necessary for completing the hadron spectroscopy and useful for our understanding of the QCD dynamics.In recent years, plenty of heavy-flavored baryons have been observed at experiments, some of which are even exotic beyond the expectation of the conventional quark model, e.g., the Pc states as pentaquark candidates reported by LHCb [1,2]
Plenty of heavy-flavored baryons have been observed at experiments, some of which are even exotic beyond the expectation of the conventional quark model, e.g., the Pc states as pentaquark candidates reported by
In the chiral effective Lagrangian to be constructed in the following, Goldstone bosons, originating from spontaneously broken chiral symmetry, and the doubly charmed baryons are taken as explicit degrees of freedom
Summary
One of the most crucial tasks in hadron physics is to explore hadrons containing heavy quarks, since they are necessary for completing the hadron spectroscopy and useful for our understanding of the QCD dynamics. Though predicted by the quark model, members of the spectrum of the doubly and triply heavy-flavored baryons are still absent so far, with the þþ only exception being the Ξþþ cc state. The establishment of the existence of the doubly charmed baryons is zigzag It was first reported in 2002 by the SELEX Collaboration [4] that the Ξþ cc state was observed with measured mass 3519 2 MeV [5]. The finding of the Ξþþ cc state has triggered renewed interest in studying doubly charmed baryons; see, e.g., Refs. A complete and minimal chiral effective Lagrangian for a full one-loop description of interactions between the doubly charmed baryons and Goldstone bosons is still lacking.
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