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Article overview
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Light pseudoscalar meson and doubly charmed baryon scattering lengths with heavy diquark-antiquark symmetry | | Lu Meng
; Shi-Lin Zhu
; | | Date: |
18 Nov 2018 | | Abstract: | We adopt the heavy baryon chiral perturbation theory (HBChPT) to calculate
the scattering lengths of $phi B_{cc}^{(*)}$ up to $mathcal{O}(p^3)$. The
recoil effect and the mass splitting between the spin-$1over 2$ and
spin-$3over 2$ doubly charmed baryons are included. In order to give the
numerical results, we construct the chiral Lagrangians with heavy
diquark-antiquark (HDA) symmetry in a formally covariant approach. Then, we
relate the low energy constants (LECs) of the doubly charmed baryons to those
of $D^{(*)}$ mesons. The LECs for the $phi D^{(*)}$ scattering are estimated
in two scenarios, fitting lattice QCD results and using the resonance
saturation model. The final results for two scenarios are consistent with each
other. The interaction for the $[piXi^{(*)}_{cc}]^{(1/2)}$,
$[KXi^{(*)}_{cc}]^{(0)}$, $[KOmega^{(*)}_{cc}]^{(1/2)}$,
$[etaXi^{(*)}_{cc}]^{(1/2)}$, $[etaOmega^{(*)}_{cc}]^{(0)}$ and
$[ar{K}Xi^{(*)}_{cc}]^{(0)}$ channels are attractive. The most attractive
channel $[ar{K}Xi^{(*)}_{cc}]^{(0)}$ may help to form the partner states of
the $D_{s0}^*(2317)$ ($D_{s1}(2460)$) in the doubly heavy sector. | | Source: | arXiv, 1811.7320 | | Services: | Forum | Review | PDF | Favorites | |
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