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arxiv 2204.13316 v1 pith:UDW7QYLW submitted 2022-04-28 hep-ph hep-ex

Sigma_cSigma_c interactions in chiral effective field theory

classification hep-ph hep-ex
keywords sigmainteractionslambdasystemboundchiralcontacteffective
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the interactions of the $\Sigma_c\Sigma_c$ system in the framework of chiral effective theory. We consider the contact, one-pion and two-pion exchange interactions and bridge the low energy constants of the $\Sigma_c\Sigma_c$ system to those of the $\Sigma_c^{(*)}\bar{D}^{(*)}$ systems through the quark-level ansatz for the contact interaction. We explore the influence of intermediate channels in the two-pion exchange diagrams of the $\Sigma_c\Sigma_c$ system. We obtain a deep bound state $[\Sigma_c\Sigma_c]_{J=0}^{I=0}$ and a shallow bound state $[\Sigma_c\Sigma_c]_{J=1}^{I=1}$. As a byproduct, we further investigate the interactions of the $\Lambda_c\Lambda_c$ and $\Lambda_c\Sigma_c$ systems.

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