Doubly Charmed $H$-like dibaryon $\Lambda_c \Lambda_c$ scattering from Lattice QCD
Y. Geng*, L. Liu, P. Sun, J.J. Wu, H. Xing, Z. Yan and R. Zhu
Pre-published on:
December 05, 2024
Published on:
—
Abstract
To explore the properties of H-like dibaryon $\Lambda_c \Lambda_c(0^+)$, we proceed ab-initio calculation on lattice. Two Wilson-Clover ensembles are used with the same setup at $m_\pi \approx 303 \,$MeV and lattice spacing $a\approx0.07746\,$fm. We find the coupling between $\Lambda_c\Lambda_c$ and $\Xi_{cc}N$ is quite small. Considering the discretization effect from lattice, a modification on $\rm{L\ddot{u}scher}$ equation firstly is proposed in this work. Scattering length $a_0$ given by Effective Range Expansion method(ERE) equals to $-1.43(49)\,$fm. Under this quark mass, we find no bound state relying on our calculation.
DOI: https://doi.org/10.22323/1.466.0307
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