Low-energy interactions between doubly charmed baryons and Goldstone bosons from lattice QCD

A bstract We perform a lattice QCD calculation of the S -wave interactions between the ground-state spin-1 / 2 doubly charmed baryons and Goldstone bosons. The lattice QCD simulations are carried out on four 2 + 1 flavor Wilson-Clover ensembles generated by the CLQCD collaboration, with a lattice spacing a = 0 . 07746 fm and two different pion masses, M π ~ 210 and ~ 300 MeV. Energy levels are extracted for four single channels, $$ {\varOmega}_{cc}{\overline{K}}^{\left(-2,1/2\right)} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Ω</mml:mi> <mml:mi>cc</mml:mi> </mml:msub> <mml:msup> <mml:mover> <mml:mi>K</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mfenced> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:mfenced> </mml:msup> </mml:math> , Ξ cc K (1,1) , Ξ cc K (1 , 0) , and Ξ cc π (0 , 3 / 2) , where the superscripts ( S, I ) denote strangeness S and isospin I . Our results indicate that the Ξ cc K (1 , 0) channel is attractive, exhibiting negative energy shifts relative to the non-interacting two-hadron thresholds, while the other three channels are repulsive. Using Lüscher’s finite-volume formula, we extract the near-threshold phase shifts and determine the S -wave scattering lengths. Furthermore, a virtual state pole is found in the Ξ cc K (1 , 0) scattering amplitude. These results provide ab initio input to enable high-precision studies of the properties and spectroscopy of doubly heavy baryons.