Pair structure of heavy tetraquark systems

Guojun Huang; Jiaxing Zhao; Pengfei Zhuang

Pair structure of heavy tetraquark systems

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arxiv 2012.14845 v2 pith:ZKXCZVPP submitted 2020-12-29 hep-ph

Guojun Huang , Jiaxing Zhao , Pengfei Zhuang This is my paper

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keywords heavypairpairstetraquarkequationpotentialquarksystems

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abstract

We study the pair description of heavy tetraquark systems $|QQ\bar Q \bar Q\rangle$ in the frame of a non-relativistic potential model. By taking the two heavy quark pairs $(Q\bar Q)$ as colored clusters, the four-quark Schr\"odinger equation is reduced to a two-pair equation, when the inner motion inside the pairs can be neglected. Taking into account all the Casimir scaling potentials between two quarks and using the lattice QCD simulated mixing angle between the two color-singlet states for the tetraquark system, we extracted a detailed pair potential between the two heavy quark pairs.

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MRS-pNRQCD plus GFMC stabilizes heavy-hadron spectroscopy; NNLO baryon masses undershoot lattice QCD by 125–175 MeV with 1/m_Q scaling, and a critical mass ratio for tetraquark binding is extracted.

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