Analysis of the strong decays of P<sub>c</sub>(4312) as a pentaquark molecular state with QCD sum rules *
Zhi-Gang Wang, Xu Wang
Abstract
Abstract In this article, we tentatively assign P c (4312) to be the pentaquark molecular state with the spin-parity , and discuss the factorizable and non-factorizable contributions in the two-point QCD sum rules for the molecular state in detail to prove the reliability of the single pole approximation in the hadronic spectral density. We study its two-body strong decays with the QCD sum rules, and special attention is paid to match the hadron side with the QCD side of the correlation functions to obtain solid duality. We obtain the partial decay widths and , which are compatible with the experimental value of the total width, and support assigning to be the pentaquark molecular state.
Topics & Concepts
PhysicsPentaquarkParticle physicsQuantum chromodynamicsHadronQCD sum rulesState (computer science)Sum rule in quantum mechanicsSpectrum (functional analysis)Nuclear physicsValue (mathematics)Spectral lineQuantum Chromodynamics and Particle InteractionsParticle physics theoretical and experimental studiesCold Atom Physics and Bose-Einstein Condensates