Mass Spectrum And Decay Behaviors Of ω/ω₃ And ρ/ρ₃ Meson Families

More and more hadrons have been observed in recent years due to improvements in measuring accuracy and collision energy at experiments.For example,the BESIII Collaboration observed X（2220）state in the e⁺e^-→ωπ⁰π⁰process and X（2220）and X（2232）in the e⁺e^-→ωπ⁺π^-process.The structures and the decay behaviors of these new particles are urgent issues that must be solved.There is currently a lack of experimental information onω₃andρ₃mesons,as well as a lack of comprehensive mass spectra and decay behaviors for these meson families.Thus,it is imperative to conduct study on theω₃andρ₃meson families.Regge trajectories theory,after years of development and evolution,can accurately reflect the relationship between particle energy and principal quantum number or an-gular momentum.The MGI model can also be used to investigate meson spectrum.Regge trajectories theory and the MGI model can not only learn from one another,but also validate one another.Regge trajectories theory is used to obtain the Regge trajec-tories ofω,ρ,ω₃,andρ₃mesons.The MGI model is used to obtain the mass spectrum ofω,ρ,ω₃,andρ₃.ω（2D）,ω₃（4D）,ρ₃（4D）,ω₃（1G）,ρ₃（1G）,ω₃（2G）,ρ₃（2G）,ω₃（3G）andρ₃（3G）have not been found in the experiment.Their masses are 2047.6MeV,2628.8 MeV,2254.8 MeV,2254.8 MeV,2522.3 MeV,2522.3 MeV,2748.5 MeV,and 2748.5 MeV,respectively.The Okubo-Zweig-Iizuka（OZI）allowed two body strong decays can be calculated using the quark pair creation model.The wave function of a meson obtained by the MGI model can also be input to the quark pair creation model,which can then calculate theω,ρ,ω₃,andρ₃partial decay widths and total decay widths of mesons.The results agree well with the experimental values,and the decay widths of mesons not found in the experiment are also calculated.This work investigates the mass spectra and decay behaviors ofω,ρ,ω₃,andρ₃mesons.Combined with new experimental findings in 2022,X（2232）,X（2200）,and X（2220）are studied and analyzed,and the three new resonances are allω（3D）states.It is extremely important for the construction of theωandρmeson families,as well as the experimental exploration of these mesons.