摘要
In this paper we propose a dispersive method to describe two-body scattering with unitarity imposed. This approach is applied to elastic ππ scattering. The amplitudes keep single-channel unitarity and describe the experimental data well, and the low-energy amplitudes are consistent with that of chiral perturbation theory. The pole locations of the σ, f0(980), ρ(770) and f2(1270) and their couplings to ππ are obtained. A virtual state appearing in the isospin-two S-wave is confirmed. The correlations between the left(and right) hand cut and the poles are discussed. Our results show that the poles are more sensitive to the right hand cut rather than the left hand cut. The proposed method could be used to study other two-body scattering processes.
In this paper we propose a dispersive method to describe two-body scattering with unitarity imposed. This approach is applied to elastic ππ scattering. The amplitudes keep single-channel unitarity and describe the experimental data well, and the low-energy amplitudes are consistent with that of chiral perturbation theory. The pole locations of the σ, f0(980), ρ(770) and f2(1270) and their couplings to ππ are obtained. A virtual state appearing in the isospin-two S-wave is confirmed. The correlations between the left(and right) hand cut and the poles are discussed. Our results show that the poles are more sensitive to the right hand cut rather than the left hand cut. The proposed method could be used to study other two-body scattering processes.
基金
Supported by National Natural Science Foundation of China uder Grant Nos.11805059,11805012,11805037
Fundamental Research Funds for the Central Universities
the Joint Large Scale Scientific Facility Funds of the NSFC
Chinese Academy of Sciences(CAS)under Grant No.U1832121
Shanghai Pujiang Program under Grant No.18PJ1401000
Open Research Program of Large Research Infrastructures(2017)
CAS,the DFG(SFB/TR 110,“Symmetries and the Emergence of Structure in QCD”)
the Chinese Academy of Sciences(CAS) President’s International Fellowship Initiative(PIFI)under Grant No.2018DM0034
Volkswagen Stiftung under Grant No.93562
