2018/08/25 by Wan, Da-Ming, Zhao, Si-Yu, Sun, Bao-Xi
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.1808.08358
The KK^* interaction Lagrangian is constructed when the SU(3) hidden gauge symmetry is taken into account, and then the KK^* potential is obtained. In the low energy region, the KK^* potential mainly comes from the contribution of the t-channel interaction by exchanging ρ,ω and φ mesons, respectively. The KK^* amplitude is investigated by solving the Bethe-Salpeter equation in the unitary coupled-channel approximation, where the loop function of the vector and pseudoscalar mesons are evaluated in the dimensional regularization scheme, and the contribution of the longitudinal part of the intermediate vector meson propagator is included in the calculation. Finally, it is found that a resonance state of KK^* is generated in the isospin I=0 sector, which might correspond to the f1(1420) particle in the review of the particle data group(PDG). Moreover, in the isospin I=1 sector, a pole of the KK^* amplitude is detected at 1425-i316MeV on the complex plane of the total energy in the center of mass system, which is higher than the KK^* threshold. Thus this pole might be a resonance state of KK^* although no counterpart has been found in the PDG review.