DYNAMICAL CALCULATIONS OF PSEUDOSCALAR AND AXIAL-VECTOR MESON PARAMETERS USING RELATIVISTIC LIPPMANN-SCHWINGER EQUATION

A multichannel dynamical calculation of pseudoscalar and axial-vector meson parameters is performed using the relativistic Lippmann-Schwinger equation. The channel considered is PV→PV. The potential is computed using the usual Feynman rules and the resulting equations are solved on a computer. The cutoff is fixed by adjusting the output mass of one resonance or bound state or the output width to the experimental value. For JP=0- we fix mK=496 MeV and obtain as output mπ=135 MeV, mη=587 MeV. For JP=1+, we fix ΓB=114 MeV and obtain as output mB=1060 MeV, mKc*=1310 MeV, ΓKc*=87 MeV, mH=975 MeV, ΓH=50 MeV, mH′=1400 MeV, ΓH′=43 MeV. Furthermore, if we fix mA1=1080 MeV, we obtain ΓA1=110 MeV, mD=1370 MeV as a bound state. © 1969 The American Physical Society.