Lorentz Covariant Chiral U(6)×U(6) Scheme of Baryon-Meson Interactions
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It is attempted to extend the concept of current algebra to the domain ot strong interactions. The idea is as follows: In the weak leptonic processes, the hadrons are subject to transformations induced by certain generators of chiral U(6)×U(6) algebra, whereas the strong baryon-meson interactions are invariant under the chiral U(6)×U(6) transformations as well as space reflection and charge conjugation. Conventional way of particle assignment in current algebra is essentially of static nature, and inadequate for the treatment of strong interactions in which the baryon momentum transfers are not negligible. Therefore all the particle assignments are made in a manifestly Lorentz-covariant way. Representations considered are (21, 6)⨁(6, 21) and (36, 1)⨁(1, 36). The former consists of the baryons whose spin-parity and SU(3) properties are (1 / 2^+ ; 8), (3 / 2^+ ; 10), (1 / 2^- ; 1), (1 / 2^- ; 8), (1 / 2^- ; 10), and (3 / 2^- ; 8), whereas the latter consists of the mesons (0^- ; 8 and 1), (1^- ; 8 and 1), (0^+ ; 8 and 1), and (1^+ ; 8 and 1). The resultant pseudoscalar meson coupling is of the PCAC type, i. e. , the coupling through the four-dimensional divergence o_μJ^A_μ of the axial-vector baryon currents. The proposed interaction scheme contains only one free parameter, which is normalized so as to give G^2_NNπ> / 4π=14. With this normalization, very good values are predicted for the NΣK and N∧K coupling constants and also for the decay widths and branching ratios of (3 / 2^+ ; 10) baryon resonances and Y^*_0(1405) [assinged to (1 / 2^- ; 1)]. However, the predicted width of N^*__<1 / 2>(1518) [assigned to (3 / 2^- ; 8)] is too large compared to experiment.
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