Pole Model of Non-Leptonic Decay Consistent with Decay Parameters and Sum Rules

概要

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Considering the difficulties to get decay parameters and sum rules consistently and the ill forbiddeness of K_1^0→2π in SU(3) limit, we reject the prejudice that the non-leptonic decay can be expressed with trilinear interaction, and instead adopt the pole model with all two-body type weak interactions that are CP invariant, λ_6-like and constructed from baryon octet, pseudoscalar meson octet and vector meson nonet with actual mass splittings. It follows, then, that i) Σ^+→n+π^+ is uniquely determined to be pure P-wave process consistent with both of the recent experiments and result on SU_6 theory; ii) experimental values of six α's and γ's are consistently reproduced by means of four parameters including weak and strong F/D ratios whose fittest values are F/D=2/3 (the value suggested by the SU_6 theory) consistent with experimental values ~1/(√<3>); iii) with the fixed parameters there hold exactly or approximately six sum rules for each of S and P waves. These sum rules include relations obtained on the SU_6 theory and two new ones for the P wave. It is also shown that K_1^0→2π is allowed with right order owing to our assumptions, contrasting with its forbiddeness with trilinear interaction at the SU_3-symmetry limit.
理論物理学刊行会の論文
1966-01-25