Interrelation among effective weak Yukawa interactions and various types of two-body weak interactions is discussed, and the refinement of the pole approximation is given. For this purpose, relations among three assumptions are investigated. Assumption I proposed by Fujii and Terazawa leads to the soft-meson theorem, owing to which one can relate the strong scattering amplitudes (the strong vertices) to the weak vertices (the effective two-dody weak interactions), and octet-spurion formalism and tadpole model are derived. The decupletbaryon-pole contributions to the hyperon decays are estimated in accordance with Assumption I and are shown to be relatively small.Relation of the effective two-body transition defined by using appropriate neutral currents ia< 7 ) and j 5 a< 7 > (Assumption II) to the scalar-and psuedoscalar densities is discussed. It is shown first that the effective two-body transition derived from Assumption II can be regarded as approximately proportional to the scalar-and pseudoscalar densities with appropriate SU (3).transformation properties, and secondly that, using the F-type vector current, one can obtain favourable values for the ratios of coupling constants of the effective two-body weak transition.In the framework of the pole approximation, when one combines Assumption I (or Assumption HI--approximate Goldberger-Treiman relation) with Assumption II one can obtain the relations derived from Assumption III (or I). As a result, it is shown that the relation Av(n) """'d·A 8 (n) """'e·AB (n) holds for any n (decay mode) and ~ (F/D-ratio of strong meson-baryon ps(ps) interaction) ""'"'(0.5""--'0.6), where Av(n), A 8 (n) and AB(n) mean the S-wave hyperon decay amplitudes due to the K*-, K-and baryon-poles, respectively, and d and e are constants. Numerical values of d and e and the scalar (pseudoscalar) spurion coupling, ' 17 > 1n"'~7;30 Mev and r/C~12 Mev or 50 Mev. 16 ),l?)We adopted tc 1° (the sixth member of scalar octet) and I<:} (the seventh men1ber *> Note that K 0 = (K 2°-iK 1°) lv-' /v-z·. K1° and K1° are the CP-even com-ponents· **> Judging from the note added in proof of the paper by Riazuddin and Mahanthappa,H iv) a similar idea also has been proposed by them for H)j2 . by guest on April 13, 2015
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.