Prog. Theor. Phys. Vol. 37 No. 2 (1967) pp. 470-471
|ΔI| = 1/2 Rule and K →2π Decays
Department of Physics, Tokyo University of Education, Tokyo
(Received November 28, 1966)
DOI : 10.1143/PTP.37.470
R. O. Bangerter et al., Phys. Rev. Lett. 17 (1966), 495[APS].
- If we assume the weak interaction (1), we cannot assume that the mass differences, such as m(K2)-m(π2), are caused by the Lagrangian, δm \intq(x) λs q(x) d3x.
See, for example, S. Coleman and S. Glashow, Phys. Rev. 134 (1964), B671[APS].
- For example, [m(π+)-m(π0)/m(π)]2.
Y. Hara and Y. Nambu, Phys. Rev. Lett. 16 (1966), 875[APS].
The assumption that the K →2π decay amplitudes are quadratic functions of meson four-momenta has been justified by Fujii. Y. Fujii, Phys. Rev. Lett. 17 (1966), 613[APS].
- In evaluating ratios (7) and (8), we have included corrections due to the differences of final momenta and the K+ - K0 mass difference.
- The phase volume of the π+ π- final state is about twice as big as that of 2π0 final state.
- A. H. Rosenfeld et al., UCRL-8030, August 1966 Revision.
- The relation (5) results if the strong interactions are U(3)×U(3) symmetric.
- We cannot compare <Pj|Hw|Pl> with mass differences of pseudoscalar mesons.
- If we assume the current × current interaction with charged and neutral currents, a=-2b.
Citing Article(s) :
Progress of Theoretical Physics Vol. 50 No. 6 (1973) pp. 1973-1980
Violation of the |ΔI|=1/2 Rule in K→3π Decays
Kiyoshi Kudo, Katsuhiko Ohya and Takamitsu Oka