Determination of coupling constants and helicity amplitudes in decay processes

Abstract

The two coupling constants and the helicity amplitudes of the decay processes [(I) a spin-J baryon decaying into a pseudoscalar meson and a spin-g baryon, and (2) a spin-J boson decaying into a pseudoscalar meson and a spin-1 boson with normality opposite to that of the decaying bosonl are expressed in terms of the partial-wave amplitudes. The expressions a r e exact, without involving any kinematical and dynamical assumptions except Lorentz invariance. The values of the coupling constants and the helicity amplitudes are then calculated for baryons of spin 5, $, and3 and for bosons of spin 1 by ignoring the high-partial-wave contribution. Under the above approximation, simple relations between the coupling constants and between the helicity amplitudes are obtained. The results are found to be exactly the same as those predicted by SU(2), as long as SU (2), does not forbid any helicity amplitud e .The decay of the high-spin resonance into a pseudoscalar meson and another high-spin r e s onance involves two o r m o r e independent coupling constants. In the c a s e of strong decays, the numb e r of independent coupling constants i s equal to the number of partial waves allowed. Therefore, when the resonances a r e baryons, the number of the independent coupling constants i s equal to J t i , where J i s the l e s s e r spin of the two baryons.When the resonances a r e bosons, t h e r e a r e J + 1

Some Local Temperature Variations in North‐east Derbyshire

“…In connection with the urban heat-island effect, it is interesting to take note of a recent study by Lee (1975) who concludes that there is a significantly positive correlation between the magnitude of a particular heat-island and the lapse of potential temperature at a rural site. If the magnitude of the difference between Wingerworth and Chesterfield is compared with that between Wingerworth and Brampton, a negative correlation coefficient is found (r= -0*32), which is significant at the 5 per cent level.…”

Annotated checklist of the birds of Ontario /

“…*Mockingbird, Mimus polyglottos (Linnaeus). Rare local permanent resident in south (north to Sudbury, Ottawa); occasional, rare north to Moosonee (Gunn, 1958a), Sioux Lookout (de Vos, 1964), Big Trout Lake (Lee, 1975…”

“…Common summer resident across province, north to Kenora, Sault Ste. Marie, Lake Nipissing; occasional, rare north to Cochrane; sight records to Moosonee (Baillie,195 Id), Big Trout Lake (Lee, 1975). Occasional; rare in winter in south.…”