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The decay constant

The decay constant is

displaymath2219

In the following, tex2html_wrap_inline2233 will be assumed as the effect of non-zero neutrino mass is extremely small.

The phase space volume element is

displaymath2220

where tex2html_wrap_inline2235

It is usual to write

displaymath2221

where

displaymath2222

f goes as tex2html_wrap_inline2239 for low tex2html_wrap_inline2193 and tex2html_wrap_inline2243

he decay constant can then be written as

displaymath2223

Rearranging,

displaymath2224

Using tex2html_wrap_inline2245 this can be written as an `ft' value

displaymath2225

Because of the wide range of beta lifetimes, transitions are classified by tex2html_wrap_inline2247 into allowed, etc.

Superalowed Fermi transitions have tex2html_wrap_inline2249 and hence tex2html_wrap_inline2251 s; of course, measurements of the lifetimes of these yields rather a value for g.



Physics Department
Wed Nov 6 08:30:28 GMT+0200 1996