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Isobar masses

The masses of a set of isobars is given by:

displaymath1705

Let us cast this in the form of the deviation from the mass of the most stable of this set. Putting tex2html_wrap_inline1713 and using tex2html_wrap_inline1715 ,

displaymath1706

where tex2html_wrap_inline1717 is the mass of the most stable isobar (for the given A).

Thus for the odd-A nuclei (i.e. even-odd),

displaymath1707

and for even-A nuclei

displaymath1708

Thus the masses of odd-A nuclei are distributed along a parabola, while those for even-A nuclei alternate between two parabolas separated by tex2html_wrap_inline1729 . Since adjacent isobars are linked by beta decays, this has important consequences for the sequence of decays to the most stable isobar. In particular, there are likely to be two stable isobars for even A, having adjacent even Z and both being unable to decay to the odd Z isobar between them. For odd-A isobars there is only one stable isobar. (So, how many stable nuclei are there for tex2html_wrap_inline1739 ?).



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