Superallowed transitions are -transitions between two members of
an isospin multiplet --- for instance a hadron A of spin zero decaying
into another spinless hadron with the same parity.
In this particular
case, the axial vector contribution to the matrix element
vanishes because since there is no spin, it is impossible to construct
an axial vector out of two hadron momenta alone. These types of
transitions are pure vector interactions known as Fermi transitions and
can be used to test the CVC hypothesis. The coupling constant
is the same as
given in equation (
). In
addition, the matrix element
which
is known as
for pure Fermi transitions, can be evaluated without
reference to the details of the nuclear wavefunctions. Since both
states belong to the same isomultiplet differing only in their values
of
(see equation (1.59)),
is the matrix element of the
isospin raising or lowering operator
:
From angular momentum theory,
For all superallowed transitions of the type
and