  Results of the investigations of the yield of high-spin and low-spin isomers
in reactions $^{41}$K($\alpha $,n)$^{44}$Sc, $^{86}$Sr ($\alpha $,n)$^{89}$Zr,
$^{112}$Sn($\alpha$,n)$^{115}$Te, and $^{134}$Ba($\alpha$,n)$^{137}$Ce in the
energy range of the alpha particles 15 $\div$ 31 MeV based on off-beam
measurements of induced activity of members of the isomeric pair are presented.
The anomalous behavior of the isomeric cross-section ratios for the first of
these reactions is confirmed. Uniquely large isomeric cross-section ratios for
the second and third ones are obtained. The features of the fourth reaction,
which are promising for its application in fundamental research, are revealed.
Quality of the description of this dynamics by popular computer codes is
analyzed.
