Abstract
It is proved for potentials of the form V(r) = A(r)/rn (n > 3) [with A(r) more singular at r = 0 than r(dA/dr), or apporaching zero less rapidly] that the peratized scattering length can be written down immediately in known form. The distrinction between regularization and peratization is made clear, and a common conjecture about the g (coupling constant) behavior of the peratized scattering length is disproved by a counter example. Finally, various mistakes in the literature are corrected.

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