  We investigate the problem of characterising the family of strongly
quasipositive links which have definite symmetrised Seifert forms and apply our
results to the problem of determining when such a link can have an L-space
cyclic branched cover. In particular, we show that if $\delta_n = \sigma_1
\sigma_2 \ldots \sigma_{n-1}$ is the dual Garside element and $b = \delta_n^k P
\in B_n$ is a strongly quasipositive braid whose braid closure $\widehat b$ is
definite, then $k \geq 2$ implies that $\widehat b$ is one of the torus links
$T(2, q), T(3,4), T(3,5)$ or pretzel links $P(-2, 2, m), P(-2,3,4)$. Applying
Theorem 1.1 of our previous paper we deduce that if one of the standard cyclic
branched covers of $\widehat b$ is an L-space, then $\widehat b$ is one of
these links. We show by example that there are strongly quasipositive braids
$\delta_n P$ whose closures are definite but not one of these torus or pretzel
links. We also determine the family of definite strongly quasipositive
$3$-braids and show that their closures coincide with the family of strongly
quasipositive $3$-braids with an L-space branched cover.
