  Motivated by the brane-world scenarios, we study the absorption problem when
the spacetime background is $(4+n)$-dimensional Schwarzschild black hole. We
compute the low-energy absorption cross sections for the brane-localized
massive scalar, brane-localized massive Dirac fermion, and massive bulk scalar.
For the case of brane-localized massive Dirac fermion we introduce the
particle's spin in the traditional Dirac form without invoking the
Newman-Penrose method. Our direct introduction of spin enables us to compute
contributions to the $j$th-level partial absorption cross section from orbital
angular momenta $\ell = j \pm 1/2$. It is shown that the contribution from the
low $\ell$-level is larger than that from the high $\ell$-level in the massive
case. In the massless case these two contributions are exactly same with each
other. The ratio of low-energy absorption cross sections for Dirac fermion and
for scalar is dependent on the number of extra dimensions as $2^{(n-3)/
(n+1)}$. Thus the ratio factor 1/8 is recovered when $n=0$, which Unruh found.
The physical importance of this ratio factor is discussed in the context of the
brane-world scenario. For the case of bulk scalar our low-energy absorption
cross section for S-wave is exactly same with area of the horizon hypersurface
in the massless limt, which is an higher-dimensional generaliztion of
universality. Our results for all cases turn out to have correct massless and
4d limits.
