  We compute the lowest components of the Type II Ramond-Ramond boundary state
for the tachyon profile $T (X) = \lambda e ^{X ^ 0/\sqrt{2}}$ by direct path
integral evaluation. The calculation is made possible by noting that the
integrals involved in the requisite disk one-point functions reduce to
integrals over the product group manifold $U (n)\times U (m)$. We further note
that one-point functions of more general closed string operators in this
background can also be related to $U (n)\times U (m)$ group integrals. Using
this boundary state, we compute the closed string emission from a decaying
unstable D$p$-brane of Type II string theory. We also discuss closed string
emission from the tachyon profile $T (X) =\lambda\cosh (X ^ 0/\sqrt{2})$. We
find in both cases that the total number of particles produced diverges for $p
= 0$, while the energy radiated into closed string modes diverges for $p\leq
2$, in precise analogy to the bosonic case.
