  We report results on the total and elastic cross sections in proton-proton
collisions at $\sqrt{s}=200$ GeV obtained with the Roman Pot setup of the STAR
experiment at the Relativistic Heavy Ion Collider (RHIC). The elastic
differential cross section was measured in the squared four-momentum transfer
range $0.045 \leq -t \leq 0.135$ GeV$^2$. The value of the exponential slope
parameter $B$ of the elastic differential cross section $d\sigma/dt \sim
e^{-Bt}$ in the measured $-t$ range was found to be $B = 14.32 \pm 0.09
(stat.)^{\scriptstyle +0.13}_{\scriptstyle -0.28} (syst.)$ GeV$^{-2}$. The
total cross section $\sigma_{tot}$, obtained from extrapolation of the
$d\sigma/dt$ to the optical point at $-t = 0$, is $\sigma_{tot} = 54.67 \pm
0.21 (stat.) ^{\scriptstyle +1.28}_{\scriptstyle -1.38} (syst.)$ mb. We also
present the values of the elastic cross section $\sigma_{el} = 10.85 \pm 0.03
(stat.) ^{\scriptstyle +0.49}_{\scriptstyle -0.41}(syst.)$ mb, the elastic
cross section integrated within the STAR $t$-range $\sigma^{det}_{el} = 4.05
\pm 0.01 (stat.) ^{\scriptstyle+0.18}_{\scriptstyle -0.17}(syst.)$ mb, and the
inelastic cross section $\sigma_{inel} = 43.82 \pm 0.21 (stat.) ^{\scriptstyle
+1.37}_{\scriptstyle -1.44} (syst.)$ mb. The results are compared with the
world data.
