  TOTEM has measured the differential cross-section for elastic proton-proton
scattering at the LHC energy of {\srud}s = 7TeV analysing data from a short run
with dedicated large {\beta} * optics. A single exponential fit with a slope B
= (20:1{\pm}0:2stat {\pm}0:3syst)GeV-2 describes the range of the four-momentum
transfer squared |t| from 0.02 to 0.33 GeV2. After the extrapolation to |t| =
0, a total elastic scattering cross-section of (24:8{\pm}0:2stat {\pm}1:2syst)
mb was obtained. Applying the optical theorem and using the luminosity
measurement from CMS, a total proton-proton cross-section of (98:3{\pm}0:2stat
{\pm}2:8syst) mb was deduced which is in good agreement with the expectation
from the overall fit of previously measured data over a large range of
center-of-mass energies. From the total and elastic pp cross-section
measurements, an inelastic pp cross-section of (73:5{\pm}0:6stat +1:8 -1:3
syst) mb was inferred. PACS 13.60.Hb: Total and inclusive cross sections
