The filtered laser excitation technique was applied for measuring transition
frequencies of the Ca2 B-X system from asymptotic levels of the
X1Σg+ ground state reaching v′′=38. That level has an
outer classical turning point of about 20~\AA which is only 0.2 \rcm below the
molecular 1S+1S asymptote. Extensive analysis of the spectroscopic data,
involving Monte Carlo simulation, allowed for a purely experimental
determination of the long range parameters of the potential energy curve. The
possible values of the s-wave scattering length could be limited to be between
250a0 and 1000a0.Comment: 10 pages, 7 figure