We introduce new values of the strength constants (i.e., $a$, $b$, $c$, and
$d$ coefficients) of the Tucson-Melbourne (TM) 2$\pi$ exchange three nucleon
potential. The new values come from contemporary dispersion relation analyses
of meson factory $\pi$N scattering data. We make variational Monte Carlo
calculations of the triton with the original and updated three-body forces to
study the effects of this update. We remove a short-range -- $\pi$-range part
of the potential due to the $c$ coefficient and discuss the effect on the
triton binding energy.Comment: 12 pages, to appear in Few-Body System
Radiative capture of the K − by the deuteron is examined as a reaction for measurement of the Λ-neutron scattering lengths. Using the final state interaction, analogous to measurements of the radiative capture of pions by deuterium, the scattering lengths of both the triplet and singlet Λ-n interaction can be inferred. The problem of the separation of these two fundamental parameters without and with spin information in the experiment is addressed. It is shown that a measurement of the deviation of the vector deuteron polarization asymmetry from -1 provides a direct determination of the difference of the singlet and triplet scattering lengths.
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