Abstract
The consequences of requiring the 1S 0 nucleon-nucleon interaction to be (approximately) charge symmetric, are examined in the three nucleon system. It is shown that this does restrict the off-shell variation to the extent that the binding energy of the triton ( E T), and the neutron-deuteron doublet scattering length ( 2 a) should lie on the Phillips line. However it is also shown that this constraint does not significantly reduce the amount of variation in E T (∼(2−3)MeV) and 2 a (∼1.5fm) along the Phillips line. Furthermore, it is pointed out that for the particular transformation used here, the requirement that the long range part of the nuclear force be known (the “one pion exchange” criterion), leads to a similar constraint on the variation in E T and 2 a to that of charge symmetry.
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