Relativistic mean field theory for lambda hypernuclei and neutron stars

We study the lambda hypernuclei and neutron stars in terms of the relativistic mean field theory. A special emphasis is placed on the importance of the lambda-omega tensor coupling, which affects largely the spin-orbit splitting. The presently available data on hypernuclei are not good enough to identify its strength. We find that the neutron star property is sensitive to its strength and the observational neutron star mass provides the necessity of the tensor coupling. (author)