[Formula presented] term, [Formula presented] in the nucleon, and the scalar form factor: A lattice study

We report on a lattice QCD calculation of the [Formula presented] term, the scalar form factor, and [Formula presented]. The disconnected insertion part of [Formula presented] is found to be 1.8±0.1 times larger than the connected insertion contribution. The [Formula presented] dependence of [Formula presented] is about the same as [Formula presented] of the proton so that [Formula presented] MeV. The ratio [Formula presented]. Both results favor a [Formula presented] MeV, slightly larger than our direct calculation of [Formula presented] MeV. We also compute [Formula presented] and [Formula presented] and find that the agreement with those from the octet baryon mass splittings crucially depends on the inclusion of the large disconnected insertion. Finally, we give our result for the [Formula presented] term.