Mass Splitting and the Quark Theory. I

Abstract

We calculate the masses of the decuplet and the octet baryons by using a spin- and $\mathrm{SU}(3)$-spin-dependent quark-quark force. We compare it with the required quark-antiquark force used in a previous paper in order to explain the mass splitting of the $P$ and the $V$ nonet mesons. The result is consistent with the assumption that these two forces are related to each other by charge conjugation. We further observe that the ratio of radial integrals for quark-quark and quark-antiquark symmetry-breaking forces is the same as that for the symmetric forces, if quarks are very heavy.