3 research outputs found
Pion and sigma meson properties in a relativistic quark model
A variety of strong and electroweak interaction properties of the pion and
the light scalar sigma meson are computed in a relativistic quark model. Under
the assumption that the resulting coupling of these mesons to the constituent
quarks is identical, the sigma meson mass is determined as M_sigma=385.4 MeV.
We discuss in detail the gauging of the non-local meson-quark interaction and
calculate the electromagnetic form factor of the pion and the form factors of
the pi(0) -> gamma gamma and sigma -> gamma gamma processes. We obtain explicit
expressions for the relevant form factors and evaluate the leading and
next-to-leading orders for large Euclidean photon virtualities. Turning to the
decay properties of the sigma we determine the width of the electromagnetic
sigma -> gamma gamma transition and discuss the strong decay sigma -> pi pi. In
a final step we compute the nonleptonic decays D -> sigma pi and B -> sigma pi
relevant for the possible observation of the sigma meson. All our results are
compared to available experimental data and to results of other theoretical
studies.Comment: 46 page