Chiral perturbation theory and the f 2 „ 1270 ... resonance
نویسنده
چکیده
Within chiral perturbation theory, we study elastic pion scattering in the I50,J52, channel, whose main features are the f (1270) resonance and the vanishing of the lowest order. By means of a chiral model that includes an explicit resonance coupled to pions, we describe the data and calculate the resonance contribution to the O(p) and O(p) chiral parameters. We also generalize the inverse amplitude method to higher orders, which allows us to study channels with vanishing lowest order. In particular, we apply it to the I50,J52 case, finding a good description of the f 2(1270) resonance, as a pole in the second Riemann sheet.
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We study d wave ππ scattering phase shift using a proper unitarization approach. It is verified that the f2(1270) resonance corresponds to a twin pole structure: one on the second sheet, another one on the third sheet. Also we find fair agreement on f2(1270) pole’s mass and width between our results and the PDG values. Besides, our analysis reveals the existence of a virtual state in this chann...
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