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Pion and sigma meson properties in a relativistic quark model | | Amand Faessler
; Th. Gutsche
; M.A. Ivanov
; V.E. Lyubovitskij
; P.Wang
; | | Date: |
3 Apr 2003 | | Journal: | Phys.Rev. D68 (2003) 014011 | | Subject: | hep-ph | | Affiliation: | Tuebingen U.), Th. Gutsche (Tuebingen U.), M.A. Ivanov (Dubna, JINR), V.E. Lyubovitskij (Tuebingen U.), P.Wang (Tuebingen U. | | Abstract: | 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. | | Source: | arXiv, hep-ph/0304031 | | Services: | Forum | Review | PDF | Favorites | |
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