The Three-Pion Decays of the a1(1260) |
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Authors: | Xu Zhang Ju-Jun Xie |
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Affiliation: | Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China University of Chinese Academy of Sciences, Beijing 101408, China |
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Abstract: | We investigate the decay of a1+ (1260)→π+π+π- with the assumption that the a1(1260) is dynamically generated from the coupled channel ρπ and KK* interactions. In addition to the tree level diagrams that proceed via a1+ (1260)→ρ0π+→π+π+π-, we take into account also the final state interactions of ππ→ππ and KK→ππ. We calculate the invariant π+π- mass distribution and also the total decay width of a1+ (1260)→π+π+π- as a function of the mass of a1(1260). The calculated total decay width of a1(1260) is significantly different from other model calculations and tied to the dynamical nature of the a1(1260) resonance. The future experimental observations could test of model calculations and would provide vary valuable information on the relevance of the ρπ component in the a1(1260) wave function. |
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Keywords: | effective Lagagian approach axial-vector meson final state interactions |
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