The weak pion-nucleon vertex revisited |
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| Institution: | 1. School of Science and State Key Laboratory of Information Photonics and Optical Communications, Beijing University of Posts and Telecommunications, Beijing 100876, China;2. School of Science, Beijing Jiaotong University, Beijing 100044, China;1. Departamento de Física, Universidade Federal de Santa Catarina, CEP 88040-900, Florianópolis, SC, Brazil;2. Institute of Physics, Federal University of Goiás, 74690-900, Goiânia, GO, Brazil;3. Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain;1. National Mobile Communications Research Lab, Southeast University, Nanjing, 210096, China;2. State Key Lab. of Millimeter Waves, Southeast University, Nanjing, 210096, China |
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| Abstract: | We evaluate the parity-violating weak pion-nucleon vertex in the framework of a chiral soliton model including pions and the vector mesons ρ and ω. The weak πN coupling constant >Gπ is enhanced by a factor of 13.3 for the standard electro-weak model as compared to the Cabbibo model, with its absolute value given by Gπ ≈ 2.7 · 10−8. We compare our results to available data and other theoretical determinations. In particular, we predict the γ-asymmetry in 18F to be |P(18F)|= 1.2 · 10−4. We also discuss calculational differences to standard quark model estimates. |
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