Parity-violating πNN coupling constant from the flavor-conserving effective weak chiral Lagrangian

Hyun, Chang Ho (Department of Physics Education, Daegu University, Gyeongsan, 38453, Republic of Korea) ; Kim, Hyun-Chul (Department of Physics, Inha University, Incheon, 22212, Republic of Korea) (School of Physics, Korea Institute for Advanced Study (KIAS), Seoul, 02455, Republic of Korea) ; Lee, Hee-Jung (Department of Physics Education, Chungbuk National University, Cheongju, 28644, Republic of Korea)

22 February 2017

Abstract: We investigate the parity-violating pion–nucleon–nucleon coupling constant hπNN1 , based on the chiral quark-soliton model. We employ an effective weak Hamiltonian that takes into account the next-to-leading order corrections from QCD to the weak interactions at the quark level. Using the gradient expansion, we derive the leading-order effective weak chiral Lagrangian with the low-energy constants determined. The effective weak chiral Lagrangian is incorporated in the chiral quark-soliton model to calculate the parity-violating πNN constant hπNN1 . We obtain a value of about 10−7 at the leading order. The corrections from the next-to-leading order reduce the leading order result by about 20%.

Published in: Physics letters B (2017)
Published by: Elsevier
DOI: 10.1016/j.physletb.2017.02.039
License: CC-BY-3.0

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