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Electromagnetic couplings of the ChPT Lagrangian from the perturbative chiral quark model

Abstract : We apply the perturbative chiral quark model to the study of the low-energy pi-N interaction. Using an effective chiral Lagrangian we reproduce the Weinberg-Tomozawa result for the S-wave pi-N scattering lengths. After inclusion of the photon field we give predictions for the electromagnetic O(p^2) low-energy couplings of the chiral perturbation theory effective Lagrangian that define the electromagnetic mass shifts of nucleons and first-order (e^2) radiative corrections to the pi-N scattering amplitude. Finally, we estimate the leading isospin-breaking correction to the strong energy shift of the pi(-)p atom in the 1s state, which is relevant for the experiment "Pionic Hydrogen" at PSI.
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http://hal.in2p3.fr/in2p3-00192845
Contributor : Dominique Girod <>
Submitted on : Thursday, November 29, 2007 - 3:13:46 PM
Last modification on : Thursday, December 10, 2020 - 12:31:48 PM

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V.E. Lyubovitskij, T. Gutsche, A. Faessler, R. Vinh Mau. Electromagnetic couplings of the ChPT Lagrangian from the perturbative chiral quark model. Physical Review C, American Physical Society, 2002, 65, pp.025202. ⟨10.1103/PhysRevC.65.025202⟩. ⟨in2p3-00192845⟩

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