### Abstract

We apply the perturbative chiral quark model to the study of the low-energy πN interaction. Using an effective chiral Lagrangian we reproduce the Weinberg-Tomozawa result for the S-ware πN 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 πN scattering amplitude. Finally, we estimate the leading isospinbreaking correction to the strong energy shift of the π^{-}p atom in the 1s state, which is relevant for the experiment "pionic hydrogen" at PSI.

Original language | English |
---|---|

Pages (from-to) | 252021-2520210 |

Number of pages | 2268190 |

Journal | Physical Review C - Nuclear Physics |

Volume | 65 |

Issue number | 2 |

Publication status | Published - Feb 2002 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review C - Nuclear Physics*,

*65*(2), 252021-2520210.

**Electromagnetic couplings of the chiral perturbation theory Lagrangian from the perturbative chiral quark model.** / Lyubovitskij, V. E.; Gutsche, Th; Faessler, Amand; Vinh Mau, R.

Research output: Contribution to journal › Article

*Physical Review C - Nuclear Physics*, vol. 65, no. 2, pp. 252021-2520210.

}

TY - JOUR

T1 - Electromagnetic couplings of the chiral perturbation theory Lagrangian from the perturbative chiral quark model

AU - Lyubovitskij, V. E.

AU - Gutsche, Th

AU - Faessler, Amand

AU - Vinh Mau, R.

PY - 2002/2

Y1 - 2002/2

N2 - We apply the perturbative chiral quark model to the study of the low-energy πN interaction. Using an effective chiral Lagrangian we reproduce the Weinberg-Tomozawa result for the S-ware πN scattering lengths. After inclusion of the photon field we give predictions for the electromagnetic O(p2) low-energy couplings of the chiral perturbation theory effective Lagrangian that define the electromagnetic mass shifts of nucleons and first-order (e2) radiative corrections to the πN scattering amplitude. Finally, we estimate the leading isospinbreaking correction to the strong energy shift of the π-p atom in the 1s state, which is relevant for the experiment "pionic hydrogen" at PSI.

AB - We apply the perturbative chiral quark model to the study of the low-energy πN interaction. Using an effective chiral Lagrangian we reproduce the Weinberg-Tomozawa result for the S-ware πN scattering lengths. After inclusion of the photon field we give predictions for the electromagnetic O(p2) low-energy couplings of the chiral perturbation theory effective Lagrangian that define the electromagnetic mass shifts of nucleons and first-order (e2) radiative corrections to the πN scattering amplitude. Finally, we estimate the leading isospinbreaking correction to the strong energy shift of the π-p atom in the 1s state, which is relevant for the experiment "pionic hydrogen" at PSI.

UR - http://www.scopus.com/inward/record.url?scp=0036464186&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036464186&partnerID=8YFLogxK

M3 - Article

VL - 65

SP - 252021

EP - 2520210

JO - Physical Review C

JF - Physical Review C

SN - 0556-2813

IS - 2

ER -