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(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.
| 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
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Electromagnetic couplings of the chiral perturbation theory Lagrangian from the perturbative chiral quark model. / Lyubovitskij, V. E.; Gutsche, Th; Faessler, Amand; Vinh Mau, R.
In: Physical Review C - Nuclear Physics, Vol. 65, No. 2, 02.2002, p. 252021-2520210.Research output: Contribution to journal › Article
}
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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0036464186&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0036464186
VL - 65
SP - 252021
EP - 2520210
JO - Physical Review C
JF - Physical Review C
SN - 0556-2813
IS - 2
ER -