Measurement of the Δ−−Δ++ electromagnetic mass difference

Electromagnetic mass differences of SU(3) baryons within a chiral soliton model

“…is well satisfied with the experimental data, as shown in Table III. [36] (M Ξ * 0 − M Ξ * − ) −3.32 ± 0.32 −2.9 ± 0.9 [19] (M ∆ ++ − M ∆ 0 ) −2.54 ± 0.57 −2.86 ± 0.30 [35] (M ∆ + − M ∆ − ) −5.28 ± 0.30 (M ∆ ++ − M ∆ − ) −5.86 ± 0.38 −5.9 ± 3.1 [20] (M Σ * + − M Σ * − ) −5.28 ± 0.30…”

“…In the Review of Particle Physics 2010 [19], only the mass difference M Ξ * 0 − M Ξ * − is given as −2.9 ± 0.9 MeV. The Gatchina group [20] reported many years ago the mass difference M ∆ ++ − M ∆ − = −5.9 ± 3.1 MeV. However, the experimental uncertainty is rather large.…”

“…Employing the results of Eqs. ( 4) and (19) and the masses of the baryon octet as input, we can determine the parameters for the hadronic isospin symmetry breaking as follows a = −3.63 ± 0.09, b = 2.86 ± 0.12 (20) in units of MeV. From Eq.…”

“…[35] are based on the πN phase-shift analysis. Moreover, one has to keep in mind that the experimental data [20] suffer from a large amount of errors and are not completely free from model dependence. The present results are in good agreement with the experimental data within uncertainties.…”