The static multipole moments of Δ1236(3/2,3/2) from superconvergence inNγ → Δπ scattering |
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Authors: | D H Schiller I Raszillier |
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Institution: | 1. University of Timisoara, Timisoara, Romania 2. UInstitute of Physics of the Academy, Bucharest, Romania
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Abstract: | Saturating superconvergence sum rules inNγ→Δπ scattering byN andΔ, we are able to relate the (isoscalar) dipole magnetic moment \(\tilde \mu _\Delta\) and the quadrupole electric moment \(\tilde Q_\Delta\) of the isobarΔ to the electric charge \(\tilde Z_\Delta\) and the dipole magnetic momentμ N of the nucleonN. The numerical results are: \(\tilde \mu _\Delta \equiv \mu _{\Delta ^ + } + \mu _{\Delta ^0 } = 3.26\) (in unitse/2M)=2.48 (in unitse/2m), and \(\tilde Q_\Delta \equiv Q_{\Delta ^ + } + Q_{\Delta ^0 } = 0.050\) (in unitse/M 2)=0.029 (in unitse/m 2), whereM(m) is the mass ofΔ(N). Neglecting the pion mass and takingM=m,μ n /μ p =?2/3, we get theSU 6 result μΔ+=μ p . |
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