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- W2256202107 abstract "Some empirical parametrizations of the $gamma^ast N to N(1535)$ transition amplitudes violates the Siegert's theorem, that relates the longitudinal and the transverse amplitudes, in the pseudo-threshold limit (nucleon and resonance at rest). In the case of the electromagnetic transition from the nucleon (mass $M$) to the resonance $N(1525)$ (mass $M_R$), the Siegert's theorem is sometimes expressed by the relation $|{bf q}| A_{1/2}= lambda S_{1/2}$ in the pseudo-threshold limit, when the photon momentum $|{bf q}|$ vanishes, and $lambda = sqrt{2} (M_R -M)$. In this article, we argue that the Siegert's theorem should be expressed by the relation $A_{1/2} = lambda frac{S_{1/2}}{ |{bf q}|}$, in the limit $|{bf q}| to 0$. This result is a consequence of the relation $S_{1/2} propto |{bf q}|$, when $|{bf q}| to 0$, as suggested by the analysis of the transition form factors and by the orthogonality between the nucleon and $N(1535)$ states. We propose then new empirical parametrizations for the $gamma^ast N to N(1535)$ helicity amplitudes, that are consistent with the data and the Siegert's theorem. The proposed parametrization follow closely the MAID2007 parametrization, except for a small deviation in the amplitudes $A_{1/2}$ and $S_{1/2}$ when $Q^2 < 1.5$ GeV$^2$." @default.
- W2256202107 created "2016-06-24" @default.
- W2256202107 creator A5010720860 @default.
- W2256202107 date "2016-08-01" @default.
- W2256202107 modified "2023-10-17" @default.
- W2256202107 title "Improved empirical parametrizations of the γ⁎N→N(1535) transition amplitudes and the Siegert's theorem" @default.
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- W2256202107 doi "https://doi.org/10.1016/j.physletb.2016.05.060" @default.
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