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- W2132608416 abstract "It is shown that the helicity amplitudes ${A}_{1/2}$ and ${S}_{1/2}$ in the $ensuremath{gamma}Nensuremath{rightarrow}N(1535)$ reaction, can be well related by ${S}_{1/2}=ensuremath{-}frac{sqrt{1+ensuremath{tau}}}{sqrt{2}}frac{{M}_{S}^{2}ensuremath{-}{M}^{2}}{2{M}_{S}Q}{A}_{1/2}$ in the region ${Q}^{2}>2text{ }text{ }{mathrm{GeV}}^{2}$, where $M$ and ${M}_{S}$ are the nucleon and $N(1535)$ masses, ${q}^{2}=ensuremath{-}{Q}^{2}$ the four-momentum transfer squared, and $ensuremath{tau}=frac{{Q}^{2}}{({M}_{S}+M{)}^{2}}$. This follows from the fact that the Pauli-type transition form factor ${F}_{2}^{*}$ extracted from the experimental data, turns up to show ${F}_{2}^{*}ensuremath{simeq}0$ for ${Q}^{2}>1.5text{ }text{ }{mathrm{GeV}}^{2}$. The observed relation is tested by the experimentally extracted helicity amplitudes and the MAID parametrization (Mainz group). A direct consequence of the relation is that the assumption $|{A}_{1/2}|ensuremath{gg}|{S}_{1/2}|$ is not valid for high ${Q}^{2}$. Instead, both amplitudes ${A}_{1/2}$ and ${S}_{1/2}$ have the same ${Q}^{2}$ dependence in the high ${Q}^{2}$ region; aside from that ${S}_{1/2}$ has an extra factor, $ensuremath{-}frac{1}{sqrt{2}}frac{{M}_{S}ensuremath{-}M}{2{M}_{S}}$. The origin of this relation is interpreted in a perspective of a quark model." @default.
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- W2132608416 date "2011-09-07" @default.
- W2132608416 modified "2023-09-26" @default.
- W2132608416 title "Simple relation between the<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>γ</mml:mi><mml:mi>N</mml:mi><mml:mo>→</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy=false>(</mml:mo><mml:mn>1535</mml:mn><mml:mo stretchy=false>)</mml:mo></mml:math>helicity amplitudes" @default.
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- W2132608416 doi "https://doi.org/10.1103/physrevd.84.051301" @default.
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