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${\gamma }^{*}N\to {\Delta }^{+}\left(1600\right)$ transition form factors in light-cone sum rules

Aliev, T. M.; Barakat, T.; Bilmis, S.; Savci, M.


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        "affiliation": "Department of Physics, Middle East Technical University, Ankara 06800, Turkey", 
        "name": "Aliev, T.\u2009M."
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        "affiliation": "Department of Physics, King Saud University, Riyadh 11451, Saudi Arabia", 
        "name": "Barakat, T."
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      {
        "affiliation": "Department of Physics, Middle East Technical University, Ankara 06800, Turkey", 
        "name": "Bilmis, S."
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      {
        "affiliation": "Department of Physics, Middle East Technical University, Ankara 06800, Turkey", 
        "name": "Savci, M."
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    "description": "<p>The form factors of ${\\gamma }^{*}N\\to \\Delta \\left(1600\\right)$ transition is calculated within the light-cone sum rules assuming that ${\\Delta }^{+}\\left(1600\\right)$ is the first radial excitation of $\\Delta \\left(1232\\right)$. The ${Q}^{2}$ dependence of the magnetic dipole ${\\stackrel{\u02dc}{G}}_{M}\\left({Q}^{2}\\right)$, electric quadrupole ${\\stackrel{\u02dc}{G}}_{E}\\left({Q}^{2}\\right)$, and Coulomb quadrupole ${\\stackrel{\u02dc}{G}}_{c}\\left({Q}^{2}\\right)$ form factors are investigated. Moreover, the ${Q}^{2}$ dependence of the ratios ${R}_{\\mathrm{EM}}=-\\frac{{\\stackrel{\u02dc}{G}}_{E}\\left({Q}^{2}\\right)}{{\\stackrel{\u02dc}{G}}_{M}\\left({Q}^{2}\\right)}$ and ${R}_{\\mathrm{SM}}=-\\frac{1}{4{m}_{\\Delta \\left(1600\\right)}^{2}}\\sqrt{4{m}_{\\Delta \\left(1600\\right)}^{2}{Q}^{2}+\\left({m}_{\\Delta \\left(1600\\right)}^{2}-{Q}^{2}-{m}_{N}^{2}{\\right)}^{2}}\\frac{{\\stackrel{\u02dc}{G}}_{c}\\left({Q}^{2}\\right)}{{\\stackrel{\u02dc}{G}}_{M}\\left({Q}^{2}\\right)}$ are studied. Finally, our predictions on ${\\stackrel{\u02dc}{G}}_{M}\\left({Q}^{2}\\right)$, ${\\stackrel{\u02dc}{G}}_{E}\\left({Q}^{2}\\right)$, and ${\\stackrel{\u02dc}{G}}_{C}\\left({Q}^{2}\\right)$ are compared with the results of other theoretical approaches.</p>", 
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