Stronger $C$-odd color charge correlations in the proton at higher energy
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866913703541080064 |
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| author | Dumitru, Adrian Mäntysaari, Heikki Paatelainen, Risto |
| author_facet | Dumitru, Adrian Mäntysaari, Heikki Paatelainen, Risto |
| contents | The non-forward eikonal scattering matrix for dipole-proton scattering at high energy obtains an imaginary part due to a $C$-odd three gluon exchange. We present numerical estimates for the perturbative Odderon amplitude as a function of dipole size, impact parameter, their relative azimuthal angle, and light-cone momentum cutoff $x$. The proton is approximated as $ψ_\mathrm{qqq}|qqq\rangle + ψ_\mathrm{qqqg}|qqqg\rangle$, where $ψ_\mathrm{qqq}$ is a non-perturbative three quark model wave function while the gluon emission is computed in light-cone perturbation theory. We find that the Odderon amplitude increases as $x$ decreases from 0.1 to 0.01. At yet lower $x$, the reversal of this energy dependence would reflect the onset of universal small-$x$ renormalization group evolution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2210_05390 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Stronger $C$-odd color charge correlations in the proton at higher energy Dumitru, Adrian Mäntysaari, Heikki Paatelainen, Risto High Energy Physics - Phenomenology Nuclear Theory The non-forward eikonal scattering matrix for dipole-proton scattering at high energy obtains an imaginary part due to a $C$-odd three gluon exchange. We present numerical estimates for the perturbative Odderon amplitude as a function of dipole size, impact parameter, their relative azimuthal angle, and light-cone momentum cutoff $x$. The proton is approximated as $ψ_\mathrm{qqq}|qqq\rangle + ψ_\mathrm{qqqg}|qqqg\rangle$, where $ψ_\mathrm{qqq}$ is a non-perturbative three quark model wave function while the gluon emission is computed in light-cone perturbation theory. We find that the Odderon amplitude increases as $x$ decreases from 0.1 to 0.01. At yet lower $x$, the reversal of this energy dependence would reflect the onset of universal small-$x$ renormalization group evolution. |
| title | Stronger $C$-odd color charge correlations in the proton at higher energy |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2210.05390 |