Absorptive corrections to the electromagnetic form factor in high-energy elastic proton-proton scattering
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arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913502904451072 |
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| author | Poblaguev, Andrei |
| author_facet | Poblaguev, Andrei |
| contents | Recently, it was noted that absorptive corrections to the electromagnetic form factor in high-energy proton-proton scattering are important for the theoretical interpretation of the $p^\uparrow{p}$ and $p^\uparrow{A}$ analyzing power $A_\text{N}(t)$ measurements with the Hydrogen Jet Target polarimeter (HJET) at RHIC. Here, a concise expression for the absorptive correction was derived within the eikonal approach. The resulting analysis reveals a systematic bias, nearly independent of the beam energy, in the experimental determination of the real-to-imaginary ratio $ρ$ when absorption effects are overlooked in the data analysis. Quantification of this bias, as $ρ^\text{meas}=ρ+ (0.036\pm0.016)_\text{bias}$, was achieved using a Regge fit applied to available proton-proton measurements of $ρ^\text{meas}(s)$ and $σ^\text{meas}_\text{tot}(s)$. Considering the potential impact of such an effect on the experimentally determined $A_\text{N}(t)$, one may enhance consistency between the HJET and STAR measurements of the hadronic spin-flip amplitude. While the sign of the bias in the value of $ρ$ aligns with the anticipated effective increase in the proton charge radius in $pp$ scattering due to absorption, it amplifies the observed discrepancy between $σ^\text{meas}_\text{tot}$ and $ρ^\text{meas}$ values at $\sqrt{s}=13\,\text{TeV}$ as measured in the TOTEM experiment. Evaluation (using published TOTEM data) of the measured proton-proton $dσ/dt$ dependence on the absorptive corrections indicated that possible soft photon corrections to the hadronic amplitude slope may be essential for such data analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09237 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Absorptive corrections to the electromagnetic form factor in high-energy elastic proton-proton scattering Poblaguev, Andrei High Energy Physics - Phenomenology Recently, it was noted that absorptive corrections to the electromagnetic form factor in high-energy proton-proton scattering are important for the theoretical interpretation of the $p^\uparrow{p}$ and $p^\uparrow{A}$ analyzing power $A_\text{N}(t)$ measurements with the Hydrogen Jet Target polarimeter (HJET) at RHIC. Here, a concise expression for the absorptive correction was derived within the eikonal approach. The resulting analysis reveals a systematic bias, nearly independent of the beam energy, in the experimental determination of the real-to-imaginary ratio $ρ$ when absorption effects are overlooked in the data analysis. Quantification of this bias, as $ρ^\text{meas}=ρ+ (0.036\pm0.016)_\text{bias}$, was achieved using a Regge fit applied to available proton-proton measurements of $ρ^\text{meas}(s)$ and $σ^\text{meas}_\text{tot}(s)$. Considering the potential impact of such an effect on the experimentally determined $A_\text{N}(t)$, one may enhance consistency between the HJET and STAR measurements of the hadronic spin-flip amplitude. While the sign of the bias in the value of $ρ$ aligns with the anticipated effective increase in the proton charge radius in $pp$ scattering due to absorption, it amplifies the observed discrepancy between $σ^\text{meas}_\text{tot}$ and $ρ^\text{meas}$ values at $\sqrt{s}=13\,\text{TeV}$ as measured in the TOTEM experiment. Evaluation (using published TOTEM data) of the measured proton-proton $dσ/dt$ dependence on the absorptive corrections indicated that possible soft photon corrections to the hadronic amplitude slope may be essential for such data analysis. |
| title | Absorptive corrections to the electromagnetic form factor in high-energy elastic proton-proton scattering |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.09237 |