Simple Lévy-$α$ stable model analysis of elastic $pp$ and $p\bar p$ low-$|t|$ data from SPS to LHC energies
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| Format: | Preprint |
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2023
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| _version_ | 1866910354627362816 |
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| author | Csörgő, T. Hegyi, S. Szanyi, I. |
| author_facet | Csörgő, T. Hegyi, S. Szanyi, I. |
| contents | A simple Lévy-$α$ stable (SL) model is used to describe the data on elastic $pp$ and $p\bar p$ scattering at low-$|t|$ from SPS energies up to LHC energies. The SL model is demonstrated to describe the data with a strong non-exponential feature in a statistically acceptable manner. The energy dependence of the parameters of the model is determined and analyzed. The Lévy $α$ parameter of the model has an energy-independent value of 1.959 $\pm$ 0.002 following from the strong non-exponential behavior of the data. We strengthen the conclusion that the discrepancy between TOTEM and ATLAS elastic $pp$ differential cross section measurements arises only in the normalization and not in the shape of the distribution of the data as a function of $t$. We find that the slope parameter has different values for $pp$ and $p\bar p$ elastic scattering at LHC energies. This may be the effect of the odderon exchange or the jump in the energy dependence of the slope parameter in the energy interval 3 GeV $\lesssim \sqrt s \lesssim$ 4 GeV. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_01621 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simple Lévy-$α$ stable model analysis of elastic $pp$ and $p\bar p$ low-$|t|$ data from SPS to LHC energies Csörgő, T. Hegyi, S. Szanyi, I. High Energy Physics - Phenomenology A simple Lévy-$α$ stable (SL) model is used to describe the data on elastic $pp$ and $p\bar p$ scattering at low-$|t|$ from SPS energies up to LHC energies. The SL model is demonstrated to describe the data with a strong non-exponential feature in a statistically acceptable manner. The energy dependence of the parameters of the model is determined and analyzed. The Lévy $α$ parameter of the model has an energy-independent value of 1.959 $\pm$ 0.002 following from the strong non-exponential behavior of the data. We strengthen the conclusion that the discrepancy between TOTEM and ATLAS elastic $pp$ differential cross section measurements arises only in the normalization and not in the shape of the distribution of the data as a function of $t$. We find that the slope parameter has different values for $pp$ and $p\bar p$ elastic scattering at LHC energies. This may be the effect of the odderon exchange or the jump in the energy dependence of the slope parameter in the energy interval 3 GeV $\lesssim \sqrt s \lesssim$ 4 GeV. |
| title | Simple Lévy-$α$ stable model analysis of elastic $pp$ and $p\bar p$ low-$|t|$ data from SPS to LHC energies |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.01621 |