Inelastic heavy quarkonium photoproduction in $p$-$p$ and $Pb$-$Pb$ collisions at LHC energies
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| Formato: | Preprint |
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2022
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| author | Ma, Zhi-Lei Lu, Zhun Liu, Hao Zhang, Li |
| author_facet | Ma, Zhi-Lei Lu, Zhun Liu, Hao Zhang, Li |
| contents | We study the inelastic charmonium ($J/ψ$, $ψ(2S)$) and bottomonium ($Υ(nS)$) photoproduction and fragmentation processes in $p$-$p$ and $Pb$-$Pb$ collisions at LHC energies, where the ultra-incoherent photon emission is included. In the framework of the NRQCD factorization approach, an exact treatment is developed which recovers Weizsäcker-Williams approximation (WWA) near the region $Q^{2}\sim0$, where the methods of Martin-Ryskin and BCCKL are used to avoid double counting. We calculate the $Q^{2}$, $y$, $z$, $\sqrt{s}$, $p_{T}$ dependent and the total cross sections. It turns out that the inelastic photoproduction and fragmentation processes provide valuable contributions to the heavy quarkonium production, especially in the large $p_{T}$ regions. While the relative contribution of ultra-incoherent photon channel is very important, which rapidly increases along with the growing quarkonium mass, and begins to dominate the photoproduction processes at large $p_{T}$ ranges. Moreover, we obtain the complete validity scopes of WWA in inelastic heavy quarkonium photoproduction in heavy-ion collisions. WWA has a much higher accuracy at high energies and in $Pb$-$Pb$ collisions. The existing photon spectra are generally derived beyond the applicable scopes of WWA, and the double counting exists when the different channels are considered simultaneously. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2203_12153 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Inelastic heavy quarkonium photoproduction in $p$-$p$ and $Pb$-$Pb$ collisions at LHC energies Ma, Zhi-Lei Lu, Zhun Liu, Hao Zhang, Li High Energy Physics - Phenomenology We study the inelastic charmonium ($J/ψ$, $ψ(2S)$) and bottomonium ($Υ(nS)$) photoproduction and fragmentation processes in $p$-$p$ and $Pb$-$Pb$ collisions at LHC energies, where the ultra-incoherent photon emission is included. In the framework of the NRQCD factorization approach, an exact treatment is developed which recovers Weizsäcker-Williams approximation (WWA) near the region $Q^{2}\sim0$, where the methods of Martin-Ryskin and BCCKL are used to avoid double counting. We calculate the $Q^{2}$, $y$, $z$, $\sqrt{s}$, $p_{T}$ dependent and the total cross sections. It turns out that the inelastic photoproduction and fragmentation processes provide valuable contributions to the heavy quarkonium production, especially in the large $p_{T}$ regions. While the relative contribution of ultra-incoherent photon channel is very important, which rapidly increases along with the growing quarkonium mass, and begins to dominate the photoproduction processes at large $p_{T}$ ranges. Moreover, we obtain the complete validity scopes of WWA in inelastic heavy quarkonium photoproduction in heavy-ion collisions. WWA has a much higher accuracy at high energies and in $Pb$-$Pb$ collisions. The existing photon spectra are generally derived beyond the applicable scopes of WWA, and the double counting exists when the different channels are considered simultaneously. |
| title | Inelastic heavy quarkonium photoproduction in $p$-$p$ and $Pb$-$Pb$ collisions at LHC energies |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2203.12153 |