η<sub>b</sub>–η<sub>b </sub>scattering using a four-quark form factor inspired by lattice QCD simulations
Oral-In-person · Withdrawn
Abstract
We calculate the spin-averaged scattering cross sections of the ηb–ηb system using the Resonating Group Method within a QCD-motivated approach that incorporates a geometric form factor derived from the minimal surface area,Smin spanned by the gluonic flux. In contrast to the conventional Gaussian form factor often adopted for computational simplicity, the Smin
-based expression yields noticeably larger cross sections for the ηb–ηb system. This enhancement arises from the spin–singlet nature of the ηb meson, which strengthens the short-range attraction and increases the effective overlap between interacting clusters. When compared with the Υ(1S)–Υ(1S) system calculated under identical conditions, the ηb–ηb scattering exhibits larger cross sections, indicating stronger coupling in the pseudoscalar channel. The contrasting behavior of the two form factors highlights their sensitivity to the underlying flux-tube geometry and the spin configuration of the interacting states. Our results support the view that short-range interactions dominate the dynamics of heavy quarkonium pairs and may provide useful input for understanding quarkonium behavior in hot and dense QCD matter, particularly in the context of suppression effects observed in heavy-ion collisions.
-based expression yields noticeably larger cross sections for the ηb–ηb system. This enhancement arises from the spin–singlet nature of the ηb meson, which strengthens the short-range attraction and increases the effective overlap between interacting clusters. When compared with the Υ(1S)–Υ(1S) system calculated under identical conditions, the ηb–ηb scattering exhibits larger cross sections, indicating stronger coupling in the pseudoscalar channel. The contrasting behavior of the two form factors highlights their sensitivity to the underlying flux-tube geometry and the spin configuration of the interacting states. Our results support the view that short-range interactions dominate the dynamics of heavy quarkonium pairs and may provide useful input for understanding quarkonium behavior in hot and dense QCD matter, particularly in the context of suppression effects observed in heavy-ion collisions.
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Publication: We have submitted a publication for Y(1S)-Y(1S) scattering, which is under review but the work that will be presented in the Global Physics Summit is for ηᵦ–ηᵦ scattering and can be compared with the submitted article.
Presenters
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Muhammad Imran Jamil
- University of Management and Technology