https://doi.org/10.1140/epja/s10050-025-01770-8
Regular Article - Theoretical Physics
– scattering using a four-quark form factor inspired by Lattice QCD simulations
Department of Physics, School of Science, University of Management and Technology, 54770, Lahore, Pakistan
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
7
September
2025
Accepted:
16
December
2025
Published online:
15
January
2026
Abstract
We study the spin-averaged elastic scattering cross sections of the 
– system using a QCD-motivated potential framework and the Resonating Group Method (RGM). The interaction incorporates a geometric form factor based on the minimal-area variable 
, supported by lattice studies of multi-quark Wilson-loop geometries. Compared with the conventional Gaussian form, the –based overlap yields slightly larger cross sections near threshold, reflecting its harder short-distance structure and its closer compatibility with the compact wavefunction. A sensitivity analysis over the physically motivated range 
–0.70 shows that while the magnitude varies smoothly with the stiffness parameter, the rapid suppression with increasing kinetic energy remains stable across all values. The results confirm that short-range dynamics dominate bottomonium–bottomonium interactions, consistent with expectations from generalized Gauss-law potentials and leading-twist QCD analyses. The modest near-threshold enhancement may offer useful input for interpreting 
suppression patterns in heavy-ion collisions, where quarkonium interactions with the medium play an important role.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
Communicated by Heng-Tong Ding.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
