Impact of Geometric Inflation on Nucleon Size Sensitivity in Relativistic Heavy-Ion Collisions
Jian-fei Wang🇨🇳 · Hao-jie Xu🇨🇳
The intrinsic transverse size of nucleons, parameterized by a Gaussian width , is a critical yet uncertain input in the initial-state modeling of relativistic heavy-ion collisions. Using a finite in standard initial geometry models introduces an unintentional ``geometric inflation'' that alters the initial nuclear density profile. In this study, we implement a self-consistent density correction to eliminate this artifact and investigate its impact on final-state observables. Through hybrid (viscous hydrodynamics + hadronic transport) simulations of Pb+Pb collisions at the LHC, we demonstrate that removing geometric inflation significantly modifies the sensitivity of observables to the nucleon width . While elliptic flow and mean transverse momentum () become less sensitive to variations in , the Pearson correlation coefficient , fluctuations, and triangular flow exhibit enhanced sensitivity to fluctuations in nucleon positions. Our results indicate that uncorrected geometric inflation can bias the extraction of nucleon structure and quark-gluon plasma properties. This underscores the necessity of a self-consistent initial-state geometry for reliable Bayesian inference in heavy-ion collisions.