📝 SummarXiv

Abstract

Accurate modeling of the initial density profile is essential for studying heavy-ion collisions with transport models. Within the framework of the quantum molecular dynamics (QMD)-type model, a novel method for generating nuclear density distributions based on a Fourier series expansion (FSE) is proposed. In this approach, the objective density distribution is expanded into a Fourier series to construct a filter function, which is then applied to select the randomly sampled nucleon coordinates in phase space to generate a three-dimensional nuclear density distribution that matches the desired profile. Using this FSE-based filtering method, and together with the conventional Woods-Saxon (WS) filtering scheme for comparison, the $^{96}$Ru+$^{96}$Ru collisions are simulated by using the ultra-relativistic quantum molecular dynamics (UrQMD) model. It is found that the FSE method not only reproduces the objective density distribution with high fidelity but also maintains good stability. Furthermore, collective flows of free protons obtained with the FSE initialization provide a significantly improved description of experimental data compared with the WS approach. These results indicate that the FSE method can be integrated into microscopic transport models, offering theoretical support for exploring nuclear structure through HICs.