Application of Nilsson model for deformed nucleus in relativistic heavy ion collisions

TL;DR

This paper explores the use of the Nilsson model to describe deformed nuclei in relativistic heavy ion collisions, specifically U+U collisions at RHIC, and compares it with experimental data.

Contribution

It introduces the Nilsson model as an alternative to Woods-Saxon for nuclear shape description in collision simulations.

Findings

Nilsson model partially explains experimental charged particle multiplicity data.

Implementation in HIJING shows reasonable agreement with observations.

Provides a new approach for modeling deformed nuclei in heavy ion collisions.

Abstract

Electron scattering methods, involving nucleus which have little or no intrinsic deformation suggest nucleon distribution to be of Fermi type. This distribution is further parameterised as Wood Saxon (WS) distribution, where an uniform charge density with smoothed-out surface have been implemented. Incorporating shape modification in WS, earlier attempts were made to explain observables in deformed nuclear collisions, such as charged particle multiplicity. In this work, we use an alternate approach known as Nilsson model or Modified Harmonic Oscillator (MHO), to explain charged particle multiplicity in U+U collisions at top RHIC energy. We have implemented the formalism in HIJING model and we found that the model describes the experimental data to an extent.