---
abstract: 'The symmetry energy at sub- and supra-saturation densities has great importance for understanding the exact nature of asymmetric nuclear matter as well as neutron stars, but it is poorly known, especially at supra-saturation densities. We will demonstrate here whether or not the neutron-to-proton ratios from different kinds of fragments can determine the supra-saturation behavior of the symmetry energy. For this purpose, a series of Sn isotopes were simulated at different incident energies using the isospin quantum molecular dynamics (IQMD) model with either a soft or a stiff symmetry energy. It is found that the single neutron-to-proton ratio from free nucleons as well as Light Charged particles (LCPs) is sensitive to the symmetry energy, incident energy, and isospin asymmetry of the system. However, with the double neutron-to-proton ratio, this is true only for the free nucleons. It is possible to study the high-density behavior of symmetry energy by using the neutron-to-proton ratio from free nucleons.'
author:
- Sanjeev Kumar
- 'Y. G. Ma[^1]'
- 'G. Q. Zhang'
- 'C. L. Zhou'
title: 'Sensitivity of neutron to proton ratio toward the high density behavior of symmetry energy in heavy-ion collisions'
---

Introduction
============

From the Bethe-Weizsacker mass formula, it is 