Branching ratio and information entropy for the p+${}^{12}$C reaction in the extended-quantum-molecular-dynamics model

Abstract

The reactions of p+${}^{12}$C with triangular 3$\alpha$ structure and spherical structure with incident energies ranging from 5 to 200 MeV/nucleon are simulated by the in the extended-quantum-molecular-dynamics (EQMD) model together with the GEMINI decay process. This paper presents the incident energy dependence of the branching ratios of fragment production and multiplicity, as well as the associated event information entropy. The results indicate that the triangular 3$\alpha$ ${}^{12}$C has an extra branching ratio for the quasi-elastic reaction compared to the spherical ${}^{12}$C. This peculiarity of the branching ratios of the triangular 3$\alpha$ ${}^{12}$C appears as a small dent in the curves of the event information entropy (both the fragment information entropy and the multiplicity information entropy). Therefore, we propose that the event information entropy could be a probe for detecting the $\alpha$-cluster structure.

9 pages, 7 figures

References in corpus (16)

• Giant Dipole Resonance as a Fingerprint of $\alpha$ Clustering Configurations in ${}^{12}$C and ${}^{16}$O
• Dynamics of clusters and fragments in heavy-ion collisions
• Transport approaches for the Description of Intermediate-Energy Heavy-Ion Collisions
• QCD Equation of State of Dense Nuclear Matter from a Bayesian Analysis of Heavy-Ion Collision Data
• Effects of a phase transition on two-pion interferometry in heavy-ion collisions at $\sqrt{s_{\mathrm{NN}}}=2.4-7.7$ GeV
• Directed flow of $\Lambda$ in high-energy heavy-ion collisions and $\Lambda$ potential in dense nuclear matter
• Lambda polarization in ${}^{108}$Ag +${}^{108}$Ag and ${}^{197}$Au +${}^{197}$Au collisions around a few GeV
• Dipole excitation of ${}^6$Li and ${}^9$Be studied with an extended quantum molecular dynamics model
• Shear viscosity of nucleonic matter
• Effects of sequential decay on collective flows and nuclear stopping power in heavy-ion collisions at intermediate energies
• Nucleosynthesis of light nuclei and hypernuclei in central Au+Au collisions at $\sqrt{s_{NN}}$=3 GeV
• Momentum correlation of light nuclei in Au + Au collisions at $\sqrt{s_{NN}}$ = 2.0 $\sim$ 7.7 GeV
• Temperature and density effects on the two-nucleon momentum correlation function from excited single nuclei
• Information entropy for central ${}^{197}$Au+${}^{197}$Au collisions with the ultrarelativistic quantum molecular dynamics model
• Exploring the Diversity of Nuclear Density through Information Entropy
• QCD Nuclear Factor and the Moments of the Multiplicity Distributions in High-Order Perturbative Gluodynamics