Deformation probes for light nuclei in their collisions at relativistic energies

Abstract

We have investigated the performance of anisotropic flows $⟨v_n^2⟩$, transverse momentum fluctuations $⟨\delta p_T^2⟩$, and their correlations $⟨v_n^2\delta p_T⟩$ in central collisions at relativistic energies as probes of deformation parameters ${\beta }_n$ of colliding nuclei, if these nuclei are light nuclei with large ${\beta }_n$ and different configurations of $\alpha$ clusters. The effects from higher-order ${\beta }_n$ terms are illustrated by derived relations based on the overlap of two nuclei with uniform density distributions and by dynamic simulations of collisions of heavy nuclei whose density distributions are of a deformed Woods-Saxon (WS) form. While the linear relations between ${\beta }_n^2$, $⟨v_n^2⟩$, and $⟨\delta p_T^2⟩$ and that between ${\beta }_n^3$ and $⟨v_n^2\delta p_T⟩$ can be violated for extremely large ${\beta }_n$, they are mostly valid for realistic values of ${\beta }_n$, as long as the density distribution of colliding nuclei can be described by a deformed WS form. However, these linear relations are generally not valid with more realistic density distributions of light nuclei with $\alpha$ clusters, and the amount of deviation depends on the detailed $\alpha$-cluster configurations. Care must be taken when one tries to extract the deformation of light nuclei, and specific probes for $\alpha$-cluster structures in these nuclei are very much needed.

15 pages, 7 figures

References in corpus (7)

• Status of Alpha-Particle Condensate Structure of the Hoyle State
• Triangular flow in heavy ion collisions in a multiphase transport model
• Evidence of Hexadecapole Deformation in Uranium-238 at the Relativistic Heavy Ion Collider
• Simplified modeling of cluster-shell competition in ${}^{20}$Ne and ${}^{24}$Mg
• Validation of the ${}^{10}\mathrm{Be}$ Ground-State Molecular Structure Using ${}^{10}\mathrm{Be}(p,p\alpha {)}^6\mathrm{He}$ Triple Differential Reaction Cross-Section Measurements
• Nonlocalized motion in two-dimensional container of $\alpha$ particles in $3^{-}$ and $4^{-}$ states of ${}^{12}$C
• Evolution of clustering structure through the momentum distributions in ${}^{8-10}$Be isotopes

Cited by in corpus (3)

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• Disentangling effects of nucleon size and nucleus structure in relativistic heavy-ion collisions
• A comparison study of collisions at relativistic energies involving light nuclei