Static and Dynamic Chain Structures in the Mean-Field Theory

TL;DR

This paper explores the stability and formation of alpha-cluster chain structures in light nuclei using mean-field Hartree-Fock models, revealing new shape transitions and stabilization phenomena in nuclear collisions.

Contribution

It introduces a detailed analysis of alpha-chain structures in nuclei, highlighting new shape transitions and stabilization effects in dynamic nuclear processes.

Findings

Discovered a new shape transition in nuclear collisions.

Identified centrifugal stabilization of the 4-alpha chain at specific angular momenta.

No stabilization observed for the 3-alpha chain.

Abstract

We give a brief overview of recent work examining the presence of $\alpha$-clusters in light nuclei within the Skyrme-force Hartree-Fock model. Of special significance are investigations into $\alpha$-chain structures in carbon isotopes and $^{16}$O. Their stability and possible role in fusion reactions are examined in static and time-dependent Hartree-Fock calculations. We find a new type of shape transition in collisions and a centrifugal stabilization of the $4\alpha$ chain state in a limited range of angular momenta. No stabilization is found for the $3\alpha$ chain.