Cluster structures of excited states in $^{14}$C

TL;DR

This study explores the cluster structures of excited states in carbon-14 using advanced computational methods, revealing diverse configurations including linear chains and correlations with beryllium-10 plus alpha particles.

Contribution

It introduces a combined $eta$-$ ext{} ext{-} ext{gamma}$ constraint antisymmetrized molecular dynamics approach to analyze excited states in $^{14}$C, uncovering new cluster configurations.

Findings

Identification of triaxial and linear-chain structures in positive-parity states.

Discovery of $^{10}$Be+$ ext{} ext{-} ext{} ext{alpha}$ correlations in excited states.

Prediction of various developed $3 ext{alpha}$-cluster core structures.

Abstract

Structures of excited states in $^{14}$C are investigated with a method of $\beta$-$\gamma$ constraint antisymmetrized molecular dynamics in combination with the generator coordinate method. Various excited states with the developed $3\alpha$-cluster core structures are suggested in positive- and negative-parity states. In the positive-parity states, triaxial deformed and linear-chain structures are found to construct excited bands. Interestingly, $^{10}$Be+$\alpha$ correlation is found in the cluster states above the $^{10}$Be+$\alpha$ threshold energy.