Shape of 13C studied by the real-time evolution method

Abstract

Background : Recently, Bijker et al. [Phys. Rev. Lett. 122, 162501 (2019)] explained the rotation-vibration spectrum of 13C by assuming triangular nuclear shape with D'3h symmetry. Purpose : The purpose of this work is to test the shape and symmetry of 13C based on a microscopic nuclear model without assumption of nuclear shape. Method : We have applied the real-time evolution method to 13C. By using the equation-of-motion of clusters, the model describes the 3alpha+n system without any assumption of symmetry. Results : REM described the low-lying states more accurately than the previous cluster model studies. The analysis of the wave functions showed that the ground band has approximate triangular symmetry, while the excited bands deviate from it. Conclusion : This work confirmed that the ground band has the intrinsic structure with the triangular arrangement of three alpha particles.

References in corpus (28)

• Quantum Monte Carlo methods for nuclear physics
• Alpha cluster condensation in 12C and 16O
• Ab initio calculation of the Hoyle state
• Structure and rotations of the Hoyle state
• Analysis of previous microscopic calculations for second $0^{+}$ state in ${}^{12}$C in terms of 3-alpha particle Bose-condensed state
• Structure of ground and excited states of ${}^{12}$C
• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Molecular-orbital structure in neutron-rich C isotopes
• Cluster states in nuclei as representations of a U(n+1) group
• Cluster structures of excited states in ${}^{14}$C
• Evidence for an alpha cluster condensed state in 16O(alpha,alpha') at 400 MeV
• Density Functional Theory studies of cluster states in nuclei
• Experimental investigation of a linear-chain structure in the nucleus 14C
• Positive-parity linear-chain molecular band in ${}^{16}$C
• Selective decay from a candidate of the $\sigma$-bond linear-chain state in ${}^{14}$C
• Alpha cluster structures and monopole excitations in ${}^{13}$C
• Breathing-like excited state of the Hoyle state in ${}^{12}\mathrm{C}$
• Cluster structure of light nuclei
• Structure and decay pattern of linear-chain state in 14C
• 3alpha clustering in the excited states of 16C
• Be-$\alpha$ correlations in the linear-chain structure of C isotopes
• Deformation and cluster structures in ${}^{12}$C studied with configuration mixing using Skyrme interactions
• Evidence for Triangular D'(3h) Symmetry in 13C
• Three-body decay of linear-chain states in ${}^{14}$C
• Cluster structures in ${}^{12}$C from global energy density functionals
• Hoyle-analogue state in 13C studied with Antisymmetrized Molecular Dynamics
• Real-time evolution method and its application to 3$\alpha$ cluster system
• Characteristic αand ^{6}He decays of the linear-chains in ^{16}C

Cited by in corpus (2)

• Microscopic calculations of 6He and 6Li with real-time evolution method
• The isoscalar monopole strength of 13C