Shape of C13 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 13 C by assuming a triangular nuclear shape with D 3h symmetry. Purpose: The purpose of this work is to test the shape and symmetry of 13 C based on a microscopic nuclear model without assumption of nuclear shape. Method: We have applied the real-time evolution method to 13 C. By using the equation-of-motion of clusters, the model describes the 3α + 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 α particles.

The isoscalar monopole strength of 13C

“…Figure 1 shows the calculated and observed spectra of the 1/2 ± , 3/2 ± and 5/2 ± states, which is essentially same with that discussed in our previous work [22].…”

“…The Hamiltonian and the theoretical framework used in this work are essentially same with those in Ref. [22]. The Hamiltonian is given as,…”

“…It was demonstrated that the model precisely describes the Hoyle state (3α BEC). Furthermore, the model has also been applied to the low-lying states 13 C to investigate the underlying symmetry of the nuclear shape [22]. Therefore, it is natural to extend the discussion to the highly excited states of 13 C to search for the Hoyleanalog state (3α BEC plus an excess neutron).…”