The structure of 0+ states in 16O using real-time evolution method

Hideaki Motoki,Masaaki Kimura,W Liu,Y Wang,S Zeng,B Guo,X Tang

doi:10.1051/epjconf/202226011019

Abstract

α + 12C clustering in 16O has been vigorously studied. In the 2000s, a new picture was proposed that the Hoyle state, $^{12}{\rm{C(0}}_2^ + {\rm{)}}$, is a Bose-Einstein condensate of three α particles by the so-called THSR framework. As a next step, many researchers are interested in 4α condensate state in 16O. In this work, a microscopic calculation named the real-time evolution method (REM) was first applied to a 4α system. As a result, the 0+ states in 16O up to 4α condensate state were expected to be reproduced simultaneously for the first time.

Highlights

At the beginning of this century, a new picture was proposed that the Hoyle state is regarded as the Bose-Einstein condensate of three α particles
The 0+6 state was theoretically concluded as a candidate of the 4α condensate [1, 2]. The former treats an α particle as a boson and the latter imposes the restrictions on the symmetry of the system resulting in the lack of 0+5 state in the 4α Orthogonality Condition Model (OCM)
As for the bound states, 0+1 and 0+2, the energies are slightly lower than that of the extended Tohsaki-Horiuchi-Schuck-Röpke (eTHSR) reflecting the size of model space

Summary

Introduction

At the beginning of this century, a new picture was proposed that the Hoyle state is regarded as the Bose-Einstein condensate of three α particles. Several works for 16O, 4α Orthogonality Condition Model (OCM) [1], and extended Tohsaki-Horiuchi-Schuck-Röpke (eTHSR) [2] have been performed. In these studies, the 0+6 state was theoretically concluded as a candidate of the 4α condensate [1, 2]. The 0+6 state was theoretically concluded as a candidate of the 4α condensate [1, 2] The former treats an α particle as a boson and the latter imposes the restrictions on the symmetry of the system resulting in the lack of 0+5 state in the 4α OCM. We employ a microscopic model, REM [3]

Theoretical Framework

Results

Summary