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α Cluster Structure and Resonance States of 13C

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Please use this identifier to cite or link to this item:https://doi.org/10.14943/doctoral.k15277
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Title: α Cluster Structure and Resonance States of 13C
Other Titles: 炭素13のアルファクラスター構造と共鳴状態
Authors: 申, 承憲 Browse this author
Issue Date: 23-Mar-2023
Publisher: Hokkaido University
Abstract: Carbon isotopes have attracted great interest and have been important subjects in nuclear physics as they exhibit a rich variety of cluster phenomena. The Hoyle state, the 0+2 state of 12C, has a very interesting clustering aspect; Bose-Einstein condensate (BEC) of the three α particles. In the recent two decades, the structure of the Hoyle state and its analogous states in neighboring nuclei have been a major topic. 13C is one of the particularly important nuclei as the system can be described as three α particles (bosons) with a valence nucleon (fermion). The BEC of the three α particles with a neutron as an impurity, which is referred to as the Hoyleanalog state, and the predominant α cluster states in 13C are the main interests. For example, 13C as the 3α+n system exhibits the evidence of the triangular symmetry of the 3α particles with the spinor effect accompanied by the valence neutron, in which the triangular symmetry successfully predicted rotational bands and excited states in 12C.In my thesis, the band structures and resonance states of 13C are studied. The real-time evolution method (REM), which uses the equation-of-motion of clusters, has been applied. First, the symmetry of 13C is investigated in comparison with the study by Bijker et al. [Phys. Rev. Lett. 122, 162501 (2019)], which explained the rotation-vibration spectrum of 13C by assuming a triangular nuclear shape of 3α particles with a neutron. REM is a full microscopic nuclear model that does not assume any nuclear shape. As a result, REM described the low-lying states more accurately than the previous studies. The wave functions are analyzed to understand the shape of each state and showed that the ground band has a triangular symmetry, while the other excited bands do not. In subsequent, the Hoyle-analog state in 13C, the three α plus one neutron condensate, is investigated. It is still under debate which state is the Hoyle-analog state in 13C. Several experimental studies showed that the 1/2− states exhibit strong cluster aspects that can be the Hoyle-analog state, while other theoretical studies concluded that there is no Hoyle-analog state in the 1/2− states. In order to figure out the Hoyle-analog state and deal with the resonance states located around the 3α +n threshold, the analytic continuation in the coupling constant (ACCC) is introduced. ACCC with REM properly estimated the resonance states of the 1/2−states together with their characteristics such as the radii and monopole transition probabilities. This study suggests that the 1/2−4 state can be the possible candidate for the Hoyle-analog state in 13C revealing large spatial excitation and transition strength as the signature of the Hoyle state.
Conffering University: 北海道大学
Degree Report Number: 甲第15277号
Degree Level: 博士
Degree Discipline: 理学
Examination Committee Members: (主査) 教授 木村 真明, 教授 小林 達夫, 准教授 平林 義治, 客員准教授 堀内 渉
Degree Affiliation: 理学院(宇宙理学専攻)
Type: theses (doctoral)
URI: http://hdl.handle.net/2115/89533
Appears in Collections:課程博士 (Doctorate by way of Advanced Course) > 理学院(Graduate School of Science)
学位論文 (Theses) > 博士 (理学)

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