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The alpha cluster states of 16C are investigated by using the antisymmetrized molecular dynamics. It is shown that two different types of alpha cluster states exist: triangular and linear-chain states. The former has an approximate…

Nuclear Theory · Physics 2015-06-23 T. Baba , Y. Chiba , M. Kimura

Studies of the 16O(9Be,alpha 7Be)14C, 7Li(9Be,alpha 7Li)5He and 7Li(9Be,alpha alpha t)5He reactions at E(beam)=70 and 55 MeV have been performed using resonant particle spectroscopy techniques. The 11C excited states decaying into…

The existence of the $0_3^+$ and $0_4^+$ states around 10 MeV excitation energy in ${^{12}{\rm C}}$ is confirmed by a fully microscopic 3$\alpha$ cluster model. Firstly, a GCM (generator coordinate method) calculation is performed by…

Nuclear Theory · Physics 2016-11-09 Bo Zhou , Akihiro Tohsaki , Hisashi Horiuchi , Zhongzhou Ren

We study structures of the $0^+$ states of $^{13}_\Lambda$C within the framework of $\alpha+\alpha+\alpha+\Lambda$ four-body orthogonality condition model with the Gaussian expansion method. We obtain five $0^+$ states of $^{13}_\Lambda$C…

Nuclear Theory · Physics 2023-02-01 Qian Wu , Yasuro Funaki , Xurong Chen

The 1/2$^-$ resonant states in $^{13}{\rm C}$ are investigated to search for the Hoyle-analog state. In order to treat the resonance states located around the 3$\alpha+n$ threshold, the analytic continuation in the coupling constant (ACCC)…

Nuclear Theory · Physics 2024-04-16 Seungheon Shin , Masaaki Kimura , Bo Zhou , Qing Zhao

Structures of excited states in $^{11}$B are investigated with a method of $\beta$-$\gamma$ constraint antisymmetrized molecular dynamics in combination with the generator coordinate method. Various excited states with developed cluster…

Nuclear Theory · Physics 2015-06-04 Tadahiro Suhara , Yoshiko Kanada-En'yo

We investigate the existence of weakly coupled gas-like states comprised of three $\alpha$ particles around an $^{16}$O core in $^{28}$Si. We calculate the excited states in $^{28}$Si using the multi-configuration mixing method based on the…

Nuclear Theory · Physics 2015-06-05 T. Ichikawa , N. Itagaki , Y. Kanada-En'yo , Tz. Kokalova , W. von Oertzen

Spectroscopic properties of low-lying states and cluster structures in $^{12}$C are analyzed in a "beyond mean-field framework" based on global energy density functionals (EDFs). To build symmetry-conserving collective states,…

Nuclear Theory · Physics 2019-03-20 Petar Marević , Jean-Paul Ebran , Elias Khan , Tamara Nikšić , Dario Vretenar

The existence of a higher nodal band state with a $^{3}$He cluster structure, i.e. a vibrational mode in which the inter-cluster relative motion is excited, in $^{19}$Ne in addition to those with the $\alpha$ cluster structure in $^{20}$Ne…

Nuclear Theory · Physics 2011-02-14 S. Ohkubo , Y. Hirabayashi

$^3$He+$^{12}$C scattering is studied in a coupled channel method by using a double folding model with microscopic wave functions of $^{12}$C. Experimental angular distributions in elastic and inelastic scattering to the $2^+$ (4.44 MeV),…

Nuclear Theory · Physics 2011-02-14 S. Ohkubo , Y. Hirabayashi

Knowledge of the low-lying monopole strength in $\mathrm{^{12}C}$ $-$ the Hoyle state in particular $-$ is crucial for our understanding of both the astrophysically important $3\alpha$ reaction and of $\alpha$-particle clustering. Multiple…

The present understanding of the structure of the Hoyle state in 12C is reviewed. Most of the theoretical approaches to the Hoyle state are shortly summarized. The corresponding results are analyzed with respect to whether they give…

Nuclear Theory · Physics 2017-03-08 Akihiro Tohsaki , Hisashi Horiuchi , Peter Schuck , Gerd Roepke

Cluster states in $^9$Li are investigated with calculations of a $^6$He-$t$ cluster model. Results suggest $^6$He-$t$ cluster states near the $^6$He-$t$ threshold energy. These states construct a $K^\pi=1/2^-$ band and their neutron…

Nuclear Theory · Physics 2015-05-30 Yoshiko Kanada-En'yo , Tadahiro Suhara

We have analyzed $^{3}$He scattering from $^{12}$C at 34.7 and 72 MeV in a coupled channel method with a double folding potential derived from the precise wave functions for the ground 0$^+$ state and $0_2^+$ (7.65 MeV) Hoyle state, which…

Nuclear Theory · Physics 2011-02-10 S. Ohkubo , Y. Hirabayashi

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…

Nuclear Theory · Physics 2011-03-10 Tadahiro Suhara , Yoshiko Kanada-En'yo

The near-threshold 12C (0^+_2) resonance provides unique possibility for fast helium burning in stars, as predicted by Hoyle to explain the observed abundance of elements in the Universe. Properties of this resonance are calculated within…

Nuclear Theory · Physics 2015-05-19 S. I. Fedotov , O. I. Kartavtsev , A. V. Malykh

To clarify the effects of $\alpha$-cluster breaking on 3$\alpha$ cluster structures in $^{12}$C, we investigate $^{12}$C using a hybrid model that combines the Brink-Bloch cluster model with the $p_{3/2}$ subshell closure wave function. We…

Nuclear Theory · Physics 2015-06-23 Tadahiro Suhara , Yoshiko Kanada-En'yo

We report an investigation of the structure of $^{12}$C nucleus employing a newly developed configuration-mixing method. In the three-dimensional coordinate-space representation, we generate a number of Slater determinants with various…

Nuclear Theory · Physics 2013-08-09 Y. Fukuoka , S. Shinohara , Y. Funaki , T. Nakatsukasa , K. Yabana

We searched for the $\alpha$ condensed state in $^{13}$C by measuring the $\alpha$ inelastic scattering at $E_{\alpha} = 388$ MeV at forward angles including 0 degrees. We performed the distorted-wave Born-approximation calculation with the…

The spatial structure of the lowest 0$_1^+$, 0$_2^+$, 2$_1^+$ and 2$_2^+$ states of the $^{12}$C nucleus is studied within the 3$\alpha$ model with the Buck, Friedrich, and Wheatley $\alpha \alpha$ potential with Pauli forbidden states in…

Nuclear Theory · Physics 2023-03-15 E. M. Tursunov , M. Z. Saidov , M. M. Begijonov