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We present a detailed discussion of the structure of the low-lying positive-parity energy spectrum of $^{12}$C from a no-core shell-model perspective. The approach utilizes a fraction of the usual shell-model space and extends its…

Nuclear Theory · Physics 2017-04-19 A. C. Dreyfuss , K. D. Launey , T. Dytrych , J. P. Draayer , R. B. Baker , C. M. Deibel , C. Bahri

Cluster structures and monopole transitions in positive parity states of $^{16}$O were investigated based on the generator coordinate method calculation of an extended $^{12}$C+$\alpha$ cluster model. The ground and excited states of a…

Nuclear Theory · Physics 2015-06-16 Yoshiko Kanada-En'yo

The existence of a rotational band with the $\alpha$+$^{12}$C($0_2^+$) cluster structure, in which three $\alpha$ particles in $^{12}$C($0_2^+$) are locally condensed, is demonstrated near the four-$\alpha$ threshold of $^{16}$O in…

Nuclear Theory · Physics 2015-03-18 S. Ohkubo , Y. Hirabayashi

In order to study non-zero spin excitations of the recently proposed alpha-cluster condensation in the self-conjugate 4n nuclei, spatial deformation is introduced into the model wave function of the alpha-cluster condensate. The rotational…

Nuclear Theory · Physics 2009-11-07 Yasuro Funaki , Hisashi Horiuchi , Akihiro Tohsaki , Peter Schuck , Gerd Röpke

Aspects of nuclear structure in alpha-conjugate nuclei have long been associated with alpha clustering, including the existence of superdeformed bands. In this paper, an alpha-particle inelastic scattering experiment investigating the…

The structure of neutron-rich $\Lambda$ hypernucleus, $^7_{\Lambda}$He is studied within the framework of an $\alpha +\Lambda +n+n$ four-body cluster model. We predict second $3/2^+$ and $5/2^+$ states, corresponding to a $0s$ $\Lambda$…

Nuclear Theory · Physics 2015-06-11 E. Hiyama , M. Isaka , M. Kamimura , T. Myo , T. Motoba

The energy spectrum of the $^{12}C$ nucleus with $(J^{\pi}, T)=(0^+,0)$ and $(2^+,0)$ is investigated in the framework of the multicluster dynamical model by using a deep $\alpha \alpha$-potential with forbidden states in the S and D waves.…

Nuclear Theory · Physics 2008-11-26 E. M. Tursunov

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

3$\alpha$-cluster structures and monopole transitions of $0^+$ states in $^{12}$C and $^{14}$C were investigated with $3\alpha$- and $^{10}$Be+$\alpha$-cluster models. A gas-like $3\alpha$ state and a bending-chain $3\alpha$ state were…

Nuclear Theory · Physics 2016-09-07 Yuta Yoshida , Yoshiko Kanada-En'yo

$^3$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

The 2$\alpha+t$ cluster structure in $^{11}$B is investigated by the microscopic generator coordinate method (GCM) with the Brink cluster wave functions. With a proper choice of the parameters of the effective interaction, the calculated…

Nuclear Theory · Physics 2018-12-05 Bo Zhou , Masaaki Kimura

Our present understanding of the structure of the Hoyle state in $^{12}$C and other near-threshold states in $\alpha$-conjugate nuclei is reviewed in the framework of the $\alpha$-condensate model. The $^{12}$C Hoyle state, in particular,…

Nuclear Experiment · Physics 2020-05-20 R. Smith , J. Bishop , J. Hirst , Tz. Kokalova , C. Wheldon

The structures of the ground and excited states of 12Be were studied with antisymmetrized molecular dynamics. The ground state was found to be a state with a developed 2-alpha core with two neutrons occupying the intruder orbits. The energy…

Nuclear Theory · Physics 2009-11-10 Yoshiko Kanada-En'yo , Hisashi Horiuchi

Form factors for $\alpha+{^{12}}$C inelastic scattering are obtained within two theoretical ($\alpha+\alpha+\alpha$) approaches: The hyperspherical framework for three identical bosons, and the algebraic cluster model assuming the $D_{3h}$…

Nuclear Theory · Physics 2019-12-12 J. Casal , L. Fortunato , A. Vitturi , E. G. Lanza

A five-body calculation of $^{12}$C+$n$+$n$+$p$+$p$ is performed to take a step towards solving an outstanding problem in nuclear theory: The simultaneous and accurate description of the ground and first excited 0$^+$ states of $^{16}$O.…

Nuclear Theory · Physics 2015-06-18 W. Horiuchi , Y. Suzuki

Cluster structures of excited $^{10}$Be states are investigated with a hybrid model of dineutron condensate wave functions and $^6$He+$\alpha$ cluster wave functions. Two kinds of cluster states are theoretically suggested a few MeV above…

Nuclear Theory · Physics 2015-06-11 Fumiharu Kobayashi , Yoshiko Kanada-En'yo

We have investigated structures of the ground and excited states of $^{16}\textrm{O}$ with the method of variation after spin-parity projection in the antisymmetrized molecular dynamics model combined with the generator coordinate method of…

Nuclear Theory · Physics 2017-09-13 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

The persistence of $\alpha+\alpha+t$ cluster configuration in the ground state of $^{11}$B is discussed. The $\alpha$ particles emitted from excited states of $^{12}$C could be utilized for cancer treatment, where the cluster states are…

Nuclear Theory · Physics 2022-02-16 Naoyuki Itagaki , Tomoya Naito , Yuichi Hirata

I investigate $^{10}$B+$\alpha$ cluster states of $^{14}$N with a $^{10}$B+$\alpha$ cluster model. Near the $\alpha$-decay threshold energy, I obtain $K^\pi=3^+$ and $K^\pi=1^+$ rotational bands having $^{10}$B($3^+$)+$\alpha$ and…

Nuclear Theory · Physics 2016-01-20 Yoshiko Kanada-En'yo