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Related papers: Multi-cluster dynamics in $^{13}_\Lambda{\rm C}$ a…

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Background: $\alpha+{^{12}{\rm C}}$ clustering in $^{16}{\rm O}$ has been of historical importance in nuclear clustering. In the last 15 years the $4\alpha$ condensate state has been proposed as a new-type cluster state. Purpose: The aim is…

Nuclear Theory · Physics 2018-02-28 Y. Funaki

We perform a coupled-channels study of the low-lying states in $^{13,15,17,19}_{~~~~~~~~~~~~~~~~~~~~~\Lambda}$C with a covariant energy density functional based microscopic particle-core coupling model. The energy differences of $1/2^-$ and…

Nuclear Theory · Physics 2017-05-16 H. Xia , H. Mei , J. M. Yao

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

Certain aspects of the recently proposed antisymmetrised alpha particle product state wave function, or THSR alpha cluster wave function, for the description of the ground state in 8Be, the Hoyle state in 12C, and analogous states in…

Nuclear Theory · Physics 2015-05-14 Y. Funaki , H. Horiuchi , W. von Oertzen , G. Roepke , P. Schuck , A. Tohsaki , T. Yamada

We investigate properties of bound and resonance states in the $_{\Lambda}^{9}$Be nucleus. To reveal the nature of these states, we use a three-cluster $2\alpha+\Lambda$ microscopic model. The model incorporates Gaussian and oscillator…

Nuclear Theory · Physics 2021-04-22 Yu. A. Lashko , A. V. Nesterov , V. S. Vasilevsky

The structure of $3/2^{-}$ and $1/2^{+}$ states in $^{11}$B is investigated with an $\alpha+\alpha+t$ orthogonality condition model (OCM) based on the Gaussian expansion method. Full levels up to the $3/2^{-}_{3}$ and $1/2^{+}_2$ states…

Nuclear Theory · Physics 2011-01-28 Taiichi Yamada , Yasuro Funaki

The Hoyle state and other resonances in the continuum above the 3 alpha threshold in 12C are studied in a microscopic cluster model. Whereas the Hoyle state is a very sharp resonance and can be treated reasonably well in bound state…

Nuclear Theory · Physics 2015-06-22 Thomas Neff , Hans Feldmeier

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

We investigate the hypernuclear cluster states of $_\Lambda^{12}\mathrm{B}$ using a neural-network-driven microscopic model. We extend the Control Neural Networks (Ctrl.NN) method and systematically calculate the positive-parity spectrum of…

This article comprises three sections. Section 2 starts with a review of ab initio no-core shell model calculations by Monte Carlo Shell Model. Alpha clustering arises for 8,10,12Be and 12C with Daejeon16 and JISP16 interactions, even in…

Nuclear Theory · Physics 2026-04-09 Takaharu Otsuka , Alexander Volya , Naoyuki Itagaki

The wave function of the second $0^+$ state of $^{12}$C which was obtained long time ago by solving the microscopic 3$\alpha$ problem is shown to be almost completely equivalent to the wave function of the 3$\alpha$ condensed state which…

Nuclear Theory · Physics 2009-11-10 Y. Funaki , A. Tohsaki , H. Horiuchi , P. Schuck , G. Röpke

We investigate the cluster structure of $\rm {}^{13}N$ using a microscopic $\alpha+\alpha+\alpha+p$ four-body cluster model. The calculated spectra agree well with the observed spectra in the low-lying states. We calculate the reduced width…

Nuclear Theory · Physics 2025-01-31 Ying-Yu Cao , De-Ye Tao , Bo Zhou , Yu-Gang Ma

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

We present a detailed formalism of the microscopic particle-rotor model for hypernuclear low-lying states based on a covariant density functional theory. In this method, the hypernuclear states are constructed by coupling a hyperon to…

Nuclear Theory · Physics 2015-04-21 H. Mei , K. Hagino , J. M. Yao , T. Motoba

The structure of bound and resonance states of the hypernucleus $_{\Lambda}^{7}$Li is studied within a three-cluster model. This nucleus is considered a three-cluster structure consisting of $^{4}$He, a deuteron, and a lambda hyperon. The…

Nuclear Theory · Physics 2025-08-20 N. K. Kalzhigitov , S. Amangeldinova , V. S. Vasilevsky

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

In this article we review the present status of alpha clustering in nuclear systems. First of all, an important aspect is condensation in nuclear matter. Second, the alpha container model, recently been proposed by…

Nuclear Theory · Physics 2017-02-15 Peter Schuck , Yasuro Funaki , Hisashi Horiuchi , Gerd Roepke , Akihiro Tohsaki , Taiichi Yamada

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

We investigate resonance states in three-cluster continuum of some light nuclei $^{9}$Be, $^{9}$B, $^{10}$B, $^{11}$B and $^{11}$C. These nuclei are considered to have a three-cluster configuration consisting of two alpha-particles and…

Nuclear Theory · Physics 2018-09-12 V. S. Vasilevsky , K. Katō , N. Takibayev

$0s$-orbit $\Lambda$ states in $p$-shell double-$\Lambda$ hypernuclei ($^{\ \,A}_{\Lambda\Lambda}Z$), $^{\ \,8}_{\Lambda\Lambda}\textrm{Li}$, $^{\ \,9}_{\Lambda\Lambda}\textrm{Li}$, $^{10,11,12}_{\ \ \ \ \ \Lambda\Lambda}\textrm{Be}$,…

Nuclear Theory · Physics 2018-04-04 Yoshiko Kanada-En'yo