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We study the shell and alpha cluster structures in the ground and excited states of 8Be in terms of the tensor-optimized shell model (TOSM). In TOSM, the tensor correlation is optimized in the full space of 2p2h configurations involving…

Nuclear Theory · Physics 2014-10-21 Takayuki Myo , Atsushi Umeya , Kaori Horii , Hiroshi Toki , Kiyomi Ikeda

The excited state of the 12C nucleus known as the "Hoyle state" constitutes one of the most interesting, difficult and timely challenges in nuclear physics, as it plays a key role in the production of carbon via fusion of three alpha…

Nuclear Theory · Physics 2012-12-20 Evgeny Epelbaum , Hermann Krebs , Timo Lähde , Dean Lee , Ulf-G. Meißner

The antisymmetrized quasi-cluster model (AQCM) was proposed to describe {\alpha}-cluster and $jj$-coupling shell models on the same footing. In this model, the cluster-shell transition is characterized by two parameters; $R$ representing…

Nuclear Theory · Physics 2017-07-14 H. Matsuno , N. Itagaki

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

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

Geometric configurations of three-$\alpha$ particles in the ground- and first-excited $J^\pi=0^+$ states of $^{12}$C are discussed within two types of $\alpha$-cluster models which treat the Pauli principle differently. Though there are…

Nuclear Theory · Physics 2021-07-21 H. Moriya , W. Horiuchi , J. Casal , L. Fortunato

Observed well-developed $\alpha$ cluster states in $^{16}$O, located above the four $\alpha$ threshold, are investigated from the viewpoint of Bose-Einstein condensation of $\alpha$ clusters by using a field-theoretical superfluid cluster…

Nuclear Theory · Physics 2019-04-19 Junichi Takahashi , Yoshiya Yamanaka , Shigeru Ohkubo

A systematic analysis of the $\alpha$ + core structure is performed in the ground state bands of even-even nuclei of the $22 \leq Z \leq 42$ region in terms of the Local Potential Model. The $\alpha$ + core interaction is described by the…

Nuclear Theory · Physics 2021-12-15 M. A. Souza , H. Miyake

We have examined the hypothesis by Bijker and Iachello who asserted that 12C has an internal structure with three alpha particles arranged in a triangular shape, leading to the formation of the ground rotational band consisting of 0+, 2+,…

Nuclear Theory · Physics 2024-04-02 Masaaki Kimura , Yasutaka Taniguchi

The structures of the ground and excited states of Be-11 were studied with a microscopic method of antisymmetrized molecular dynamics. The theoretical results reproduce the abnormal parity of the ground state and predict various kinds of…

Nuclear Theory · Physics 2009-11-07 Y. Kanada-En'yo , H. Horiuchi

A cluster-transfer experiment of $^9\rm{Be}(^9\rm{Be},^{14}\rm{C}\rightarrow\alpha+^{10}\rm{Be})\alpha$ at an incident energy of 45 MeV was carried out in order to investigate the molecular structure in high-lying resonant states in…

We investigated cluster and toroidal aspects of isoscalar dipole excitations in $^{12}$C based on the shifted basis antisymmetrized molecular dynamics combined with the generator coordinate method, which can describes 1p-1h excitations and…

Nuclear Theory · Physics 2018-01-10 Yoshiko Kanada-En'yo , Yuki Shikata , Horiyuki Morita

An approximate but straight forward projection method to molecular many alpha-particle states is proposed and the overlap to the shell model space is determined. The resulting space is in accordance with the shell model, but still contains…

Nuclear Theory · Physics 2021-10-13 J. R. M. Berriel-Aguayo , P. O. Hess

Description of a nuclear system in its ground state and at low excitations based on the equation of state (EoS) around normal density is presented. In the expansion of the EoS around the saturation point additional spin polarization terms…

For more than half a century, the structure of $^{12}$C, such as the ground band, has been understood to be well described by the three $\alpha$ cluster model based on a geometrical crystalline picture. On the contrary, recently it has been…

Nuclear Theory · Physics 2020-05-04 S. Ohkubo , J. Takahashi , Y. Yamanaka

We describe the excited 0+ state of 12C at 7.654 MeV, often called the Hoyle state, in terms of a local potential 8Be+alpha cluster model. We use a previously published prescription for the cluster-core potential to solve the Schroedinger…

Nuclear Theory · Physics 2015-06-11 B. Buck , A. C. Merchant , S. M. Perez

We study the cluster structure of $^{12}$C and $^{13}$C in the framework of the cluster shell model. Simple relations are derived for ratios of longitudinal form factors as well as transition probabilities. It is shown that the available…

Nuclear Theory · Physics 2023-09-29 A. H. Santana-Valdés , R. Bijker

We study the resonance spectroscopy of 7He in the 4He+n+n+n cluster model, where the motion of valence neutrons is described in the cluster orbital shell model. Many-body resonances are treated on the correct boundary condition as the Gamow…

Nuclear Theory · Physics 2008-11-26 Takayuki Myo , Kiyoshi Kato , Kiyomi Ikeda

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

We study low-lying states of even carbon isotopes in the range A = 10 - 20 within the large- scale no-core shell model (NCSM). Using several accurate nucleon-nucleon (NN) as well as NN plus three-nucleon (NNN) interactions, we calculate…

Nuclear Theory · Physics 2013-04-01 Christian Forssén , Robert Roth , Petr Navrátil
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