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Recently, we have determined surface distributions of $\alpha$ clusters in the ground state of $^{20}\mathrm{Ne}$ from $\alpha$-transfer cross sections, without investigating the properties of its excited states. In this paper we extend our…

The $0^{+}$ states of $^{12}\mathrm{C}$ are considered within the framework of the microscopic three-$\alpha$-cluster model. The main attention is paid to accurate calculation of the width of the extremely narrow near-threshold $0^+_2$…

Nuclear Theory · Physics 2009-11-10 S. I. Fedotov , O. I. Kartavtsev , V. I. Kochkin , A. V. Malykh

We investigate the structures of $^{20}$Ne in the variation of the multiple bases of the antisymmetrized molecular dynamics (AMD). In this method, the multiple AMD bases are superposed and optimized simultaneously in the total-energy…

We present ab initio lattice calculations of the low-energy even-parity states of $^{16}$O using chiral nuclear effective field theory. We find good agreement with the empirical energy spectrum, and with the electromagnetic properties and…

Nuclear Theory · Physics 2014-03-14 Evgeny Epelbaum , Hermann Krebs , Timo A. Lähde , Dean Lee , Ulf-G. Meißner , Gautam Rupak

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

The structures of excited states in $^{34}$S are investigated using the antisymmetrized molecular dynamics and generator coordinate method (GCM). The GCM basis wave functions are calculated via energy variation with a constraint on the…

Nuclear Theory · Physics 2015-06-22 Yasutaka Taniguchi

We study 4$\alpha$ linear-chain states in 16O in comparison with 3$\alpha$ states in 12C by using the Generator Coordinate Method within a microscopic $N\alpha$-cluster model. It is shown to be very important to solve relative motion of…

Nuclear Theory · Physics 2007-05-23 Naoyuki Itagaki , Akira Ohnishi , Kiyoshi Kato

The cluster structures of the excited states in $^{11}$B are studied by analyzing the isoscalar monopole and quadrupole strengths in the $^{11}$B($d$,$d'$) reaction at $E_d=200$ MeV. The excitation strengths are compared with the…

A study of 4$\alpha$ linear-chain structure in high-lying collective excitation states of $^{16}$O with a covariant density functional theory is presented. The low-spin states are obtained by configuration mixing of particle-number and…

Nuclear Theory · Physics 2014-11-18 J. M. Yao , N. Itagaki , J. Meng

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

${}^{12}{\rm C}$ and ${}^{16}{\rm O}$ nuclei represent essential elements for life on Earth. The study of their formation plays a key role in understanding heavy element nucleosynthesis and stellar evolution. In this paper we present the…

Nuclear Theory · Physics 2025-01-28 E. Filandri , M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci

We study the $\alpha + \alpha + {}^{3}$He cluster structure of ${}^{11}$C within the microscopic cluster model. The calculations essentially reproduce the energy spectra for both negative and positive parity states, particularly the…

Nuclear Theory · Physics 2025-02-12 Ying-Yu Cao , De-Ye Tao , Bo Zhou , Yu-Gang Ma

We calculate the low-lying spectrum of the $^{16}$O nucleus using an $\alpha$-cluster model which includes the important tetrahedral and square configurations. Our approach is motivated by the dynamics of $\alpha$-particle scattering in the…

Nuclear Theory · Physics 2017-03-15 C. J. Halcrow , C. King , N. S. Manton

More than 100 excited states of the Calcium-40 nucleus, with isospin 0, are classified into rotational-vibrational bands of an intrinsic tetrahedral structure. Almost all observed states below 8 MeV can be accommodated, as well as many…

Nuclear Theory · Physics 2020-07-15 N. S. Manton

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

We have studied positive-parity states of $^{28}$Si using antisymmetrized molecular dynamics (AMD) and multi-configuration mixing (MCM) with constrained variation. Applying constraints to the cluster distance and the quadrupole deformation…

Nuclear Theory · Physics 2009-10-29 Yasutaka Taniguchi , Yoshiko Kanada-En'yo , Masaaki Kimura

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

Background: A recent inelastic alpha-scattering experiment [Phys. Rev. Lett. 129, 102701 (2022)] found $0^+$ resonances in $^{24}$Mg on and above the $^{12}$C+$^{12}$C break-up threshold. It has been conjectured that the states have a…

Nuclear Theory · Physics 2023-12-14 J. Cseh , G. Riczu , D. G. Jenkins

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

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