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Lowest energy spectrum of the $^{12}$C nucleus is analyzed in the 3$\alpha$ cluster model with a deep $\alpha\alpha$-potential of Buck, Friedrich and Wheatley with Pauli forbidden states in the $S$ and $D$ waves. The direct…

Nuclear Theory · Physics 2022-04-19 E. M. Tursunov , I. Mazumdar

The $\alpha$-particle condensate in nuclei is a novel state described by a product state of $\alpha$'s, all with their c.o.m. in the lowest 0S orbit. We demonstrate that a typical $\alpha$-particle condensate is the Hoyle state…

Nuclear Theory · Physics 2015-05-27 T. Yamada , Y. Funaki , H. Horiuchi , G. Roepke , P. Schuck , A. Tohsaki

The complex optical potential and inelastic form factor given by the folding model for the $\alpha+^{12}$C scattering are used to calculate the ($\alpha,\alpha'$) cross sections for the known isoscalar states of $^{12}$C in an elaborate…

Nuclear Theory · Physics 2015-06-18 Do Cong Cuong , Dao T. Khoa , Yoshiko Kanada-En'yo

The fermionic molecular dynamics approach uses Gaussian wave packets as single-particle basis states. Many-body basis states are Slater determinants projected on parity, angular momentum and total linear momentum. The wave-packet basis is…

Nuclear Theory · Physics 2015-06-11 Thomas Neff

The $\alpha$ cluster states are discussed in a model frame of extended quantum molecular dynamics. Different alpha cluster structures are studied in details, such as $^8$Be two-$\alpha$ cluster structure, $^{12}$C triangle structure,…

Nuclear Theory · Physics 2016-07-13 W. B. He , Y. G. Ma , X. G. Cao , X. Z. Cai , G. Q. Zhang

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

Geometries and energies for H3+(H2)n clusters (n = 0, ..., 11) have been calculated using standard "ab initio" methods. Up to clusters with n = 6, four different Pople basis sets (DZ, TZ, TZP) have been used in the calculations. For larger…

Condensed Matter · Physics 2007-05-23 B. Diekmann , P. Borrmann , E. R. Hilf

We search for three-alpha resonances in C-12 by using the complex scaling method in a microscopic cluster model. All experimentally known low-lying natural-parity states are localized. For the first time we unambiguously show that the 0+_2…

Nuclear Theory · Physics 2009-10-30 R. Pichler , H. Oberhummer , Attila Csoto , S. A. Moszkowski

It is shown that the single $0^+$ THSR (Tohsaki-Horiuchi-Schuck-R\"{o}pke) wave function which is extended to include 2$\alpha$ correlation is almost completely equivalent to the 3$\alpha$ wave function obtained as the full solution of…

Nuclear Theory · Physics 2014-10-21 Bo Zhou , Yasuro Funaki , Akihiro Tohsaki , Hisashi Horiuchi , Zhongzhou Ren

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…

Coincidences between charged particles emitted in the $\beta$-decay of $^{11}$Li were observed using highly segmented detectors. The breakup channels involving three particles were studied in full kinematics allowing for the reconstruction…

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

The continuum of $^{10}$He nucleus is studied theoretically in a three-body $^{8}$He+$n$+$n$ model basing on the recent information concerning $^9$He spectrum [Golovkov, \textit{et al.}, Phys. Rev. C \textbf{76}, 021605(R) (2007)]. The…

Nuclear Theory · Physics 2013-05-29 L. V. Grigorenko , M. V. Zhukov

The second 2+ state of 12C, predicted over fifty years ago as an excitation of the Hoyle state, has been unambiguously identified using the 12C(g,a_0)8Be reaction. The alpha particles produced by the photodisintegration of 12C were detected…

The initial-state geometry in relativistic heavy-ion collisions provides a novel probe to nuclear cluster structure. For $^{20}$Ne, a novel approach is proposed to distinguish between the cluster configurations (5$\alpha$ versus $\alpha +…

Nuclear Theory · Physics 2026-03-03 Pei Li , Bo Zhou , Guo-Liang Ma

A multi-channel algebraic scattering (MCAS) method has been used to solve coupled sets of Lippmann-Schwinger equations for the $\alpha$+${}^6$He cluster system, so finding a model spectrum for ${}^{10}$Be to more than 10 MeV excitation.…

Nuclear Theory · Physics 2017-05-24 K. Amos , L. Canton , P. R. Fraser , S. Karataglidis , J. P. Svenne , D. van der Knijff

$^{6}$He+$t$ cluster states of exited $^{9}$Li have been measured by 32.7 MeV/nucleon $^{9}$Li beams bombarding on $^{208}$Pb target. Two resonant states are clearly observed with the excitation energies at 9.8 MeV and 12.6 MeV and…

By using the method of hyperspherical functions within the appropriate for this method $K_{\min}$ approximation, the simple three-cluster model for description of the ground state and the continuous spectrum states of \6He is developed. It…

Nuclear Theory · Physics 2007-05-23 G. F. Filippov , I. Yu. Rybkin , S. V. Korennov

In this work we study alpha-clustering in 18Ne and compare it with what is known about clustering in the mirror nucleus 18O. The excitation function of 18Ne was measured in inverse kinematics from the resonant elastic scattering reaction of…

The study of inelastic scattering and multi-nucleon transfer reactions was performed by bombarding a $^{9}$Be target with a $^3$He beam at an incident energy of 30 MeV. Angular distributions for $^9$Be($^3$He,$^3$He)$^{9}$Be,…

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