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The algebraic molecular model is used in $^{12}$C to construct densities and transition densities connecting low-lying states of the rotovibrational spectrum, first and foremost those belonging to the rotational bands based on the ground…

Nuclear Theory · Physics 2019-09-12 A. Vitturi , J. Casal , L. Fortunato , E. G. Lanza

The fragmentation of quasi-projectiles from the nuclear reaction $^{40}Ca$ + $^{12}C$ at 25 MeV/nucleon was used to produce excited states candidates to $\alpha$-particle condensation. The experiment was performed at LNS-Catania using the…

$\alpha$+$\alpha$ scattering has a long history since the first experiment by Rutherford and Chadwick in 1927 and has been studied thoroughly experimentally and theoretically. However, $\alpha$+$\alpha$ scattering has never been paid…

Nuclear Theory · Physics 2024-04-02 S. Ohkubo

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

Inelastic $^{16}$O +$^{12}$C rainbow scattering to the $2^+$ (4.44 MeV) state of $^{12}$C was measured at the incident energies, $E_L$ = 170, 181, 200, 260 and 281 MeV. A systematic analysis of the experimental angular distributions was…

Nuclear Theory · Physics 2014-12-24 S. Ohkubo , Y. Hirabayashi , A. A. Ogloblin , Yu. A. Gloukhov , A. S. Dem'yanova , W. H. Trzaska

The fusion of $\alpha$ and $^8$Be to produce a $^{12}$C nucleus is a crucial process in nucleosynthesis. In the laboratory, this process can only be studied theoretically as a $^8$Be target or projectile cannot be prepared experimentally.…

Nuclear Theory · Physics 2026-03-31 Teck-Ghee Lee , Orhan Bayrak , Cheuk-Yin Wong

In order to discuss the spatial extention of the second 0+ state of 12C (Hoyle state), we analyze the inelastic form factor of electron scattering to the Hoyle state, which our 3 alpha condensate wave function reproduces very well like…

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

Selected topics on halo and molecular states in light, neutron-rich nuclei are discussed. In particular, work on $x\alpha$:X$n$ structures is briefly reviewed. The use of proton radiative capture as a probe of clustering is also presented…

Nuclear Experiment · Physics 2017-08-23 N. A. Orr

Nucleonic matter displays a quantum liquid structure, but in some cases finite nuclei behave like molecules composed of clusters of protons and neutrons. Clustering is a recurrent feature in light nuclei, from beryllium to nickel. For…

Nuclear Theory · Physics 2015-06-04 J. -P Ebran , E. Khan , T. Niksic , D. Vretenar

From the viewpoint of a unified description of cluster structure and scattering in the A=90 region, $\alpha$ scattering from $^{89}$Y is investigated. $\alpha$ clustering and weak coupling in $^{93}$Nb is discussed.

Nuclear Theory · Physics 2015-05-27 S. Ohkubo

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

A quantitative and predictive microscopic theoretical framework that can describe reactions induced by $\alpha$ particles ($^4$He nuclei) and heavier projectiles is currently lacking. Such a framework would contribute to reducing…

Nuclear Theory · Physics 2020-12-02 Konstantinos Kravvaris , Sofia Quaglioni , Guillaume Hupin , Petr Navratil

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

We theoretically investigate quasiparticle properties of a neutron immersed in an alpha condensate, which is one of the possible states of dilute symmetric nuclear matter. The resonant $p$-wave neutron-alpha scattering, which plays a…

Nuclear Theory · Physics 2025-02-07 Hiroyuki Tajima , Hajime Moriya , Tomoya Naito , Wataru Horiuchi , Eiji Nakano , Kei Iida

We employ the constrained density functional theory to investigate cluster phenomena for the $^{12}$C nucleus. The proton and neutron densities are generated from the placement of three $^{4}$He nuclei (alpha particles) geometrically. These…

Nuclear Theory · Physics 2023-06-28 A. S. Umar , K. Godbey , C. Simenel

This article provides a concise review of selected topics in the many-body physics of low density nuclear systems. The discussion includes the condensation of alpha particles in supernova envelopes, formation of three-body bound states and…

Nuclear Theory · Physics 2017-08-23 Armen Sedrakian , John W. Clark

The existence of a secondary bow is confirmed for 13C+12C nuclear rainbow scattering in addition to the 16O+12C system. This is found by studying the experimental angular distribution of 13C+12C scattering at the incident 13C energy…

Nuclear Theory · Physics 2015-11-26 S. Ohkubo , Y. Hirabayashi , A. A. Ogloblin

It is suggested that direct evidence of Bose-Einstein condensation of alpha particles is obtained by observing a phase mode (Nambu-Goldstone boson) with long wavelength even when characteristic features such as superfluidity is diffucult to…

Nuclear Theory · Physics 2013-02-01 S. Ohkubo

The existence of a higher nodal band state with a $^{3}$He cluster structure, i.e. a vibrational mode in which the inter-cluster relative motion is excited, in $^{19}$Ne in addition to those with the $\alpha$ cluster structure in $^{20}$Ne…

Nuclear Theory · Physics 2011-02-14 S. Ohkubo , Y. Hirabayashi

Knowledge on nuclear cluster physics has increased considerably since the pioneering discovery of 12C+12C resonances half a century ago and nuclear clustering remains one of the most fruitful domains of nuclear physics, facing some of the…

Nuclear Experiment · Physics 2017-11-08 C. Beck