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We discuss the geometry of the highly quantal nuclear three-body systems composed of a core plus two loosely bound particles. These Borromean nuclei have no single bound two-body subsystem. Correlation plays a prominent role. From…

Nuclear Theory · Physics 2008-11-26 C. A. Bertulani , M. S. Hussein

The onset of quartetting, i.e. alpha-particle condensation, in symmetric nuclear matter is studied with the help of an in-medium modified four nucleon equation. It is found that at very low density quartetting wins over pairing, because of…

Nuclear Theory · Physics 2008-09-04 Y. Funaki , T. Yamada , H. Horiuchi , G. Röpke , P. Schuck , A. Tohsaki

Three-body clusters are studied in the algebraic cluster model. Particular attention is paid to the case of three identical particles. It is shown in a geometrical analysis that the harmonic oscillator, the deformed oscillator and the…

Nuclear Theory · Physics 2007-05-23 R. Bijker

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

The interpretation of the emergent collective behaviour of atomic nuclei in terms of deformed intrinsic shapes [1] is at the heart of our understanding of the rich phenomenology of their structure, ranging from nuclear energy to…

Nuclear Theory · Physics 2022-02-25 Benjamin Bally , Michael Bender , Giuliano Giacalone , Vittorio Somà

The rotating nuclei represent one of most interesting subjects for theoretical and experimental studies. They open a new dimension of nuclear landscape, namely, spin direction. Contrary to the majority of nuclear systems, their properties…

Nuclear Theory · Physics 2016-04-27 A. V. Afanasjev

The search for specific signals in ultra-relativistic heavy-light ion collisions addressing intrinsic geometric features of nuclei may open a new window to low energy nuclear structure. We discuss specifically the phenomenon of…

Nuclear Theory · Physics 2014-11-24 Enrique Ruiz Arriola , Wojciech Broniowski

Atomic nuclei exhibit multiple energy scales ranging from hundreds of MeV in binding energies to fractions of an MeV for low-lying collective excitations. As the limits of nuclear binding is approached near the neutron- and proton…

Nuclear Theory · Physics 2025-02-20 Z. H. Sun , A. Ekström , C. Forssén , G. Hagen , G. R. Jansen , T. Papenbrock

We generalize the theory of nuclear decay and capture of Gamow that is based on tunneling through the barrier and internal oscillations inside the nucleus. In our formalism an additional factor is obtained, which describes distribution of…

Nuclear Theory · Physics 2017-11-27 Sergei P. Maydanyuk , Peng-Ming Zhang , Li-Ping Zou

Pentagon and triangle shapes in Si-28 and C-12 are discussed in relation with nuclear density wave. In the antisymmetrized molecular dynamics calculations, the $K^\pi=5^-$ band in Si-28 and the $K^\pi=3^-$ band in C-12 are described by the…

Nuclear Theory · Physics 2015-03-19 Yoshiko Kanada-En'yo , Yoshimasa Hidaka

We present a microscopic dynamical study of the reactions involving three $^{4}$He clusters. We show that the much discussed triple-$\alpha$ linear chain configuration of $^{12}$C is formed with a certain lifetime and subsequently decays…

Nuclear Theory · Physics 2014-11-20 A. S. Umar , J. A. Maruhn , N. Itagaki , V. E. Oberacker

The transition from cluster structures to extremely elongated ellipsoidal shapes and nuclear molecules in light $A=12-50$ $(N \sim Z)$ nuclei has been studied within the framework of covariant density functional theory. Nodal structure of…

Nuclear Theory · Physics 2018-11-29 A. V. Afanasjev

The structure of A=3 low-energy scattering states is described using the hyperspherical harmonics method with realistic Hamiltonian models, consisting of two- and three-nucleon interactions. Both coordinate and momentum space two-nucleon…

Nuclear Theory · Physics 2009-01-16 L. E. Marcucci , L. Girlanda , A. Kievsky , S. Rosati , M. Viviani

The geometry of Borromean three-body halos, such as two-neutron halo nuclei or triatomic molecules close to dissociation, is investigated using a three-body model. This model enables to analytically derive the universal geometric properties…

Nuclear Theory · Physics 2023-10-04 Pascal Naidon

We present lattice calculations of the low-lying spectrum of $^{12}$C using a simple nucleon-nucleon interaction that is independent of spin and isospin and therefore invariant under Wigner's SU(4) symmetry. We find strong signals for all…

Nuclear Theory · Physics 2021-10-04 Shihang Shen , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

Quantum phase transitions between competing ground-state shapes of atomic nuclei with an odd number of protons or neutrons are investigated in a microscopic framework based on nuclear energy density functional theory and the…

Nuclear Theory · Physics 2017-02-17 K. Nomura , T. Nikšić , D. Vretenar

Topological quantum chemistry (TQC) classifies the topological phases by real-space invariants in which obstructed atomic insulators belong to the trivial case but sometimes show the feature of higher-order topological insulator. Here, for…

Materials Science · Physics 2025-07-02 Hongyu Chen

The many-body states in an extended Fermionic Molecular Dynamics approach are flexible enough to allow the description of nuclei with shell model nature as well as nuclei with cluster and halo structures. Different many-body configurations…

Nuclear Theory · Physics 2009-11-10 T. Neff , H. Feldmeier

We aim to describe the cluster states of nuclear systems starting with a realistic interaction, which is a challenge of modern nuclear theories. Here, the short-range correlation of realistic interaction is treated by employing the damping…

Nuclear Theory · Physics 2020-03-20 Naoyuki Itagaki , Tokuro Fukui , Akihiro Tohsaki

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
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