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We review recent experimental and theoretical progress in understanding the microscopic details of clustering in light nuclei. We discuss recent experimental results on $\alpha$-conjugate systems, molecular structures in neutron-rich…

Nuclear Theory · Physics 2018-08-30 Martin Freer , Hisashi Horiuchi , Yoshiko Kanada-En'yo , Dean Lee , Ulf-G. Meißner

We investigate the ordering properties of vertically-vibrated monolayers of granular cylinders in a circular container at high packing fraction. In line with previous works by other groups, we identify liquid-crystalline ordering behaviour…

Soft Condensed Matter · Physics 2017-05-16 Miguel Gonzalez-Pinto , Florentino Borondo , Yuri Martinez-Raton , Enrique Velasco

Tensor clustering, which seeks to extract underlying cluster structures from noisy tensor observations, has gained increasing attention. One extensively studied model for tensor clustering is the tensor block model, which postulates the…

Statistics Theory · Mathematics 2023-11-07 Yuchen Zhou , Yuxin Chen

Dimensionless ratios characterizing many-body systems are a powerful tool to reveal the main universal quantities involved. The recently-introduced localisation parameter allow to study the occurrence of crystal, clusterisation, and quantum…

Nuclear Theory · Physics 2017-06-05 J. -P. Ebran , E. Khan

We investigate the collective dynamics of multivortex assemblies in a two dimensional (2D) toroidal fluid film of distinct curvature and topology. The incompressible and inviscid nature of the fluid allows a Hamiltonian description of the…

Fluid Dynamics · Physics 2025-09-15 Aswathy K R , Udaya Maurya , Surya Teja Gavva , Rickmoy Samanta

Using the framework of nuclear energy density functionals we examine the conditions for single-nucleon localization and formation of cluster structures in finite nuclei. We propose to characterize localization by the ratio of the dispersion…

Nuclear Theory · Physics 2015-06-05 J. -P. Ebran , E. Khan , T. Niksic , D. Vretenar

Certain aspects of the recently proposed antisymmetrised alpha particle product state wave function, or THSR alpha cluster wave function, for the description of the ground state in 8Be, the Hoyle state in 12C, and analogous states in…

Nuclear Theory · Physics 2015-05-14 Y. Funaki , H. Horiuchi , W. von Oertzen , G. Roepke , P. Schuck , A. Tohsaki , T. Yamada

We study gravitational clustering of mass points in three dimensions with random initial positions and periodic boundary conditions (no expansion) by numerical simulations. Correlation properties are well defined in the system and a sort of…

Statistical Mechanics · Physics 2009-11-07 M. Bottaccio , A. Amici , P. Miocchi , R. Capuzzo Dolcetta , M. Montuori , L. Pietronero

An effective $\alpha$ particle equation is derived for cases where an $\alpha$ particle is formed on top of a doubly magic nucleus. As an example, we consider $^{212}$Po with the $\alpha$ on top of the $^{208}$ Pb core. We will consider the…

Nuclear Theory · Physics 2014-09-17 G. Röpke , P. Schuck , Bo Zhou , Y. Funaki , H. Horiuchi , Zhongzhou Ren , A. Tohsaki , Chang Xu , T. Yamada

We investigate the evolution of clustering structure through the momentum distributions in the $^{8-10}$Be isotopes. The nucleon dynamics within the inter-cluster antisymmetrization are discussed via the momentum distribution of a Brink…

The open quantum system eigenstate in the vicinity of low-energy decay channel may mimic its features, in particular the characteristic clustering properties of the decay channel. This generic mechanism of clusterization, the so-called…

Nuclear Theory · Physics 2024-11-08 J. P. Linares Fernandez , N. Michel , M. Płoszajczak

The formation, movement and gluing of clusters can be described through a system of non local balance laws. Here, the well posedness of this system is obtained, as well as various stability estimates. Remarkably, qualitative properties of…

Analysis of PDEs · Mathematics 2024-10-15 Rinaldo M. Colombo , Mauro Garavello

The links between the internal structure of galaxy groups and clusters and cosmological parameters are reviewed here. The mass density profiles of clusters, inferred from both optical analyses of the galaxy surface number density profile…

Astrophysics · Physics 2008-02-03 Gary A. Mamon

Spherical harmonics form a complete orthonormal basis which allows any function on the sphere to be expanded. The nuclear shape of a given eigenstate can thus be described within Bohr's quasi-molecular model by a coordinate transformation…

Nuclear Theory · Physics 2026-05-19 José Nicolás Orce , Manfred Jason Jaftha

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

The intrinsic shape of galaxy clusters can be obtained through a combination of X-ray and Sunyaev-Zeldovich effect observations once cosmological parameters are assumed to be known. In this paper we discuss the feasibility of modelling…

Astrophysics · Physics 2009-11-11 M. Sereno , E. De Filippis , G. Longo , M. W. Bautz

The core structure of galaxy clusters is fundamentally important. Even though self-gravitating systems have no stable equilibrium state due to their negative heat capacity, numerical simulations find density profiles which are universal in…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Matthias Bartelmann , Marceau Limousin , Massimo Meneghetti , Robert Schmidt

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

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 new trial wave function is proposed for nuclear physics, in which an exact solution to the long-standing center-of-mass problem is given. In the new approach, the widths of the single-nucleon Gaussian wave packets and the widths of the…

Nuclear Theory · Physics 2018-06-06 Bo Zhou