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We first determine the Lambda-N S-wave phase shifts so as to reproduce the experimental Lambda separation energies of A=3, 4 Lambda-hypernuclei, and then construct three phase-equivalent Lambda-N potentials with different central repulsion.…

Nuclear Theory · Physics 2009-10-31 Hidekatsu Nemura , Yasuyuki Suzuki , Yoshikazu Fujiwara , Choki Nakamoto

Recent studies of clustering in light nuclei with an initial energy above 1 A GeV in nuclear treack emulsion are overviewed. The results of investigations of the relativistic $^9$Be nuclei fragmentation in emulsion, which entails the…

Nuclear Experiment · Physics 2008-11-26 D. A. Artemenkov , T. V. Shchedrina , R. Stanoeva , P. I. Zarubin

The structure of the T=1 iso-triplet hypernuclei, $^7_{\Lambda}$He, $^7_{\Lambda}$Li and $^7_{\Lambda}$Be within the framework of an $\alpha +\Lambda +N+N$ four-body cluster model is studied. Interactions between the constituent subunits…

Nuclear Theory · Physics 2009-12-14 E. Hiyama , Y. Yamamoto , T. Motoba , M. Kamimura

We investigated structures of low-lying $0s$-orbit $\Lambda$ states in $p$-shell $\Lambda$ hypernuclei ($^A_\Lambda Z$) by applying microscopic cluster models for nuclear structure and a single-channel folding potential model for a…

Nuclear Theory · Physics 2018-02-28 Yoshiko Kanada-En'yo

Quantum cluster theories are a set of approaches for the theory of correlated and disordered lattice systems, which treat correlations within the cluster explicitly, and correlations at longer length scales either perturbatively or within a…

Superconductivity · Physics 2009-11-11 T. A. Maier , M. S. Jarrell , D. J. Scalapino

We investigate the spatial structure of the two-neutron wave function in the Borromean nucleus $^{11}$Li, using a three-body model of $^9$Li $+n+n$, which includes many-body correlations stemming from the Pauli principle. The behavior of…

Nuclear Theory · Physics 2008-11-26 K. Hagino , H. Sagawa , J. Carbonell , P. Schuck

Fundamental theories and models of many-body physics can be probed in experiments on ultracold atoms held in place by electromagnetic fields. In particular, of considerable interest are systems under curved confinement, since they can yield…

Quantum Gases · Physics 2026-03-06 Fabio Cinti , Matteo Ciardi , Santi Prestipino , Giuseppe Pellicane

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

Background: Whether or not the $\alpha$ ($^4$He nucleus) clustering exists in the medium-mass region of nuclear systems is a fundamental and intriguing question. However, the recent analysis of the $\alpha$ knockout reaction on $^{48}$Ti…

Nuclear Theory · Physics 2024-03-05 M. Okada , W. Horiuchi , N. Itagaki

Alpha clustering in nuclei is considered with the quartet model (QM) where four valence nucleons (the quartet) move on the top of the core (daughter) nucleus. In the QM approach, it is assumed that the intrinsic wave function of the quartet…

Nuclear Theory · Physics 2019-03-27 Dong Bai , Zhongzhou Ren , Gerd Röpke

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,…

We study nature of the low-lying resonance states in mirror nuclei $^{9}$Be and $^{9}$B. Investigations are performed within a three-cluster model. The model makes use of the hyperspherical harmonics, which provides convenient description…

Nuclear Theory · Physics 2017-10-11 V. S. Vasilevsky , K. Katō , N. Zh. Takibayev

In the nucleus $^{48}$Ti, whose structure is essential in evaluating the half-life of the neutrinoless double-$\beta$ decay ($0\nu\beta\beta$) of $^{48}$Ca, the existence of the $\alpha$ cluster structure is shown for the first time. A…

Nuclear Theory · Physics 2021-11-22 S. Ohkubo

We investigate the degree of $\alpha$ ($^4$He nucleus) clustering in the ground-state density profiles of $^{44}$Ti and $^{52}$Ti. Two types of density distributions, shell- and cluster-model configurations, are generated fully…

Nuclear Theory · Physics 2022-11-09 W. Horiuchi , N. Itagaki

We introduce a tensor-based clustering method to extract sparse, low-dimensional structure from high-dimensional, multi-indexed datasets. This framework is designed to enable detection of clusters of data in the presence of structural…

Quantitative Methods · Quantitative Biology 2019-02-11 Anna Seigal , Mariano Beguerisse-Díaz , Birgit Schoeberl , Mario Niepel , Heather A. Harrington

We present a many-channel microscopic model that extends the three-cluster model previously formulated in \cite{2009NPA...V37}. This extended model incorporates multiple three-cluster configurations, which are subsequently reduced to a…

Nuclear Theory · Physics 2023-10-31 Yu. A. Lashko , V. S. Vasilevsky , V. I. Zhaba

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

Packing under confinement could generate rich ordered structures through entropic effects, which is a fundamental problem in condensed matter, biophysics and material science. The influence of confinement to the anisotropic hard…

Soft Condensed Matter · Physics 2026-05-12 Zhongtian Yuan , Yao Li

Depending on the pH value and salt concentration of Al2O3 suspensions different microstructures can form. Especially the clustered one is of major interest for industrial purposes as found in the production of ceramics. In this paper we…

Soft Condensed Matter · Physics 2007-07-23 Martin Hecht , Jens Harting , Hans J. Herrmann

Subspace clustering (SC) algorithms utilize the union of subspaces model to cluster data points according to the subspaces from which they are drawn. To better address separability of subspaces and robustness to noise we propose a wavelet…

Machine Learning · Computer Science 2024-06-07 Ivica Kopriva , Damir Sersic
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