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The neutron halo structure of $^{6}$He and of $^{8}$He is studied in a microscopic three-body and five-body model, respectively. Various cluster arrangements are included to embody a variety of correlations between the clusters. The…

Nuclear Theory · Physics 2008-11-26 K. Varga , Y. Suzuki , Y. Ohbayasi

The hypernucleus $\nuclide[6][\Lambda\Lambda]{He}$ is studied as a three-body ($\Lambda\Lambda\alpha$) cluster system in cluster effective field theory at leading order. We find that the three-body contact interaction exhibits the limit…

Nuclear Theory · Physics 2014-09-24 Shung-Ichi Ando , Yongseok Oh

Background: The four-neutron correlation has been attracting much attention for decades. In addition to the study on the tetra-neutron system, it is worthwhile to investigate the correlation in bound systems. Purpose: The $^8$He nucleus is…

Nuclear Theory · Physics 2023-08-02 Y. Yamaguchi , W. Horiuchi , T. Ichikawa , N. Itagaki

The description of nuclei starting from the constituent nucleons and the realistic interactions among them has been a long-standing goal in nuclear physics. In addition to the complex nature of the nuclear forces, with two-, three- and…

We calculated the energy spectra of the neutron-rich He $\Lambda$ hypernuclei with $A=6$ to 9 within the framework of an $\alpha + \Lambda +Xn$ ($X=1$--4) cluster model using the cluster orbital shell model. The employed constituent…

Nuclear Theory · Physics 2023-05-05 Takayuki Myo , Emiko Hiyama

We solve the coordinate space Faddeev equations in the continuum. We employ hyperspherical coordinates and provide analytical expressions allowing easy computation of the effective potentials at distances much larger than the ranges of the…

Nuclear Theory · Physics 2008-11-26 A. Cobis , D. V. Fedorov , A. S. Jensen

Nuclear clustering describes the appearance of structures resembling smaller nuclei such as alpha particles (4He nuclei) within the interior of a larger nucleus. While clustering is important for several well-known examples, much remains to…

We expose the relation between the properties of the three-body continuum states and their two-body subsystems. These properties refer to their bound and virtual states and resonances, all defined as poles of the $S$-matrix. For one…

Nuclear Theory · Physics 2009-11-11 E. Garrido , D. V. Fedorov , A. S. Jensen

Using an effective field-theoretical approach, we investigate the properties of weakly bound two-neutron halo nuclei (also known as Borromean nuclei) that do not support a low-energy $s$-wave core-neutron resonance. Extending the recently…

Nuclear Theory · Physics 2025-07-30 Davi B. Costa , Masaru Hongo , Dam Thanh Son

Recently, a square-integrable discrete basis, obtained performing a simple analytical local scale transformation to the harmonic oscillator basis, has been proposed and successfully applied to study the properties of two-body systems. Here,…

Nuclear Theory · Physics 2016-04-26 J. Casal , M. Rodríguez-Gallardo , J. M. Arias

The reformulated coupled-cluster method (CCM), in which average many-body potentials are introduced, provides a useful framework to organize numerous terms appearing in CCM equations, which enables us to clarify the structure of the CCM…

Nuclear Theory · Physics 2015-06-05 M. Kohno , R. Okamoto

We study the eikonal model for the nuclear-induced breakup of Borromean nuclei, using Li11 and He6 as examples. The full eikonal model is difficult to realize because of six-dimensional integrals, but a number of simplifying approximations…

Nuclear Theory · Physics 2008-11-26 G. F. Bertsch , K. Hencken , H. Esbensen

The low-lying continuum spectrum of the $^6{\rm He}$ nucleus is investigated for the first time within an ab initio framework that encompasses the $^4{\rm He}$+$n$+$n$ three-cluster dynamics characterizing its lowest decay channel. This is…

Nuclear Theory · Physics 2014-07-23 Carolina Romero-Redondo , Sofia Quaglioni , Petr Navrátil , Guillaume Hupin

Short-range correlations in bosonic Helium clusters, composed of $^4$He atoms, are studied utilizing the generalized contact formalism. The emergence of universal $n$-body short range correlations is formulated and demonstrated numerically…

Quantum Gases · Physics 2020-01-29 Betzalel Bazak , Manuel Valiente , Nir Barnea

This work treats few-body systems consisting of neutrons interacting with a $^{4}{\mathrm{He}}$ nucleus. The adiabatic hyperspherical representation is utilized to solve the $N$-body Schr$\ddot{\mathrm{o}}$dinger equation for the three- and…

Nuclear Theory · Physics 2025-11-25 Michael D. Higgins , Chris H. Greene

The challenging nuclear many-body problem is discussed along with classifications and qualitative descriptions of existing methods and models. We present detailed derivations of a new method where cluster correlations co-exist with an…

Nuclear Theory · Physics 2018-07-04 D. Hove , E. Garrido , P. Sarriguren , D. V. Fedorov , H. O. U. Fynbo , A. S. Jensen , N. T. Zinner

Three-body correlations in the dissociation of two-neutron halo nuclei are explored using a technique based on intensity interferometry and Dalitz plots. This provides for the combined treatment of both the n-n and core-n interactions in…

Nuclear Experiment · Physics 2009-11-07 F. M. Marques , M. Labiche , N. A. Orr

Ab initio calculations of nuclei face the challenge of simultaneously describing strong short-range internucleon correlations and the long-range properties of weakly-bound halo nucleons. Natural orbitals, which diagonalize the one-body…

Nuclear Theory · Physics 2018-02-07 Ch. Constantinou , M. A. Caprio , J. P. Vary , P. Maris

We present a method based on hyperspherical harmonics to solve the nuclear many-body problem. It is an extension of accurate methods used for studying few-body systems to many bodies and is based on the assumption that nucleons in nuclei…

Nuclear Theory · Physics 2009-11-10 M. Fabre de la Ripelle , S. A. Sofianos , R. M. Adam

The role of different continuum components in the weakly-bound nucleus $^6$He is studied by coupling unbound spd-waves of $^5$He by means of simple pairing contact-delta interaction. The results of our previous investigations in a model…

Nuclear Theory · Physics 2018-08-28 Jagjit Singh , L. Fortunato , A. Vitturi , R. Chatterjee