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We introduce a fully antisymmetrized treatment of three-cluster dynamics within the ab initio framework of the no-core shell model/resonating-group method (NCSM/RGM). Energy-independent non-local interactions among the three nuclear…

Nuclear Theory · Physics 2013-10-23 S. Quaglioni , C. Romero-Redondo , P. Navrátil

We realize the treatment of bound and continuum nuclear systems in the proximity of a three-body breakup threshold within the ab initio framework of the no-core shell model with continuum. Many-body eigenstates obtained from the…

Nuclear Theory · Physics 2018-04-04 Sofia Quaglioni , Carolina Romero-Redondo , Petr Navratil , Guillaume Hupin

We introduce an extension of the ab initio no-core shell model/resonating group method (NCSM/RGM) in order to describe three-body cluster states. We present results for the $^6$He ground state within a $^4$He+n+n cluster basis as well as…

Nuclear Theory · Physics 2015-06-17 Carolina Romero-Redondo , Petr Navratil , Sofia Quaglioni , Guillaume Hupin

Resonances and continuum states of He isotopes are investigated using the cluster orbital shell model (COSM) with the complex scaling method (CSM). We discuss the following subjects: 1) Spectroscopic factors of the unbound nucleus 7He into…

Nuclear Theory · Physics 2011-09-30 Takayuki Myo , Kiyoshi Kato

The structure of bound and resonance states of the hypernucleus $_{\Lambda}^{7}$Li is studied within a three-cluster model. This nucleus is considered a three-cluster structure consisting of $^{4}$He, a deuteron, and a lambda hyperon. The…

Nuclear Theory · Physics 2025-08-20 N. K. Kalzhigitov , S. Amangeldinova , V. S. Vasilevsky

The structure of neutron-rich $\Lambda$ hypernucleus, $^7_{\Lambda}$He is studied within the framework of an $\alpha +\Lambda +n+n$ four-body cluster model. We predict second $3/2^+$ and $5/2^+$ states, corresponding to a $0s$ $\Lambda$…

Nuclear Theory · Physics 2015-06-11 E. Hiyama , M. Isaka , M. Kamimura , T. Myo , T. Motoba

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 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…

Two new low-lying $^6$He levels at excitation energies of about 2.4 and 2.9 MeV were observed in the experimental investigation of the p-$\alpha$ coincidence spectra obtained by the $^3$H($^4$He,p$\alpha$)2n four-body reaction at $E_{\rm…

The norm kernel of the A=12 system composed of two 6He clusters, and the L=0 basis functions (in the SU(3) and angular momentum-coupled schemes) are analytically obtained in the Fock--Bargmann space. The norm kernel has a diagonal form in…

Nuclear Theory · Physics 2009-11-10 G. F. Filippov , Yu. A. Lashko , S. V. Korennov , K. Kato

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

We introduce a unified approach to nuclear bound and continuum states based on the coupling of the no-core shell model (NCSM), a bound-state technique, with the no-core shell model/resonating group method (NCSM/RGM), a nuclear scattering…

Nuclear Theory · Physics 2013-04-03 Simone Baroni , Petr Navratil , Sofia Quaglioni

We explore the structure of resonance states in $^{6}$He by experimental and theoretical methods. We present the results of experimental investigations of the three-body continuous spectrum of $^{6}$He. For this aim, we use the reaction…

Nuclear Theory · Physics 2015-03-17 O. M. Povoroznyk , V. S. Vasilevsky

Four-body distorted wave theory appropriate for nucleon-nucleus reactions leading to 3-body continuum excitations of two-neutron Borromean halo nuclei is developed. The peculiarities of the halo bound state and 3-body continuum are fully…

Nuclear Theory · Physics 2016-09-08 S. N. Ershov , T. Rogde , B. V. Danilin , J. S. Vaagen , I. J. Thompson , F. A. Gareev

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

We introduce the extension of the ab initio no-core shell model with continuum to describe three-body cluster systems. We present results for the ground state of 6He and show improvements with respect to the description obtained within the…

Nuclear Theory · Physics 2016-04-20 Carolina Romero-Redondo , Sofia Quaglioni , Petr Navrátil , Guillaume Hupin

We investigate properties of bound and resonance states in the $_{\Lambda}^{9}$Be nucleus. To reveal the nature of these states, we use a three-cluster $2\alpha+\Lambda$ microscopic model. The model incorporates Gaussian and oscillator…

Nuclear Theory · Physics 2021-04-22 Yu. A. Lashko , A. V. Nesterov , V. S. Vasilevsky

The resonance states embedded in the three-cluster continuum of 6He and 6Be are obtained in the Algebraic Version of the Resonating Group Method. The model accounts for a correct treatment of the Pauli principle. It also provides the…

Nuclear Theory · Physics 2009-11-06 V. Vasilevsky , A. V. Nesterov , F. Arickx , J. Broeckhove

The resonance states of $^{4}H$, $^{4}He$ and $^{4}Li$, embedded in the three-cluster $d+N+N$ continuum, are investigated within a three-cluster model. The model treats the Pauli principle exactly and incorporates the Faddeev components for…

Nuclear Theory · Physics 2007-05-23 V. Vasilevsky , F. Arickx , J. Broeckhove , V. N. Romanov

The exact treatment of nuclei starting from the constituent nucleons and the fundamental interactions among them has been a long-standing goal in nuclear physics. Above all nuclear scattering and reactions, which require the solution of the…

Nuclear Theory · Physics 2011-09-30 Petr Navratil , Sofia Quaglioni , Robert Roth
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