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Related papers: Two $^9$Li clusters connected with two valence neu…

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The halo nucleus $^{11}$Li is treated as a three-body system consisting of an inert core of $^{9}$Li plus two valence neutrons. The Faddeev equations are solved using separable potentials to describe the two-body interactions, corresponding…

Nuclear Theory · Physics 2009-10-31 K. Ueta , H. Miyake , G. W. Bund

The correlated basis function theory is applied to the study of medium-heavy doubly closed shell nuclei with different wave functions for protons and neutrons and in the jj coupling scheme. State dependent correlations including tensor…

Nuclear Theory · Physics 2009-11-11 C. Bisconti , F. Arias de Saavedra , G. Co' , A. Fabrocini , .

The molecule-like structure of the C isotopes (A=12, 14, 16) is investigated using a microscopic $\alpha+\alpha+\alpha+n+n+\cdot \cdot \cdot$ model. The valence neutrons are classified based on the molecular-orbit (MO) model, and both…

Nuclear Theory · Physics 2009-11-07 N. Itagaki , S. Okabe , I. Ikeda , I. Tanihata

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 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

Alpha clustering is an important dynamic in nuclear physics, with growing interest to its study in heavy nuclei in recent years. Theoretically, the microscopic cluster models taking nucleons as relevant degrees of freedom have been widely…

Nuclear Theory · Physics 2025-02-20 Zhen Wang , Dong Bai , Zhongzhou Ren

To describe long-range behaviour of one particle removed from a few- or a many-body system, a hyperspherical cluster model has been developed. It has been applied to the ground and first excited states of helium drops with five, six, eight…

Nuclear Theory · Physics 2023-05-31 N. K. Timofeyuk

One of the common methods used to investigate the nuclear structures of atomic nuclei is the nuclear shell model. Similar to the placement of atomic electrons into orbits, in the nuclear shell model, protons and neutrons are thought to fill…

Nuclear Theory · Physics 2020-04-14 Serkan Akkoyun , Tuncay Bayram

We present an ab initio study of the one-neutron halo nucleus $^{11}$Be using nuclear lattice effective field theory with high-fidelity chiral interactions at N3LO. By employing the wavefunction matching method to mitigate the sign problem…

Nuclear Theory · Physics 2026-03-12 Shihang Shen , Serdar Elhatisari , Dean Lee , Ulf-G. Meißner , Zhengxue Ren

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 extend recent algebro-geometric results for coupled cluster theory of quantum many-body systems to the truncation varieties arising from the doubles approximation (CCD), focusing on the first genuinely nonlinear doubles regime of four…

Algebraic Geometry · Mathematics 2026-02-19 Fabian M. Faulstich , Vincenzo Galgano , Elke Neuhaus , Irem Portakal

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

We combine a recently developed ab initio many-body approach capable of describing simultaneously both bound and scattering states, the ab initio NCSM/RGM, with an importance truncation scheme for the cluster eigenstate basis and demostrate…

Nuclear Theory · Physics 2014-11-21 Petr Navratil , Robert Roth , Sofia Quaglioni

We investigate properties of the Generator Coordinate Method (GCM) on a collective basis of Antisymmetrized Quasi-Cluster (AQC) states to describe the cluster-shell competition in $^{20}$Ne and $^{24}$Mg due to the spin-orbit interaction.…

Nuclear Theory · Physics 2011-01-28 N. Itagaki , J. Cseh , M. Płoszajczak

The structure of $^{22}$C plays a vital role in the new physics at subshell closure of $N=16$ in the neutron-rich region. We study the two-neutron correlations in the ground state of the weakly-bound Borromean nucleus $^{22}$C sitting at…

Nuclear Theory · Physics 2019-06-20 Jagjit Singh , W. Horiuchi , L. Fortunato , A. Vitturi

The exotic nucleus 11Be has been extensively studied and much experimental information is available on the structure of this system. Treating, within the framework of empirically renormalised nuclear field theory in both configuration and…

Nuclear Theory · Physics 2017-08-30 F. Barranco , G. Potel , R. A. Broglia , E. Vigezzi

The Algebraic Cluster Model(ACM) is an interacting boson model that gives the relative motion of the cluster configurations in which all vibrational and rotational degrees of freedom are present from the outset. We schemed a solvable…

Nuclear Theory · Physics 2019-07-23 M. Ghapanvari , N. Amiri , M. A. Jafarizadeh

In the present work, we have reported comprehensive study of the $sd$-shell nuclei Si and P with neutron number varying from $N = 9$ to $N = 20$ using the microscopic effective valence shell interactions, namely, N3LO, JISP16 and DJ16A.…

Nuclear Theory · Physics 2023-04-05 Priyanka Choudhary , Praveen C. Srivastava

The low-lying unbound level structure of the halo nucleus $^{19}\textrm{C}$ has been investigated using single-neutron knockout from $^{20}\textrm{C}$ on a carbon target at 280 MeV/nucleon. The invariant mass spectrum, derived from the…

We discuss the extension of the oscillator-basis $J$-matrix formalism on the case of true $A$-body scattering. The formalism is applied to loosely-bound $^{11}$Li and $^6$He nuclei within three-body cluster models ${\rm {^9Li}}+n+n$ and…

Nuclear Theory · Physics 2014-11-18 Yu. A. Lurie , A. M. Shirokov