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Related papers: Three-body resonant states of $^9_{\Lambda}$Be wit…

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The first $0^+$ resonant state of the $^{12}$C nucleus ${}^{12}$C$(0_2^+)$, so called the Hoyle state, is investigated in a three-$\alpha$-particle (3-$\alpha$) model. A wave function for the photodisintegration reaction of a $^{12}$C bound…

Nuclear Theory · Physics 2016-12-26 Souichi Ishikawa

Bound state properties of few single and double-$\Lambda$ hypernuclei is critically examined in the framework of core-$\Lambda$ and core+$\Lambda+\Lambda$ few-body model applying hyperspherical harmonics expansion method (HHEM). The…

Nuclear Theory · Physics 2015-09-24 Md. Abdul Khan

In the framework of color flux-tube model with a four-body confinement potential, the lowest charged tetraquark states $[Qq][\bar{Q}'\bar{q}']~(Q=c,b,q=u,d,s)$ are studied by using the variational method, Gaussian expansion method. The…

High Energy Physics - Phenomenology · Physics 2014-09-17 Chengrong Deng , Jialun Ping , Fan Wang

The alpha cluster states of 16C are investigated by using the antisymmetrized molecular dynamics. It is shown that two different types of alpha cluster states exist: triangular and linear-chain states. The former has an approximate…

Nuclear Theory · Physics 2015-06-23 T. Baba , Y. Chiba , M. Kimura

A simple analytic expression of the three-body wave function describing the system $(\alpha\alpha n)$ in the ground state $\frac{3}{2}^-$ of ${}^9\mathrm{Be}$ is obtained. In doing this, it is assumed that the $\alpha$ particles interact…

Nuclear Theory · Physics 2024-08-06 S. A. Rakityansky

The structure of the Borromean nucleus $^9$Be ($\alpha+\alpha+n$) is addressed within a three-body approach using the analytical transformed harmonic oscillator method. The three-body formalism provides an accurate description of the…

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

We discuss resonance properties in three-body systems, with examples on $^{12}{\rm C}$ and $^{24}{\rm Mg}$. We use a microscopic cluster model, where the generator coordinate is defined in the hyperspherical formalism. The $^{12}{\rm C}$…

Nuclear Theory · Physics 2021-02-03 P. Descouvemont

We describe 19B in terms of a 17B-n-n three-body system, where the two-body subsystems 17B-n and n-n are unbound (virtual) states close to the unitary limit. The energy of 19B ground state is well reproduced and two low-lying resonances are…

Nuclear Theory · Physics 2020-12-25 J. Carbonell , E. Hiyama , R. Lazauskas , F. M. Marqués

We investigate to what extent a description of 12Be as a three-body system made of an inert 10Be-core and two neutrons is able to reproduce the experimental 12Be data. Three-body wave functions are obtained with the hyperspherical adiabatic…

Nuclear Theory · Physics 2008-11-26 C. Romero-Redondo , E. Garrido , D. V. Fedorov , A. S. Jensen

Cluster structures of excited $^{10}$Be states are investigated with a hybrid model of dineutron condensate wave functions and $^6$He+$\alpha$ cluster wave functions. Two kinds of cluster states are theoretically suggested a few MeV above…

Nuclear Theory · Physics 2015-06-11 Fumiharu Kobayashi , Yoshiko Kanada-En'yo

A three dimensional attractive Bose-Einstein Condensate (BEC) is expected to collapse, when the number of the particles $N$ in the ground state or the interaction strength $\lambda_0$ exceeds a critical value. We study systems of different…

Quantum Gases · Physics 2010-09-28 Marios C. Tsatsos , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We study a classical $\Lambda$-type three-level system based on three high-$Q$ micromechanical beam resonators embedded in a gradient electric field. By modulating the strength of the field at the difference frequency between adjacent beam…

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

Weakly bound and unbound three-body nuclei are studied by using the pseudostate method within the hyperspherical formalism. After introducing the theoretical framework, the method is applied first to the $\boldsymbol{^9}$Be nucleus, showing…

Nuclear Theory · Physics 2020-03-06 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho , L. Fortunato , A. Vitturi

We make a theoretical study of the three-body system composed of ${\bar K^*}{\bar B^*}{\bar B^*}$ to look for possible bound states, which could be associated to mesonic resonances of very exotic nature, containing open strange and…

High Energy Physics - Phenomenology · Physics 2023-04-12 M. Bayar , N. Ikeno , L. Roca

The complex scaling method permits calculations of few-body resonances with the correct asymptotic behaviour using a simple box boundary condition at a sufficiently large distance. This is also valid for systems involving more than one…

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

The energy and the width of resonance states are determined by analytic continuation of bound-state energies as a function of the coupling constant (potential strength). The advantage of the method is that the existing techniques for…

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

The fermionic molecular dynamics approach uses Gaussian wave packets as single-particle basis states. Many-body basis states are Slater determinants projected on parity, angular momentum and total linear momentum. The wave-packet basis is…

Nuclear Theory · Physics 2015-06-11 Thomas Neff

We investigate the cluster structure of $\rm {}^{13}N$ using a microscopic $\alpha+\alpha+\alpha+p$ four-body cluster model. The calculated spectra agree well with the observed spectra in the low-lying states. We calculate the reduced width…

Nuclear Theory · Physics 2025-01-31 Ying-Yu Cao , De-Ye Tao , Bo Zhou , Yu-Gang Ma

We investigate bound states of light $\Omega_{3x}$-clusters ($x = s, c$), motivated by the $\Omega_{3s}N$ potential recently developed by the HAL QCD collaboration. To regularize this potential, we remove the deeply attractive core at $r <…

Nuclear Theory · Physics 2026-01-21 Igor Filikhin , Roman Ya. Kezerashvili , Branislav Vlahovic