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Related papers: Three-body structure of low-lying 12Be states

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Low-energy dipole excitations in ${}^{10}$Be were investigated based on the generator coordinate method with $\alpha + {}^6$He and $\alpha + \alpha + 2n$ cluster models. We obtained three $1^-$ states in $E_{x} < 15$~MeV, which show…

Nuclear Theory · Physics 2019-03-01 Yuki Shikata , Yoshiko Kanada-En'yo , Hiroyuki Morita

Three-body correlations for the ground-state decay of the lightest two-proton emitter $^{6}$Be are studied both theoretically and experimentally. Theoretical studies are performed in a three-body hyperspherical-harmonics cluster model. In…

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

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

A method to identify and characterize three-body resonances in a discrete basis is discussed in the context of two-nucleon emitters. For this purpose, a resonance operator is introduced and diagonalized in a basis of energy pseudostates…

Nuclear Theory · Physics 2020-01-14 J. Casal , J. Gómez-Camacho

The bound states of 12Be have been studied through a 11Be(d,p)12Be transfer reaction experiment in inverse kinematics. A 2.8 MeV/u beam of 11Be was produced using the REX-ISOLDE facility at CERN. The outgoing protons were detected with the…

Four identical spinless bosons with purely attractive two-body short-range interactions and repulsive three-body interactions under external spherically symmetric harmonic confinement are considered. The repulsive three-body potential…

Quantum Gases · Physics 2018-04-04 D. Blume , M. W. C. Sze , J. L. Bohn

The low-energy behavior of the strength function for the $1^-$ soft dipole excitation in $^{6}$He is studied theoretically. Use of very large basis sizes and well-grounded extrapolation procedures allows to move to energies as small as 1…

Nuclear Theory · Physics 2020-06-17 L. V. Grigorenko , N. B. Shulgina , M. V. Zhukov

We explore the three-body problem in two dimensions using the adiabatic hyperspherical representation. We develop the main equations in terms of democratic hyperangular coordinates and determine several symmetry properties and boundary…

Quantum Physics · Physics 2015-06-19 J. P. D'Incao , B. D. Esry

We study the two-neutron correlations in the ground state of the weakly-bound two-neutron halo nucleus $^{22}$C sitting at the edge of the neutron-drip line and also in the unbound nucleus $^{26}$O sitting beyond the neutron dripline. For…

Nuclear Theory · Physics 2020-08-26 Jagjit Singh , W. Horiuchi , L. Fortunato , A. Vitturi

A novel practical few-body method is formulated to include isospin symmetry for nuclear halo structures. The method is designed to describe beta decay, where the basic concept of isospin symmetry facilitates a proper understanding. Both…

Nuclear Theory · Physics 2023-02-02 E. Garrido , A. S. Jensen , H. O. U. Fynbo , K. Riisager

We investigate the Coulomb breakup of the two-neutron halo nucleus 6He by extending the framework of the finite range post form distorted wave Born approximation theory introduced earlier for the description of the breakup of one-neutron…

Nuclear Theory · Physics 2009-11-07 R. Chatterjee , P. Banerjee , R. Shyam

We investigate the multineutron excitations of neutron-rich $^8$He in the electric dipole strength using a $^4$He+$n$+$n$+$n$+$n$ five-body model. Many-body unbound states of $^8$He are obtained in the complex scaling method. We found that…

Nuclear Theory · Physics 2022-08-04 Takayuki Myo , Kiyoshi Kato

Lowest bound S-state energy of Coulomb three-body systems ($N^{Z+}\mu^-e^-$) having a positively charged nucleus of charge number Z ($N^{Z+}$), a negatively charged muon ($\mu^-$) and an electron ($e^-$), is investigated in the framework of…

Atomic and Molecular Clusters · Physics 2017-05-16 Md. A. Khan , M. Hasan

The scattering of a weakly bound three-body system by a target is discussed. A transformed harmonic oscillator basis is used to provide an appropriate discrete and finite basis for treating the continuum part of the spectrum of the…

We develop a new ab initio many-body approach capable of describing simultaneously both bound and scattering states in light nuclei, by combining the resonating-group method with the use of realistic interactions, and a microscopic and…

Nuclear Theory · Physics 2009-12-31 Sofia Quaglioni , Petr Navratil

In this paper, hyperspherical three-body model formalism has been applied for the calculation energies of the low-lying bound $^{1,3}$S (L=0)-states of neutral helium and helium like Coulombic three-body systems having nuclear charge (Z) in…

Atomic Physics · Physics 2015-11-19 Md. Abdul Khan

General expressions for the breakup cross sections in the lab frame for $1+2$ reactions are given in terms of the hyperspherical adiabatic basis. The three-body wave function is expanded in this basis and the corresponding hyperradial…

Nuclear Theory · Physics 2015-06-22 E. Garrido , A. Kievsky , M. Viviani

We study a three-body system, formed by a light particle and two identical heavy dipoles, in two dimensions in the Born-Oppenheimer approximation. We present the analytic light-particle wave function resulting from an attractive zero-range…

Atomic Physics · Physics 2017-01-11 D. S. Rosa , F. F. Bellotti , A. S. Jensen , G. Krein , M. T. Yamashita

Isoscalar dipole transitions are a distinctive fingerprint of cluster structures. A {1^-} resonance at 7.27(10) MeV, located just below the {\alpha}-emission threshold, has been observed in the deuteron inelastic scattering reactions off…

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