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Properties of the lowest $0^{+}$ states of $^{12}\mathrm{C}$ are calculated to study the role of three-body interactions in the $\alpha$-cluster model. An additional short-range part of the local three-body potential is introduced to…

Nuclear Theory · Physics 2009-11-11 S. I. Fedotov , O. I. Kartavtsev , A. V. Malykh

The study of inelastic scattering and multi-nucleon transfer reactions was performed by bombarding a $^{9}$Be target with a $^3$He beam at an incident energy of 30 MeV. Angular distributions for $^9$Be($^3$He,$^3$He)$^{9}$Be,…

Few-body systems, such as cold atoms and halo nuclei, share universal features at low energies, which are insensitive to the underlying inter-particle interactions at short ranges. These low-energy properties can be investigated in the…

Nuclear Theory · Physics 2016-05-17 Chen Ji

We examine the $\Lambda$-${}^4\mathrm{He}$ ($\alpha$) momentum correlation in high-energy collisions to elucidate the interaction between Lambdas ($\Lambda$) and nucleons ($N$). We compare phenomenological $\Lambda\alpha$ potentials with…

Nuclear Theory · Physics 2024-07-08 Asanosuke Jinno , Yuki Kamiya , Tetsuo Hyodo , Akira Ohnishi

We consider a pairwise interacting quantum 3-body system in 3-dimensional space with finite masses and the interaction term $V_{12} + \lambda(V_{13} + V_{23})$, where all pair potentials are assumed to be nonpositive. The pair interaction…

Mathematical Physics · Physics 2015-03-04 Dmitry K. Gridnev

We investigate dissociation reactions of loosely bound and spatially extended three-body systems. We formulate a practical method for simultaneous treatment of long-range Coulomb and short-range nuclear interactions. We use $^6$He…

Nuclear Theory · Physics 2009-11-06 E. Garrido , D. V. Fedorov , A. S. Jensen

We reveal limitations of several standard coupled-cluster (CC) methods with perturbation-theorybased noniterative or approximate iterative treatments of triple excitations when applied to thedetermination of highly accurate potential energy…

Chemical Physics · Physics 2021-10-04 Jan Schnabel , Lan Cheng , Andreas Köhn

Using a three-baryon $\Lambda NN$ potential having a spin-independent dispersive and a two-pion exchange components, realistic variational Monte Carlo calculations have been performed for the $\Lambda$-seperation energy for…

Nuclear Theory · Physics 2008-11-26 A. A. Usmani

In this paper, we study the low-energy $d-\alpha$ elastic scattering within the two-body cluster effective field theory (EFT) framework. The importance of the $d(\alpha,\alpha) d$ scattering in the $^6 \textrm{Li} $ production reaction…

Nuclear Theory · Physics 2023-03-02 Farzaneh Nazari , Mahdi Radin , Mahdi Moeini Arani

Quark-model hyperon-nucleon and hyperon-hyperon interactions by the Kyoto-Niigata group are applied to the two-Lambda plus alpha system in a new three-cluster Faddeev formalism using two-cluster resonating-group method kernels. The model…

Nuclear Theory · Physics 2009-11-10 Y. Fujiwara , M. Kohno , K. Miyagawa , Y. Suzuki , J. -M. Sparenberg

A contact potential describing an effective interaction between atomic $^4$He reproducing the results obtained with the HFDHE2 potential by Aziz et al. is employed to study the resulting equation of state by means of Quantum Monte Carlo…

Quantum Gases · Physics 2022-11-02 Hilla De-Leon , Francesco Pederiva

For a system of fermions with a three-body contact interaction the second-order contributions to the energy per particle $\bar E(k_f)$ are calculated exactly. The three-particle scattering amplitude in the medium is derived in closed…

Nuclear Theory · Physics 2015-06-04 N. Kaiser

The existence of a higher nodal band state with a $^{3}$He cluster structure, i.e. a vibrational mode in which the inter-cluster relative motion is excited, in $^{19}$Ne in addition to those with the $\alpha$ cluster structure in $^{20}$Ne…

Nuclear Theory · Physics 2011-02-14 S. Ohkubo , Y. Hirabayashi

We extend our previous calculation of the breakup of 11Be using Halo Effective Field Theory and the Dynamical Eikonal Approximation to include an effective 10Be-n-target force. The force is constructed to account for the virtual excitation…

Nuclear Theory · Physics 2021-12-28 P. Capel , D. R. Phillips , H. -W. Hammer

The many-body states in an extended Fermionic Molecular Dynamics approach are flexible enough to allow the description of nuclei with shell model nature as well as nuclei with cluster and halo structures. Different many-body configurations…

Nuclear Theory · Physics 2009-11-10 T. Neff , H. Feldmeier

Motivated by Mo$_3$S$_7$(dmit)$_3$, we investigate the Hubbard model on the triangular necklace lattice at two-thirds filling. We show, using second order perturbation theory, that in the molecular limit, the ground state and the low energy…

Strongly Correlated Electrons · Physics 2019-03-06 C. Janani , J. Merino , I. P. McCulloch , B. J. Powell

The $\beta$-decay process of the $^6$He halo nucleus into the $\alpha+d$ continuum is studied in an updated three-body model. The $^6$He nucleus is described as an $\alpha+n+n$ system in hyperspherical coordinates on a Lagrange-mesh. The…

Nuclear Theory · Physics 2018-01-08 E. M. Tursunov , D. Baye , P. Descouvemont

A numerically implementable Multi-scale Many-Body approach to strongly correlated electron systems is introduced. An extension to quantum cluster methods, it approximates correlations on any given length-scale commensurate with the strength…

Strongly Correlated Electrons · Physics 2012-01-04 C. Slezak , M. Jarrell , Th. Maier , J. Deisz

We explore the systematics of ground-state and excitation energies in singly-strange hypernuclei throughout the helium and lithium isotopic chains --- from $^5_\Lambda$He to $^{11}_\Lambda$He and from $^7_\Lambda$Li to $^{12}_\Lambda$Li ---…

Nuclear Theory · Physics 2018-03-01 Roland Wirth , Robert Roth

We investigate the properties of $\Lambda$ hyperon in $\Lambda$-hypernuclei using an effective nuclear density functional theory which is based on the low-energy effective field theory. It expands the energy density in the power of Fermi…

Nuclear Theory · Physics 2022-09-14 Soonchul Choi , Emiko Hiyama , Chang Ho Hyun , Myung-Ki Cheoun