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Related papers: Possible Existence of $^3_\phi$H, $^4_\phi$H, $^4_…

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The light double $\Lambda$ hypernuclei, ${}_{\Lambda\Lambda}^{\ \ 4}$H and ${}_{\Lambda\Lambda}^{\ \ 6}$He, are studied as three-body $\Lambda\Lambda d$ and $\Lambda\Lambda\alpha$ cluster systems in halo/cluster effective field theory at…

Nuclear Theory · Physics 2016-05-02 Shung-Ichi Ando

Non-relativistic Faddeev and Faddeev-Yakubovsky calculations were made for K^-pp, K^- ppn, K^-K^-p and K^- K^-pp kaonic nuclear clusters, where the quasi bound states were treated as bound states by employing real separable potential models…

Nuclear Theory · Physics 2014-04-18 Shuji Maeda , Yoshinori Akaishi , Toshimitsu Yamazaki

The strong interaction between an antikaon and a nucleon is at the origin of various interesting phenomena in kaon-nuclear systems. In particular, the interaction in the isospin $I=0$ channel is sufficiently attractive to generate a…

Nuclear Theory · Physics 2022-02-15 Tetsuo Hyodo , Wolfram Weise

In this paper, we have solved a simple specific model of the five-body problem in the framework of the Yakubovsky equations, restricted to the configurations of the alpha-nucleon types only, to investigate the effective interaction between…

Nuclear Theory · Physics 2018-09-12 E. Ahmadi Pouya , A. A. Rajabi

We review recent work concerning the $\bar{K}N$ interaction and Faddeev equations with chiral dynamics which allow us to look at the $\bar{K}NN$ from a different perspective and pay attention to problems that have been posed in previous…

High Energy Physics - Phenomenology · Physics 2015-06-04 E. Oset , D. Jido , T. Sekihara , A. Martinez Torres , K. P. Khemchandani , M. Bayar , J. Yamagata-Sekihara

Dynamically exact calculations of a quasi-bound state in the $\bar{K}\bar{K}N$ three-body system are performed using Faddeev-type AGS equations. As input two phenomenological and one chirally motivated $\bar{K}N$ potentials are used, which…

Nuclear Theory · Physics 2015-10-21 N. V. Shevchenko , J. Haidenbauer

This study provides a comprehensive analysis of $S$-wave exotic hydrogen-like three-body systems ($pp\mu^-$, $pp\tau^-$, $\mu^-\mu^-p$, $\tau^-\tau^-p$, $p\mu^-\tau^-$) with spin-parity $J^P = 1/2^+$ and $3/2^+$, and four-body systems…

Atomic Physics · Physics 2025-08-01 Hui-Min Yang , Yao Ma , Shi-Lin Zhu

We predict the presence and positions of purely-long-range bound states of $^4$He$(2s ^3S)+{}^4$He$(2p ^3P)$ near the $2s ^3S_1+2p ^3P_{0,1}$ atomic limits. The results of the full multichannel and approximate models are compared, and we…

Atomic Physics · Physics 2009-11-10 V. Venturi , P. J. Leo , E. Tiesinga , C. J. Williams , I. B. Whittingham

We study kaon-nucleon systems in the Skyrme model in a method based on the bound state approach of Callan-Klebanov but with the kaon around the physical nucleon of the rotating hedgehog. This corresponds to the variation after projection,…

Nuclear Theory · Physics 2016-08-17 Takashi Ezoe , Atsushi Hosaka

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

First results on the interaction between the $\phi$-meson and the nucleon ($N$) are presented based on the ($2+1$)-flavor lattice QCD simulations with nearly physical quark masses. Using the HAL QCD method, the spacetime correlation of the…

High Energy Physics - Lattice · Physics 2022-12-21 Yan Lyu , Takumi Doi , Tetsuo Hatsuda , Yoichi Ikeda , Jie Meng , Kenji Sasaki , Takuya Sugiura

We have investigated S-wave bound states composed of three identical bosons interacting via regulated delta function potentials in non-relativistic quantum mechanics. For low-energy systems, these short-range potentials serve as an…

Nuclear Theory · Physics 2007-05-23 R. F. Mohr

We calculate the $E1$ breakup of the $2n$ halo nucleus $^{11}$Li in Halo Effective Field Theory (Halo EFT) at leading order. In Halo EFT, $^{11}$Li is treated as a three-body system of a $^{9}$Li core and two neutrons. We present a detailed…

Nuclear Theory · Physics 2023-02-08 Matthias Göbel , Bijaya Acharya , Hans-Werner Hammer , Daniel R. Phillips

In this work, we study the nucleon-antinucleon system in a constituent quark model. We first construct the nucleon-antinucleon wave function such that the multiquark and multiantiquark components each satisfy the Pauli exclusion principle,…

Nuclear Theory · Physics 2026-01-06 Aaron Park , Sungtae Cho , Su Houng Lee

Both unitary chiral theories and lattice QCD simulations show that the $DK$ interaction is attractive and can form a bound state, namely, $D^*_{s0}(2317)$. Assuming the validity of the heavy antiquark-diquark symmetry (HADS), the…

High Energy Physics - Phenomenology · Physics 2020-10-28 Tian-Wei Wu , Ming-Zhu Liu , Li-Sheng Geng , Emiko Hiyama , Manuel Pavon Valderrama , Wen-Ling Wang

In the past, several efficient methods have been developed to solve the Schroedinger equation for four-nucleon bound states accurately. These are the Faddeev-Yakubovsky, the coupled-rearrangement-channel Gaussian-basis variational, the…

A method using an expansion of the four-body Yakubovsky wave function components onto the basis of the Faddeev-equation solutions for the two-cluster sub-Hamiltonian eigenfunctions is proposed. This expansion reduces the Yakubovsky…

Nuclear Theory · Physics 2007-05-23 S. L. Yakovlev , I. N. Filikhin

The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing…

Nuclear Theory · Physics 2014-02-26 M. R. Hadizadeh , S. Bayegan

We introduce \emph{contact interactions hamiltonians} (self-adjointoperators defined by boundary conditions) between $N$ massive particles in $R^3$, $N \geq 3$. We prove that they are limits (in strong resolvent sense) when $ \epsilon \to…

Mathematical Physics · Physics 2017-12-19 Gianfausto Dell'Antonio

Three-body Faddeev-type equations for bound, resonant, and scattering states in the systems with a nuclear core and two nucleons are solved using the momentum-space framework. Two approaches for eliminating the Pauli-forbidden deeply-bound…

Nuclear Theory · Physics 2026-03-04 A. Deltuva