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Newly, first-principles lattice QCD results at the physical pion mass, $ m_\pi \backsimeq 137.1 $ MeV, have been reported by the HAL QCD Collaboration for the S-wave interaction between the nucleon ($N$) and the triply charmed Omega baryon…

Nuclear Theory · Physics 2026-02-11 Faisal Etminan , Lucas Happ

This work treats few-body systems consisting of neutrons interacting with a $^{4}{\mathrm{He}}$ nucleus. The adiabatic hyperspherical representation is utilized to solve the $N$-body Schr$\ddot{\mathrm{o}}$dinger equation for the three- and…

Nuclear Theory · Physics 2025-11-25 Michael D. Higgins , Chris H. Greene

In a recent measurement LHCb reported pronounced structures in the $J/\psi J/\psi$ spectrum. One of the various possible explanations of those is that they emerge from non-perturbative interactions of vector charmonia. It is thus important…

High Energy Physics - Phenomenology · Physics 2021-10-26 Xiang-Kun Dong , Vadim Baru , Feng-Kun Guo , Christoph Hanhart , Alexey Nefediev , Bing-Song Zou

The $S$-wave scattering amplitudes of $J/\psi J/\psi$ with quantum numbers $J^{PC} = 0^{++}$ and $2^{++}$ are determined up to 6600\,MeV using lattice QCD calculations at $m_\pi \approx 420$ and 250\,MeV. The ${}^1S_0$ $J/\psi J/\psi$…

High Energy Physics - Lattice · Physics 2025-06-02 Geng Li , Chunjiang Shi , Ying Chen , Wei Sun

The Configuration Interaction (CI) method using a very large Laguerre orbital basis is applied to the calculation of the He ground state. The largest calculations included a minimum of 35 radial orbitals for each l ranging from 0 to 12…

Atomic Physics · Physics 2007-05-23 M. W. J. Bromley , J. Mitroy

With the advancement of first-principles calculations for baryon-baryon interactions, it becomes possible to obtain reliable hyperon-nucleon potentials by lattice QCD simulations with the HAL QCD method. High-precision few-body methods,…

Nuclear Theory · Physics 2025-11-19 E. Hiyama , T. Doi

We study theoretically the $BD\bar{D}$ and $BDD$ systems to see if they allow for possible bound or resonant states. The three-body interaction is evaluated implementing the Fixed Center Approximation to the Faddeev equations which…

High Energy Physics - Phenomenology · Physics 2018-05-11 J. M. Dias , V. R. Debastiani , L. Roca , S. Sakai , E. Oset

We review our recent work about the stability of strange few-body systems containing $N$'s, $\Lambda$'s, and $\Xi$'s. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifts…

Nuclear Theory · Physics 2025-08-26 H. Garcilazo , A. Valcarce , J. Vijande

It has been recently suggested the existence of a neutral bound state of two neutrons and a $\Lambda$ hyperon, $^3_\Lambda n$. We point out that using either simple separable potentials or a full-fledged calculation with realistic…

Nuclear Theory · Physics 2015-07-31 H. Garcilazo , A. Valcarce

A numerical analysis of a one-dimensional Hamiltonian system, composed by $N$ classical localized Heisenberg rotators on a ring, is presented. A distance $r_{ij}$ between rotators at sites $i$ and $j$ is introduced, such that the…

Statistical Mechanics · Physics 2015-05-04 Leonardo J. L. Cirto , Leonardo S. Lima , Fernando D. Nobre

At the limit of an infinite confinement strength $\omega$, the ground state of a system that comprises two fermions or bosons in a harmonic confinement interacting through the Fermi--Huang pseudopotential remains strongly correlated. A…

Chemical Physics · Physics 2023-05-24 Jerzy Cioslowski , Berthold-Georg Englert , Martin-Isbjörn Trappe , Jun Hao Hue

Possible bound and resonant states of the hypernuclear systems $\Lambda nn$ and $\Lambda\Lambda n$ are sought as zeros of the corresponding three-body Jost functions calculated within the framework of the hyperspherical approach with local…

Nuclear Theory · Physics 2008-11-26 V. B. Belyaev , S. A. Rakityansky , W. Sandhas

We start from a recently favored picture in which the $\Lambda_c(2940)$ and $\Lambda_c(2910)$ correspond mostly to $ND^*$ bound states with $J^P = 1/2^-,\, 3/2^-$ and then add a $D$ as a third particle, looking for the possible binding of…

High Energy Physics - Phenomenology · Physics 2024-05-24 Victor Montesinos , Jing Song , Wei-Hong Liang , Eulogio Oset , Juan Nieves , Miguel Albaladejo

I examined a phenomenological Nijmegen and a first principles HAL QCD $\Xi N$ potentials to study $\alpha\Xi$ ineractions. A Woods-Saxon type form for $\alpha\Xi$ potential in the single-folding potential approach is derived by using the…

Nuclear Theory · Physics 2024-06-07 Faisal Etminan

We study the possibility of existence of bound states for two interacting He-4 atoms. It is shown that for some potentials, there exist not only discrete levels but also bands akin to those in the Kronig--Penney model.

Soft Condensed Matter · Physics 2007-05-23 Stefan V. Mashkevich , Stanislav I. Vilchynskyy

Quantum mechanical scattering resonances for colliding particles occur when a continuum scattering state couples to a discrete bound state between them. The coupling also causes the bound state to interact with itself via the continuum and…

Quantum Gases · Physics 2018-11-22 Ryan Thomas , Matthew Chilcott , Eite Tiesinga , Amita B. Deb , Niels Kjærgaard

We study the asymptotic behaviors of the Nambu-Bethe-Salpeter (NBS) wave functions, which are important for the HAL QCD potential method to extract hadron interactions, in the case that a bound state exists in the system. We consider the…

High Energy Physics - Lattice · Physics 2019-12-06 Shinya Gongyo , Sinya Aoki

The lattice QCD analyses of the HAL QCD Collaboration predicts a strongly attractive potential in the $\Omega N$ $^5S_2$ channel which supports a bound state. In this paper we show that this $\Omega N$ channel together with the $NN$ $^3S_1$…

Nuclear Theory · Physics 2018-10-11 H. Garcilazo , A. Valcarce

Coupled-channel three-body calculations of an $I=1/2$, $J^{\pi}=0^-$ $\bar{K}NN$ quasi-bound state in the $\bar{K}NN - \pi \Sigma N$ system were performed and the dependence of the resulting three-body energy on the two-body $\bar{K}N - \pi…

Nuclear Theory · Physics 2008-11-26 N. V. Shevchenko , A. Gal , J. Mareš , J. Révai

Within the framework of the one-boson-exchange model, we systematically investigate the interaction between the vector meson $K^{*}$ and the baryon $\Sigma^{*}$ with the aim of exploring the possibility of forming hadronic molecular states.…

High Energy Physics - Phenomenology · Physics 2026-04-27 Yin Huang , Dan Jiang , Feng Zhang , Bo Nan Zhang