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We study two particles colliding in a $d$-dimensional finite volume and generalize L\"uscher's formula to arbitrary $d$ spatial dimensions. We obtain the $s$- and $p$-wave approximations of the generalized L\"uscher's formula. For resonant…

Nuclear Theory · Physics 2019-05-14 Shangguo Zhu , Shina Tan

We study the coupled $\Lambda\Lambda nn-\Xi^- pnn$ system to check whether the inclusion of channel coupling is able to bind the $\Lambda\Lambda nn$ system. We use a separable potential three-body model of the coupled $\Lambda\Lambda nn -…

Nuclear Theory · Physics 2019-11-27 H. Garcilazo , A. Valcarce , J. Vijande

We calculate resonances in three-body systems with attractive Coulomb potentials by solving the homogeneous Faddeev-Merkuriev integral equations for complex energies. The equations are solved by using the Coulomb-Sturmian separable…

Atomic Physics · Physics 2009-11-10 Z. Papp , J. Darai , J. Zs. Mezei , Z. T. Hlousek , C-. Y. Hu

Variational Monte Carlo study has been done for the two hypernuclear systems $_\Lambda^4$H and $_\Lambda^4$H$^*$ for calculation of binding energies. For the two hypernuclear systems under study, different potential models have been used…

Nuclear Theory · Physics 2025-02-25 Bhupali Sharma

We compute the strengths of zero-th order (in eccentricity) three-body resonances for a co-planar and low eccentricity multiple planet system. In a numerical integration we illustrate that slowly moving Laplace angles are matched by…

Earth and Planetary Astrophysics · Physics 2015-05-28 Alice C. Quillen

We use two-body potentials derived from a constituent quark cluster model to analyze the bound-state problem of the $\Sigma NN$ system. The observables of the two-body subsystems, $NN$ and $\Sigma N$, are well reproduced. We do not find…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Fernandez-Carames , A. Valcarce , H. Garcilazo , P. Gonzalez

A study of 3-body resonances has been performed in the framework of configuration space Faddeev equations. The importance of keeping a sufficient number of terms in the asymptotic expansion of the resonance wave function is pointed out. We…

Nuclear Theory · Physics 2008-11-26 H. Witala , W. Gloeckle

$N$-body non efimovian bound or quasi-bound states for particles with short range interactions are considered in arbitrary dimensions. The different resonance regimes near the threshold are depicted by using a generalization of the…

Quantum Gases · Physics 2024-10-09 Ludovic Pricoupenko

A depth of $D_{\Lambda}\approx -28$ MeV for the $\Lambda$-nucleus potential was confirmed in 1988 by studying $\Lambda$ binding energies deduced from $(\pi^+,K^+)$ spectra measured across the periodic table. Modern two-body hyperon-nucleon…

Nuclear Theory · Physics 2023-01-11 E. Friedman , A. Gal

The main features of nuclear reactions with participation of baryon resonances ($\Delta$(1232), S(1535) and $\Lambda$(1405)), which are interpreted as a manifestation of the bound states of nucleus and corresponding meson are discussed.

Nuclear Theory · Physics 2007-07-09 O. D. Dalkarov

We study three-body systems composed of $D^{(*)}$, $B^{(*)}$ and $\bar{B}^{(*)}$ in order to look for possible bound states or resonances. In order to solve the three-body problem, we use the fixed center approach for the Faddeev equations…

High Energy Physics - Phenomenology · Physics 2018-04-04 J. M. Dias , L. Roca , S. Sakai

Explicit expressions for the leading chiral hyperon-nucleon-nucleon three-body forces have been derived by Petschauer et al [Phys. Rev. C93.014001 (2016)]. An important prerequisite for including these three-body forces in few- and…

We expose the relation between the properties of the three-body continuum states and their two-body subsystems. These properties refer to their bound and virtual states and resonances, all defined as poles of the $S$-matrix. For one…

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

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

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

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

The lattice QCD analysis of the HAL QCD Collaboration has recently derived $\Omega N$ and $\Omega\Omega$ interacting potentials with nearly physical quark masses ($m_\pi \simeq $ 146 MeV and $m_K \simeq $ 525 MeV). They found an attractive…

High Energy Physics - Phenomenology · Physics 2019-01-24 H. Garcilazo , A. Valcarce

We have studied the reaction eta d -> eta d close to threshold within a nonrelativistic three-body formalism. We considered several eta N and NN models, in particular potentials with separable form, fitted to the low-energy eta N and NN…

Nuclear Theory · Physics 2009-11-06 H. Garcilazo , M. T. Pena

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 show that the bound states in a three-body system display a Coulomb series with a Gaussian cut-off provided: (i) the system consists of a light particle and two heavy bosonic ones, (ii) the heavy-light short-range potential has a…

Quantum Physics · Physics 2014-07-15 Maxim A. Efremov , Wolfgang P. Schleich