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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…

The Faddeev equations for the $\Xi NN$ bound-state problem are solved where the three $S$=$-2$ baryon-baryon interactions of J\"ulich-Bonn-M\"unchen chiral EFT, HAL QCD and Nijmegen ESC08c are used. The $T$-matrix $T_{\Xi N, \Xi N}$…

Nuclear Theory · Physics 2021-08-18 K. Miyagawa , M. Kohno

We analyze the peaks in the (Lambda p) and (Lambda d) invariant mass distributions, observed in recent FINUDA experiments and claimed to be signals of deeply bound kaonic states, and find them to be naturally explained in terms of K-…

Nuclear Theory · Physics 2010-05-13 V. K. Magas , E. Oset , A. Ramos

The three-neutron ($3n$) system is studied by numerical calculations with the Faddeev three-body formalism for a realistic nucleon-nucleon (NN) potential. A response function for the transition from ${}^3\mathrm{H}$ to $3n$ continuum states…

Nuclear Theory · Physics 2025-03-20 Souichi Ishikawa

We report on the first genuinely three-body ${\bar K}NN - \pi \Sigma N$ coupled-channel Faddeev calculation in search for quasi-bound states in the $K^- p p$ system. The main absorptivity in the $K^- p$ subsystem is accounted for by fitting…

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

We study the production of $\Lambda$ hyperons in $p + A$ reactions on the basis of a BUU transport approach from 1.1 to 1.9 GeV and evaluate the properties of the hypernuclei produced in particular with respect to their momentum…

Nuclear Theory · Physics 2007-05-23 W. Cassing , Z. Rudy , L. Jarczyk , B. Kamys , P. Kulessa , O. W. B. Schult , A. Sibirtsev , A. Strzałkowski

Exact Faddeev-type three-body equations are applied to the study of the proton transfer reactions $(d,n)$ in the system consisting of a nuclear core and two nucleons. The integral equations for the three-body transition operators are solved…

Nuclear Theory · Physics 2017-06-05 A. Deltuva

Results on the production of the double-strange cascade hyperon $\mathrm{\Xi^-}$ are reported for collisions of p\,(3.5~GeV)\,+\,Nb, studied with the High Acceptance Di-Electron Spectrometer (HADES) at SIS18 at GSI Helmholtzzentrum for…

Following recent work in which events which may correspond to a bound tetraneutron ($^4$n) were observed, it is pointed out that from the theoretical perspective the two-body nucleon-nucleon force cannot by itself bind four neutrons, even…

Nuclear Theory · Physics 2016-09-08 N. K. Timofeyuk

The possibility of an $nn\Lambda$ bound state is investigated in the framework of pionless effective field theory at leading order. A system of coupled integral equations are constructed in the spin-isospin basis, of which numerical…

Nuclear Theory · Physics 2015-09-09 Shung-Ichi Ando , Udit Raha , Yongseok Oh

The $\Lambda\Lambda$-$\Xi N$-$\Sigma\Sigma$ coupling in $^{~6}_{\Lambda\Lambda}$He is studied with the [$\alpha$ + $\Lambda$ + $\Lambda$] + [$\alpha$ + $\Xi$ + $N$] + [$\alpha$ + $\Sigma$ + $\Sigma$] model, where the $\alpha$ particle is…

Nuclear Theory · Physics 2009-11-10 Taiichi Yamada

We calculate the binding energy of two $\Lambda$ hyperons bound to a nuclear core within the relativistic mean field theory. The starting point is a two-body relativistic equation of the Breit type suggested by the RMFT, and corrected for…

Nuclear Theory · Physics 2016-09-08 S. Marcos , R. J. Lombard , J. Mares

We describe {\it ab initio} calculations of doubly strange, $S=-2$, $s$-shell hypernuclei ($^4_{\Lambda\Lambda}$H, $^5_{\Lambda\Lambda}$H, $^5_{\Lambda\Lambda}$He and $^6_{\Lambda\Lambda}$He) as a first attempt to explore the few-body…

Nuclear Theory · Physics 2008-11-26 H. Nemura , S. Shinmura , Y. Akaishi , Khin Swe Myint

The halo nucleus $^{11}$Li is treated as a three-body system consisting of an inert core of $^{9}$Li plus two valence neutrons. The Faddeev equations are solved using separable potentials to describe the two-body interactions, corresponding…

Nuclear Theory · Physics 2009-10-31 K. Ueta , H. Miyake , G. W. Bund

s- and p-wave $\Lambda$ single-particle enrgies are obtained for a variety of $\Lambda$ hypernuclei from the relevant self-energy constructed within the framework of a perturbative many-body approach. Results are presented for present…

Nuclear Theory · Physics 2007-05-23 I. Vidaña , A. Polls , A. Ramos , M. Hjorth-Jensen

Results on $\Lambda$, $\bar{\Lambda}}$, $\Xi^{-}$, and $\bar{\Xi}^{+}$ production in central Pb+Pb reactions at 20A, 30A, 40A, 80A, and 158A GeV are presented. The energy dependence of transverse mass spectra, rapidity spectra, and…

Nuclear Experiment · Physics 2012-08-27 NA49 Collaboration

The six-nucleon problem for the bound state is formulated in the Yakubovsky scheme. Hints for a numerical implementation are provided.

Nuclear Theory · Physics 2011-05-09 W. Gloeckle , H. Witala

An accurate assessment of the hyperon-nucleon interaction is of great interest in view of recent observations of very massive neutron stars. The challenge is to build a realistic interaction that can be used over a wide range of masses and…

Nuclear Theory · Physics 2014-01-22 Diego Lonardoni , Francesco Pederiva , Stefano Gandolfi

Equivalent interactions in a low-momentum space for the $\Lambda N$, $\Sigma N$ and $\Xi N$ interactions are calculated, using the SU$_6$ quark model potential as well as the Nijmegen OBEP model as the input bare interaction. Because the…

Nuclear Theory · Physics 2008-11-26 M. Kohno , R. Okamoto , H. Kamada , Y. Fujiwara