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The Nijmegen OBE potential D is SU(3) rotated to model the strangeness -2 sector of the baryon-baryon force. Soft core repulsion is introduced to regularize the singular nature of the OBE functions. The strength of the $^1$S$_0$ $t=0$…

Nuclear Theory · Physics 2011-08-17 S. B. Carr , I. R. Afnan , B. F. Gibson

Within the framework of the Faddeev equations we demonstrate that a $\Lambda\Lambda-\Xi N$ interaction that gives a $\Lambda\Lambda$ scattering length comparable to the $nn$ scattering length, and the binding energy of $^{\…

Nuclear Theory · Physics 2009-10-30 I. R. Afnan

To understand the difference between the value of the nn and Lambda-Lambda two-body matrix elements, we examine the role of the coupling between the Lambda-Lambda and Xi-N channels, first within the framework of SU(3), and second in the…

Nuclear Theory · Physics 2017-08-23 I. R. Afnan

Variational Monte Carlo calculations for ${_{\Lambda}^4}H$ (ground and excited states) and ${_{\Lambda}^5}He$ are performed to decipher information on ${\Lambda}$-nuclear interactions. Appropriate operatorial nuclear and ${\Lambda}$-nuclear…

Nuclear Theory · Physics 2009-11-07 Rita Sinha , Q. N. Usmani , B. M. Taib

The $\Lambda\Lambda$ bond energy $\Delta B_{\Lambda \Lambda}$ in $\Lambda\Lambda$ hypernuclei is obtained from a $G$-matrix calculation which includes the coupling between the $\Lambda\Lambda$, $\Xi N$ and $\Sigma\Sigma$ channels, as well…

Nuclear Theory · Physics 2009-11-10 I. Vidana , A. Ramos , A. Polls

The reaction $\Xi^-d\to n\Lambda\Lambda$ is studied within the framework of the Faddeev equations as a possible tool to gain insight into the final state $\Lambda$--$\Lambda$ interaction. The neutron differential energy spectrum gives a…

Nuclear Theory · Physics 2008-11-26 S. B. Carr , I. R. Afnan , B. F. Gibson

We report on the first results of a full three-body calculation of the $\bar{K}NN$-$\pi YN$ amplitude for the $K^-d\rightarrow\pi\Sigma n$ reaction, and examine how the $\Lambda(1405)$ resonance manifests itself in the neutron energy…

Nuclear Theory · Physics 2015-06-22 Shota Ohnishi , Yoichi Ikeda , Tetsuo Hyodo , Emiko Hiyama , Wolfram Weise

Neutron spectra from the reaction $K^-+d\rightarrow \pi+\Sigma+n$ were calculated in the energy range $E^{cm}_{K^-}= 0-50\ MeV$ using coupled channel Faddeev equations for the description of the $\bar KNN-\pi\Sigma N$ three-body system. The…

Nuclear Theory · Physics 2013-03-11 János Révai

In present work, we investigated $K^{-}+\, ^{3}\mathrm{He}$ reaction at low energies. The coupled-channel Faddeev AGS equations were solved for $\bar{K}Nd-\pi\Sigma{d}$ three-body system in momentum representation to extract the scattering…

Nuclear Theory · Physics 2021-04-28 J. Esmaili , S. Marri , M. Raeisi , A. Naderi Beni

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

$\Lambda N $ potentials recovered through the application of $s$-wave inverse scattering on theoretical data are demonstrated on the $\Lambda NN $ three-body problem. The spin-dependent Malfliet-Tjon I/III potential, with benchmark…

Nuclear Theory · Physics 2020-10-13 Emile Meoto , Mantile Lekala

We construct a folding potential between the $\alpha$ and $\Lambda$ particles based on underlying nucleon-nucleon and hyperon-nucleon interactions. Starting from a phenomenological $\Lambda$-N potential and a Gaussian form of the…

Nuclear Theory · Physics 2022-08-09 Htun Htun Oo , Hiroyuki Kamada

An OBE potential model for the ^{1}S_0 S = -2 interaction is analyzed with emphasis on the role of coupling between the Lambda Lambda, N Xi, and Sigma Sigma channels. Singlet scalar exchange, an approximation to two-pion exchange, is…

Nuclear Theory · Physics 2009-11-07 I. R. Afnan , B. F. Gibson

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

The hypernuclei $^4_\Lambda$He and $^4_\Lambda$H provide important information on the hyperon-nucleon interaction. We present accurate Faddeev-Yakubovsky calculations for the $\Lambda$ separation energies of the $0^+$ ground and the $1^+$…

Nuclear Theory · Physics 2009-11-07 A. Nogga , H. Kamada , W. Gloeckle

The structure of the three-body $nn\Lambda$ system, which has been observed recently by the HypHI collaboration, is investigated taking $\Lambda N-\Sigma N$ coupling explicitly into account. The $YN$ and $NN$ interactions employed in this…

Nuclear Theory · Physics 2015-06-19 E. Hiyama , S. Ohnishi , B. F. Gibson , Th. A. Rijken

Experimental evidence exists that the $\Xi$-nucleus interaction is attractive. We search for $NN\Xi$ and $NNN\Xi$ bound systems on the basis of the AV8 $NN$ potential combined with either a phenomenological Nijmegen $\Xi N$ potential or a…

Nuclear Theory · Physics 2020-03-16 E. Hiyama , K. Sasaki , T. Miyamoto , T. Doi , T. Hatsuda , Y. Yamamoto , Th. A. Rijken

Recent experiments on production of Lambda-Lambda hypernuclei have renewed interest in extracting the Lambda-Lambda interaction from the few events identified since the inception of this field forty years ago. Few-body calculations relating…

Nuclear Theory · Physics 2009-11-10 Avraham Gal

The $\Lambda(1405)$ resonance production reaction is investigated within the framework of the coupled-channels Alt-Grassberger-Sandhas (AGS) equations. We perform full three-body calculations for the $\bar{K}NN-\pi YN$ amplitudes on the…

Nuclear Theory · Physics 2016-03-08 Shota Ohnishi , Yoichi Ikeda , Tetsuo Hyodo , Wolfram Weise

The self--energy of the strange baryon $\Lambda$ in $^{17}$O is calculated using a microscopic many--body approach which accounts for correlations beyond the mean--field or Hartree--Fock approximation. The non-locality and energy-dependence…

Nuclear Theory · Physics 2009-10-30 M Hjorth-Jensen , A Polls , A Ramos , H Muether
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