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A four-body calculation of the $pn\Lambda\Lambda$ bound state, $^{\ 4}_{\Lambda\Lambda}$H, is performed using the stochastic variational method and phenomenological potentials. The $NN$, $\Lambda N$, and $\Lambda\Lambda$ potentials are…

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

We apply the Lee-Suzuki iteration method to calculate the linked-folded diagram series for a new Nijmegen local NN potential. We obtain an exact starting-energy-independent effective two-body interaction for a multi-shell, no-core,…

Nuclear Theory · Physics 2009-10-22 D. C. Zheng , B. R. Barrett , J. P. Vary , R. J. McCarthy

We first determine the Lambda-N S-wave phase shifts so as to reproduce the experimental Lambda separation energies of A=3, 4 Lambda-hypernuclei, and then construct three phase-equivalent Lambda-N potentials with different central repulsion.…

Nuclear Theory · Physics 2009-10-31 Hidekatsu Nemura , Yasuyuki Suzuki , Yoshikazu Fujiwara , Choki Nakamoto

The energy spectra of light-mass kaonic nuclei were investigated using the theoretical framework of the $0s$-orbital model with zero-range $\bar{K} N$ and $\bar{K}\bar{K}$ interactions of effective single-channel real potentials. The…

Nuclear Theory · Physics 2021-06-30 Yoshiko Kanada-En'yo

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

New Faddeev-Yakubovsky calculations for light Lambda-Lambda hypernuclei are presented in order to assess the self consistency of the Lambda-Lambda hypernuclear binding-energy world data and the implied strength of the Lambda-Lambda…

Nuclear Theory · Physics 2009-11-07 I. N. Filikhin , A. Gal

We present an effective field theory (EFT) at leading order to describe light single-$\Lambda$ hypernuclei. Owing to the weak $\Lambda$ binding and to the $\Lambda N$ short interaction range, meson exchange forces are approximated by…

Nuclear Theory · Physics 2019-09-04 Lorenzo Contessi , Nir Barnea , Avraham Gal

We develop the formalism to study the hyperon-nucleon interaction potential within the bound state approach to the SU(3) Skyrme model. The general framework is illustrated by applying it to the diagonal $\Lambda N$ potential. The central,…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. L. Thomas , V. E. Herscovitz , C. L. Schat , N. N. Scoccola

Variational Monte-Carlo calculations are carried out for ${_{\Lambda\Lambda}^4}H$ to explore on the possibility of its existence, using realistic NN, NNN, and phenomenological {\Lambda}N and {\Lambda}NN interactions. We also perform…

Nuclear Theory · Physics 2025-02-27 Bhupali Sharma

The non-symmetrized hyperspherical harmonics method for a three-body system, composed by two particles having equal masses, but different from the mass of the third particle, is reviewed and applied to the $^3$H, $^3$He nuclei and…

Nuclear Theory · Physics 2018-10-22 A. Nannini , L. E. Marcucci

Background: The calculation of the hyperon binding energy in hypernuclei is crucial to understanding the interaction between hyperons and nucleons. Purpose: We assess the relative importance of two- and three-body hyperon-nucleon force by…

Nuclear Theory · Physics 2013-12-16 D. Lonardoni , S. Gandolfi , F. Pederiva

The role of the three-body interactions in the ground-states of 3H and 4He nuclei has been investigated by using two different methods. Accordingly, the ground-state nuclear wave functions, the binding energies, the root mean-square radii…

Nuclear Theory · Physics 2015-09-08 S. B. Doma , H. S. El-Gendy

We calculate the ground state binding energies of the light nuclei such as 4He, 6Li, 12C and 14N by considering the effect of three-body nucleon-nucleon interaction. We use the effective twobody potential obtained from the lowest order…

Nuclear Theory · Physics 2025-02-26 F. Kamgar , G. H. Bordbar , S. M. Zebarjad , M. A. Rastkhadiv

We assume a triple geometric structure for the electromagnetic nuclear interaction. This nuclear electromagnetism is used to calculate the binding energies of the deuteron and the neutron. The corresponding Pauli quantum wave equation in a…

General Physics · Physics 2008-03-06 Gustavo R. Gonzalez-Martin

The $S$-wave $\Lambda\Lambda$ and $N \Xi$ interactions are studied on the basis of the (2+1)-flavor lattice QCD simulations close to the physical point ($m_\pi \simeq 146{\rm{MeV}}$ and $m_K \simeq 525{\rm{MeV}}$). Lattice QCD potentials in…

We consider a multiatomic system where the nuclei are assumed to be point charges at fixed positions. Particles interact via Coulomb potential and electrons have pseudo-relativistic kinetic energy. We prove the van der Waals-London law,…

Mathematical Physics · Physics 2022-11-16 Jean-Marie Barbaroux , Michael Hartig , Dirk Hundertmark , Semjon Vugalter

A minimally constructed $\Lambda$-nucleus density-dependent optical potential is used to calculate binding energies of observed $1s_{\Lambda}$, $1p_{\Lambda}$ states across the periodic table, leading to a repulsive $\Lambda NN$…

Nuclear Theory · Physics 2023-01-11 Eliahu Friedman , Avraham Gal

Two spin-doublet states of %$3/2^+$-$1/2^+$ and $7/2^+$-$5/2^+$ in $^7_{\Lambda}$Li are studied on the basis of the $\alpha +\Lambda +n+p$ four-body model. We employ the two-body interactions which reproduce the observed properties of any…

Nuclear Theory · Physics 2008-11-26 E. Hiyama , Y. Yamamoto , Th. A. Rijken , T. Motoba

Binding energies of ^{3}H, ^{4}He, and ^{16}O are calculated, using low-momentum nucleon-nucleon interactions (V_{low-k}) for a wide range of the cutoff momentum \Lambda. In addition, single-particle energies in nuclei around ^{16}O are…

Nuclear Theory · Physics 2017-08-23 S. Fujii , H. Kamada , R. Okamoto , K. Suzuki

We assume a triple geometric structure for the electromagnetic nuclear interaction. This nuclear electromagnetism is used to calculate the binding energies of the alpha particle and the A=3 isobar nuclides. The approximation for the…

General Physics · Physics 2008-05-06 Gustavo R. Gonzalez-Martin