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Recent work on using density dependent $\Lambda$-nuclear optical potentials in calculations of $\Lambda$-hypernuclear binding energies is reviewed. It is found that all known $\Lambda$ binding energies in the mass range $16 \leq A \leq 208$…

Nuclear Theory · Physics 2026-02-11 Eliahu Friedman , Avraham Gal

The Faddeev-Yakubovsky equations for the alpha-particle are solved. Accurate results are obtained for several modern NN interaction models, which include charge-symmetry breaking effects in the NN force, nucleon mass dependences as well as…

Nuclear Theory · Physics 2008-11-26 A. Nogga , H. Kamada , W. Gloeckle , B. R. Barrett

Using the folding procedure, we investigate the bound state of the $\Omega$+$\alpha$ system based on $\Omega$-$N$ ($^{5}S_{2}$) HAL QCD potential. Previous theoretical analyses have indicated the existence of a deeply bound ground state,…

Nuclear Theory · Physics 2026-05-14 Igor Filikhin , Roman Ya. Kezerashvili , Branislav Vlahovic

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

In a recent paper [PLB 837 (2023) 137669] we showed that all measured ($1s_\Lambda$, $1p_\Lambda$) pairs of $\Lambda$ binding energies in $\Lambda$-hypernuclei across the periodic table, $12\leq A \leq 208$, can be obtained from a…

Nuclear Theory · Physics 2023-08-15 E. Friedman , A. Gal

We address the $\Lambda$-hypernuclear `overbinding problem' in light hypernuclei which stands for a 1--3 MeV excessive $\Lambda$ separation energy calculated in $_{\Lambda}^5$He. This problem arises in most few-body calculations that…

Nuclear Theory · Physics 2018-09-12 Lorenzo Contessi , Nir Barnea , Avraham Gal

The cluster $^4\rm He+\Lambda+\rm n$ model is applied to describe the $^6_\Lambda$He hypernucleus. The consideration is based on the configuration space Faddeev equations for a system of non-identical particles. A set of the pair potentials…

Nuclear Theory · Physics 2014-03-05 I. Filikhin , V. M. Suslov , B. Vlahovic

The structure of single-$\Lambda$ hypernuclei is studied using the chiral hyperon-nucleon potentials derived at leading order (LO) and next-to-leading order (NLO) by the J\"{u}lich--Bonn--Munich group. Results for the separation energies of…

Nuclear Theory · Physics 2020-03-18 Johann Haidenbauer , Isaac Vidana

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

Stimulated by recent indications that the binding energy of the hypertriton could be significantly larger than so far assumed, requirements of a more strongly bound $^3_\Lambda {\rm H}$ state for the hyperon-nucleon interaction and…

Nuclear Theory · Physics 2021-01-20 Hoai Le , Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

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 examine the $\Lambda$-${}^4\mathrm{He}$ ($\alpha$) momentum correlation in high-energy collisions to elucidate the interaction between Lambdas ($\Lambda$) and nucleons ($N$). We compare phenomenological $\Lambda\alpha$ potentials with…

Nuclear Theory · Physics 2024-07-08 Asanosuke Jinno , Yuki Kamiya , Tetsuo Hyodo , Akira Ohnishi

Configuration space Faddeev calculations are performed for the binding energy of Lambda-Lambda-6He and Lambda-9Be bound states, here considered as alpha-Lambda-Lambda and alpha-alpha-Lambda clusters respectively, in order to study the…

Nuclear Theory · Physics 2009-11-10 I. Filikhin , A. Gal , V. M. Suslov

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

Variational study of $_\Lambda ^5$He hypernucleus is presented using a realistic Hamiltonian and a fully correlated wave function including $\Lambda N$ space-exchange correlation. Behaviour of the $\Lambda$-separation energy ($B_\Lambda$)…

Nuclear Theory · Physics 2008-11-26 A. A. Usmani , F. C. Khanna

The repulsive three-body force between the lambda ($\Lambda$) hyperon and medium nucleons is a key element in solving the hyperon puzzle in neutron stars. We investigate the binding energies of $\Lambda$ hyperon in hypernuclei to verify the…

Nuclear Theory · Physics 2023-12-14 Asanosuke Jinno , Koichi Murase , Yasushi Nara , Akira Ohnishi

We solve the Faddeev-Yakubovsky equations for 3N and 4N bound states based on the most modern realistic nucleon-nucleon interactions. We include different realistic 3N forces. It is shown that all 3N force models can remove the underbinding…

Nuclear Theory · Physics 2009-11-06 A. Nogga , H. Kamada , W. Gloeckle

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

Evidence for particle stability of Lambda-Lambda hydrogen-4 (4LLH) has been suggested by the BNL-AGS E906 experiment. We report on Faddeev-Yakubovsky calculations for the four-body Lambda-Lambda-p-n system using Lambda-N interactions which…

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

We explore the possible existence of light $\phi$-mesic nuclei using HAL QCD $\phi N$ interactions for the $^2S_{1/2}$ and $^4S_{3/2}$ channels. Particularly, using the Faddeev formalism in configuration space, the $\phi NN$ system, and…

Nuclear Theory · Physics 2026-01-21 I. Filikhin , R. Ya. Kezerashvili , B. Vlahovic
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