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Precise four-body calculations for $^4_{\Lambda}$He and $^4_{\Lambda}$H have been performed in the framework of the variational method with Jacobian-coordinate Gaussian-basis functions. All the rearrangement channels of both $NNN \Lambda$…

Nuclear Theory · Physics 2009-11-07 E. Hiyama , M. Kamimura , T. Motoba , T. Yamada , Y. Yamamoto

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

Auxiliary Field Diffusion Monte Carlo (AFDMC) calculations have been employed to revise the interaction between $\Lambda$-hyperons and nucleons in hypernuclei. The scheme used to describe the interaction, inspired by the phenomenological…

Nuclear Theory · Physics 2014-08-21 Diego Lonardoni , Francesco Pederiva , Stefano Gandolfi

Leading-order three-nucleon forces that violate isospin symmetry are calculated in Chiral Perturbation Theory. The effect of the charge-symmetry-breaking three-nucleon force is investigated in the trinucleon systems using Faddeev…

Nuclear Theory · Physics 2014-11-18 J. L. Friar , G. L. Payne , U. van Kolck

The separation energies of the isospin triplet $^7_\Lambda\mathrm{He}$, $^7_\Lambda \mathrm{Li^{*}}$, $^7_\Lambda$Be, and the $T=1/2$ doublet $^8_\Lambda$Li, $^8_\Lambda$Be are investigated within the no-core shell model. Calculations are…

Nuclear Theory · Physics 2023-03-08 Hoai Le , Johann Haidenbauer , Ulf-G. Meißner , Andreas Nogga

A new method is developed for treating the effect of the neutron-proton mass difference in isospin-violating nuclear forces. Previous treatments utilized an awkward subtraction scheme to generate these forces. A field redefinition is used…

Nuclear Theory · Physics 2014-11-18 J. L. Friar , U. van Kolck , M. C. M. Rentmeester , R. G. E. Timmermans

The Non-Symmetrized Hyperspherical Harmonics method (NSHH) is introduced in the hypernuclear sector and benchmarked with three different ab-initio methods, namely the Auxiliary Field Diffusion Monte Carlo method, the Faddeev-Yakubovsky…

In the last years auxiliary field diffusion Monte Carlo has been used to assess the properties of hypernuclear systems, from light- to medium-heavy hypernuclei and hyper-neutron matter. One of the main findings is the key role played by the…

Understanding the strong interactions within baryonic systems beyond the up and down quark sector is pivotal for a comprehensive description of nuclear forces. This study explores the interactions involving hyperons, particularly the…

Nuclear Theory · Physics 2024-10-08 Fabian Hildenbrand , Serdar Elhatisari , Zhengxue Ren , Ulf-G. Meißner

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

Based on the leading-order covariant pionless effective field theory, a relativistic nuclear Hamiltonian is derived and solved using the variational Monte Carlo approach for $A\le 4$ nuclei by representing the nuclear many-body wave…

Nuclear Theory · Physics 2022-11-24 Y. L. Yang , P. W. Zhao

In relativistic Hamiltonians the two-nucleon interaction is expressed as a sum of $\tilde{v}_{ij}$, the interaction in the ${\bf P}_{ij}=0$ rest frame, and the ``boost interaction'' $\delta v({\bf P}_{ij})$ which depends upon the total…

Nuclear Theory · Physics 2009-10-28 J. L. Forest , V. R. Pandharipande , J. Carlson , R. Schiavilla

We report quantum Monte Carlo calculations of single-$\Lambda$ hypernuclei for $A<50$ based on phenomenological two- and three-body hyperon-nucleon forces. We present results for the $\Lambda$ separation energy in different hyperon orbits,…

Nuclear Theory · Physics 2018-08-13 Diego Lonardoni , Francesco Pederiva

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 calculate the properties of isospin-asymmetric nuclear matter based on chiral nucleon-nucleon (NN) and three-nucleon (3N) interactions. To this end, we develop an improved normal-ordering framework that allows to include general 3N…

Nuclear Theory · Physics 2016-12-12 Christian Drischler , Kai Hebeler , Achim Schwenk

The $n+{}^3$H, $p+{}^3$He, $p+{}^3$H, and $n+{}^3$He elastic and charge exchange reactions at low energies are studied by means of the hyperspherical harmonic method. The considered nuclear Hamiltonians include modern two- and three-nucleon…

Nuclear Theory · Physics 2020-04-01 M. Viviani , L. Girlanda , A. Kievsky , L. E. Marcucci

Bound-state-like wave functions are used to determine the scattering matrix corresponding to low energy $N-d$ and $p-^3$He collisions. To this end, the coupled channel form of the integral relations derived from the Kohn variational…

Nuclear Theory · Physics 2015-05-30 A. Kievsky , M. Viviani , L. E. Marcucci

We report a variational calculation of ground state energies and radii for 4He_N droplets (3 \leq N \leq 40), using the atom-atom interaction HFD-B(HE). The trial wave function has a simple structure, combining two- and three-body…

Atomic and Molecular Clusters · Physics 2009-10-31 R. Guardiola , M. Portesi , J. Navarro

An extended version of the antisymmetrized molecular dynamics to study structure of $p$-$sd$ shell hypernuclei is developed. By using an effective $\Lambda N$ interaction, we investigate energy curves of $^9_\Lambda$Be, $^{13}_\Lambda$C and…

Nuclear Theory · Physics 2011-05-13 Masahiro Isaka , Masaaki Kimura , Akinobu Dote , Akira Ohnishi

A saturating hamiltonian is presented in a relativistically covariant formalism. The interaction is described by scalar and vector mesons, with coupling strengths adjusted to the nuclear matter. No explicit density depe ndence is assumed.…

Nuclear Theory · Physics 2022-02-23 H. Feldmeier , J. Németh , G. Papp