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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

We study three-body systems composed of $D^{(*)}$, $B^{(*)}$ and $\bar{B}^{(*)}$ in order to look for possible bound states or resonances. In order to solve the three-body problem, we use the fixed center approach for the Faddeev equations…

High Energy Physics - Phenomenology · Physics 2018-04-04 J. M. Dias , L. Roca , S. Sakai

The description of the three-nucleon system in terms of nucleon and $\Delta$ degrees of freedom is extended to allow for explicit pion production (absorption) from single dynamic $\Delta$ de-excitation (excitation) processes. This mechanism…

Nuclear Theory · Physics 2008-11-26 M. T. Peña , P. U. Sauer , A. Stadler , G. Kortemeyer

Based on the effective-mass concept, we perform the Faddeev calculations for a low-lying spectrum of 3$\alpha$ states in $^{12}$C nucleus. A three-body potential is used to describe the known breaking of the 3$\alpha$-cluster structure in…

Nuclear Theory · Physics 2022-12-05 Igor Filikhin , Abdennaceur Karoui , Branislav Vlahovic

We study the $^6$He Borromean nucleus in coordinate representation within a three-body model with two-body potentials derived from cluster effective field theory (EFT). These potentials are originally developed in momentum space and Fourier…

Nuclear Theory · Physics 2025-06-03 E. C. Pinilla , W. Leidemann , G. Orlandini , P. Descouvemont

The resonance and bound--state poles of the amplitude describing elastic scattering of $\eta$-meson off the light nuclei $^2H$,\,$^3H$,\, $^3He$, and $^4He$ are calculated in the framework of a microscopic approach based on few--body…

Nuclear Theory · Physics 2011-04-15 S. A. Rakityansky , S. A. Sofianos , V. B. Belyaev , W. Sandhas

We present results for the binding energies for He and ^3He nuclei calculated in quenched lattice QCD at the lattice spacing of a = 0.128 fm with a heavy quark mass corresponding to m_pi = 0.8 GeV. Enormous computational cost for the…

High Energy Physics - Lattice · Physics 2019-08-14 T. Yamazaki , Y. Kuramashi , A. Ukawa

In this paper, we establish a general framework for calculating pionless matrix elements between $A=3$ bound-states up to next-to-leading-order. This framework is useful for pionless calculations of electroweak observables, such as…

Nuclear Theory · Physics 2019-02-21 Hilla De-Leon , Lucas Platter , Doron Gazit

Some low-energy three-body muon- and electron-transfer processes are considered within the Faddeev-Hahn formulation using two-, six-, and ten-state close-coupling approximation. We test our approach in bound-state problems for systems…

Atomic and Molecular Clusters · Physics 2007-05-23 Renat A. Sultanov , Sadhan K. Adhikari

We investigate to what extent 18Ne can be descibed as a three-body system made of an inert 16O-core and two protons. We compare to experimental data and occasionally to shell model results. We obtain three-body wave functions with the…

Nuclear Theory · Physics 2015-03-17 J. A. Lay , D. V. Fedorov , A. S. Jensen , E. Garrido , C. Romero-Redondo

The pole trajectory of Efimov states for a three-body $\alpha\alpha\beta$ system with $\alpha\alpha$ unbound and $\alpha\beta$ bound is calculated using a zero-range Dirac-$\delta$ potential. It is showed that a three-body bound state turns…

Nuclear Theory · Physics 2009-01-16 M. T. Yamashita , T. Frederico , L. Tomio

Results for the three nucleon (3N) bound state carried out using the "three dimensional" (3D) formalism are presented. In this approach calculations are performed without the use of angular momentum decomposition and instead rely directly…

Nuclear Theory · Physics 2019-05-08 K. Topolnicki

The lowest-lying states of the Borromean nucleus $^{17}$Ne ($^{15}$O+$p$ + $p$) and its mirror nucleus $^{17}$N ($^{15}$N+$n$ + $n$) are compared by using the hyperspheric adiabatic expansion. Three-body resonances are computed by use of…

Nuclear Theory · Physics 2009-11-10 E. Garrido , D. V. Fedorov , A. S. Jensen

A variational approach is developed for bound state calculations in three- and four-electron atomic systems. This approach can be applied to determine, in principle, an arbitrary bound state in three- and four-electron ions and atoms. Our…

Atomic Physics · Physics 2015-05-19 Alexei M Frolov , David M. Wardlaw

The mass defect formula reflects the equivalence of mass and energy for bound nuclear systems. We study three-nucleon systems $^3$H and $^3$He, considering the neutron and proton as indistinguishable particles ($AAA$ model) or taking into…

Nuclear Theory · Physics 2024-02-26 I. Filikhin , V. M. Suslov , B. Vlahovic

We present the equation of state of infinite neutron matter as obtained from highly-realistic Hamiltonians that include nucleon-nucleon and three-nucleon coordinate-space potentials. We benchmark three independent many-body methods:…

Nuclear Theory · Physics 2022-06-08 A. Lovato , I. Bombaci , D. Logoteta , M. Piarulli , R. B. Wiringa

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

The muon capture on 3H leading to muonic neutrino and three neutrons in the final state is studied under full inclusion of final state interactions. Predictions for the three-body break-up of 3H are calculated with the AV18 potential,…

Nuclear Theory · Physics 2016-09-21 J. Golak , R. Skibinski , H. Witala , K. Topolnicki , H. Kamada , A. Nogga , L. E. Marcucci

Properties of the three-nucleon bound state are examined in the Faddeev formalism, in which the quark-model nucleon-nucleon interaction is explicitly incorporated to calculate the off-shell T-matrix. The most recent version, fss2, of the…

Nuclear Theory · Physics 2009-11-07 Y. Fujiwara , K. Miyagawa , M. Kohno , Y. Suzuki , H. Nemura

Possible bound and resonant states of the hypernuclear systems $\Lambda nn$ and $\Lambda\Lambda n$ are sought as zeros of the corresponding three-body Jost functions calculated within the framework of the hyperspherical approach with local…

Nuclear Theory · Physics 2008-11-26 V. B. Belyaev , S. A. Rakityansky , W. Sandhas