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Related papers: $\Lambda NN $ three-body problem within $s$-wave i…

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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

The developed Faddeev three-body equations are solved to search for bound-state solutions of a phi-meson $ \left(\phi\right) $ and two nucleons $ \left( \textrm{NN} \right) $ system. The newly published spin $ 3/2 $ $…

Nuclear Theory · Physics 2024-06-07 Faisal Etminan , Amanullah Aalimi

We have investigated S-wave bound states composed of three identical bosons interacting via regulated delta function potentials in non-relativistic quantum mechanics. For low-energy systems, these short-range potentials serve as an…

Nuclear Theory · Physics 2007-05-23 R. F. Mohr

Perturbative expansions, the Born series, of the scattering length and the amplitude of $S$-wave neutron-deuteron scattering for spin quartet channel below deuteron breakup threshold are studied in pionless effective field theory at small…

Nuclear Theory · Physics 2014-03-25 Shung-Ichi Ando

We investigate the prospects of combining a standard momentum space approach for ultracold three-body scattering with efficient coordinate space schemes to solve the underlying two-body problem. In many of those schemes the two-body problem…

Quantum Gases · Physics 2021-03-17 T. Secker , J. -L. Li , P. M. A. Mestrom , S. J. J. M. F. Kokkelmans

The $\Lambda\Lambda$ interaction resulting from the SU(3) rotation of the S-wave component of the Nijmegen OBE potential $D$ is used to calculate the binding energy of $^{ 6}_{\Lambda\Lambda}$He as a $\Lambda\Lambda\alpha$ three-body…

Nuclear Theory · Physics 2009-10-30 S. B. Carr , I. R. Afnan , B. F. Gibson

Available data on large-angle nucleon-deuteron elastic scattering $Nd\to dN$ below the pion threshold give a signal for three-body forces. There is a problem of separation of possible subtle aspects of these forces from off-shell effects in…

Nuclear Theory · Physics 2009-11-07 Yu. N. Uzikov

The lattice QCD analysis of the HAL QCD Collaboration has recently derived $\Omega N$ and $\Omega\Omega$ interacting potentials with nearly physical quark masses ($m_\pi \simeq $ 146 MeV and $m_K \simeq $ 525 MeV). They found an attractive…

High Energy Physics - Phenomenology · Physics 2019-01-24 H. Garcilazo , A. Valcarce

We consider an inverse $N$-body scattering problem of determining two potentials---an external potential acting on all particles and a pair interaction potential---from the scattering particles. This paper finds that the time-dependent…

Mathematical Physics · Physics 2019-12-20 Michiyuki Watanabe

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

Using the two-body interactions obtained from a chiral constituent quark model we study all $\Lambda NN$ and $\Sigma NN$ states with I=0,1,2 and J=1/2,3/2 at threshold, taking into account all three-body configurations with S and D wave…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Garcilazo , A. Valcarce , T. Fernandez-Carames

Doublet Lambda d scattering and the hypertriton are studied in the framework of an effective field theory for large scattering lengths. As in the triton case, consistent renormalization requires a one-parameter three-body force at leading…

Nuclear Theory · Physics 2009-11-07 H. -W. Hammer

Coupled-channel three-body calculations of an $I=1/2$, $J^{\pi}=0^-$ $\bar{K}NN$ quasi-bound state in the $\bar{K}NN - \pi \Sigma N$ system were performed and the dependence of the resulting three-body energy on the two-body $\bar{K}N - \pi…

Nuclear Theory · Physics 2008-11-26 N. V. Shevchenko , A. Gal , J. Mareš , J. Révai

The effective field theory approach is applied to the three-nucleon process of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the…

Nuclear Theory · Physics 2007-05-23 F. Gabbiani

The S-wave effective range parameters of the neutron-deuteron (nd) scattering are derived in the Faddeev formalism, using a nonlocal Gaussian potential based on the quark-model baryon-baryon interaction fss2. The spin-doublet low-energy…

Nuclear Theory · Physics 2015-03-17 Kenji Fukukawa , Yoshikazu Fujiwara

We employ the nuclear lattice effective field theory (NLEFT), an efficient tool for nuclear ab initio calculations, to solve the asymmetric multihadron systems. We take the $DD^*K$ three-body system as an illustration to demonstrate the…

High Energy Physics - Phenomenology · Physics 2025-02-05 Zhenyu Zhang , Xin-Yue Hu , Guangzhao He , Jun Liu , Jia-Ai Shi , Bing-Nan Lu , Qian Wang

Faddeev equations for elastic Nd scattering have been solved using modern NN forces combined with the Tucson-Melbourne two-pion exchange three-nucleon force, with a modification thereof closer to chiral symmetry and the Urbana IX…

Nuclear Theory · Physics 2009-11-06 H. Witala , W. Gloeckle , J. Golak , A. Nogga , H. Kamada , R. Skibiński , J. Kuros-Zolnierczuk , .

Within the framework of the Faddeev formalism in configuration space, we investigate bound states in the $\phi NN$ system with total isospin $T=0$ and $T=1$. The recently proposed lattice HAL QCD $\phi N$ potential in the $^{4}S_{3/2}$…

Nuclear Theory · Physics 2024-08-21 Igor Filikhin , Roman Ya. Kezerashvili , Branislav Vlahovic

This work provides the first combined analysis of low-energy p$\Lambda$ scattering, considering both cross section and correlation data. The obtained results establish the most stringent constraints to date on the two-body p$\Lambda$…

Nuclear Theory · Physics 2024-11-01 D. L. Mihaylov , J. Haidenbauer , V. Mantovani Sarti

A simple analytic expression of the three-body wave function describing the system $(\alpha\alpha n)$ in the ground state $\frac{3}{2}^-$ of ${}^9\mathrm{Be}$ is obtained. In doing this, it is assumed that the $\alpha$ particles interact…

Nuclear Theory · Physics 2024-08-06 S. A. Rakityansky