$Ω$-deuteron Interaction in Folding Model

Etminan, Faisal; Firoozabadi, Mohammad Mehdi

doi:10.48550/arxiv.1908.11484

Cited by 4 publications

(6 citation statements)

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“…There is another method for few-body system interaction by which the system is not deeply bound, called as the folding model [62,63]. The folding model assumes that nucleus is bound as a molecular state like dibaryonbaryon state.…”

Section: B Solving Three-body Bound Statementioning

confidence: 99%

Production of $ΩNN$ and $ΩΩN$ in ultra-relativistic heavy ion collisions

Zhang,

2021

Preprint

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Even though lots of Λ-hypernuclei have been found and measured, multi-strangeness hypernuclei consisting of Ω are not yet discovered. The studies of multi-strangeness hypernuclei help us further understand the interaction between hyperons and nucleons. Recently the ΩN and ΩΩ interactions as well as binding energies were calculated by the HAL-QCD's lattice Quantum Chromo-Dynamics (LQCD) simulations and production rates of Ω-dibaryon in Au + Au collisions at RHIC and Pb + Pb collisions at LHC energies were estimated by a coalescence model. This work discusses the production of more exotic triple-baryons including Ω, namely ΩN N and ΩΩN as well as their decay channels. A variational method is used in calculations of bound states and binding energy of ΩN N and ΩΩN with the potentials from the HAL-QCD's results. The productions of ΩN N and ΩΩN are predicted by using a blast-wave model plus coalescence model in ultra-relativistic heavy ion collisions at √ sNN = 200 GeV and 2.76 TeV. Furthermore, plots for baryon number dependent yields of different baryons (N and Ω), their dibaryons and hypernuclei are made and the production rate of a more exotic tetra-baryon (ΩΩN N ) is extrapolated.

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Section: B Solving Three-body Bound Statementioning

confidence: 99%

Production of $ΩNN$ and $ΩΩN$ in ultra-relativistic heavy ion collisions

Zhang,

2021

Preprint

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“…In addition to the femtoscopic studies of hadron-hadron (hh) interactions, the hadron-deuteron (hd) correlation functions can increase our knowledge and understanding about the hadronic many-body system. Correspondingly because of this several exploratory theoretical research of the hd correlation functions are done like pd and hd 10 , K − d 10 , Λd 11 (Actually, the Λd correlation function is on agenda 12 ), Ξd 13 , and very recently production of ΩNN and ΩΩNin ultra-relativistic heavy ion collisions is discussed in 14 also Ωd interaction in a simple folding model studied in 15 . Therefore, precise calculation and derivation of more properties of Ωd bound state system are necessary.…”

Section: Introductionmentioning

confidence: 99%

Studying Omega-nucleon-nucleon three-body states by realistic nucleon-nucleon and first principles Lattice QCD Omega-nucleon potentials in the cluster model

Etminan

Sanchuli

2022

Preprint

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The Faddeev equations in coordinate space are solved to study the Omega-nucleon-nucleon and Omega-Omega-nucleon three-body systems using the latest Omega-nucleon and Omega-Omega interactions developed by the HAL QCD Collaboration (Omega is a decouplet baryon consists three strange quark). We calculate the binding energy of the Omega-nucleon-nucleon system by examining three nucleon-nucleon (NN) potentials, i.e., modern realistic AV18 potential, Yukawa-type Malfliet-Tjon (MT) interaction, and Gogny-Pires-Tourreil (GPT) soft and local potential. We take into account the contribution of the Coulomb potential. Our numerical calculations for Omega-deuteron in maximum spin 5/2+ leads to ground state binding energy of 20.953, 19.368, and 20.439 MeV and matter radius of 1.097, 1.373, and 1.309 fm using MT, GPT, and AV18 NN potentials, respectively. In the case of Omega-deuteron (0)5/2+ system, our numerical analysis shows that considering higher partial waves than s wave in NN interactions leads to an increase of about 0.2 MeV using GPT and about 0.1 MeV reduction with AV18 potentials. We study the convergence of three-body binding energies in a cluster model using the hyperspherical harmonics method and investigate the geometrical properties of Omega-deuteron (0)5/2+ ground states.

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“…As the next step in the femtoscopic studies of hh interactions, the hadron-deuteron (hd) correlation functions would be promising as discussed in Refs. [29,30]. The hd correlation function has several merits to study.…”

Section: Introductionmentioning

confidence: 99%

“…One of the important issues in the hd correlation function is the large size and the small binding energy of the deuteron. In the previous exploratory theoretical studies of the hd correlation functions, Λd [29] and Ω − d [30], the hd interaction is evaluated using the intrinsic deuteron wave function, but the deuteron is regarded as a point-like inert particle in calculating the correlation function: The source function of the deuteron as a point particle is assumed [29,30]. In addition, a folding potential is adopted and deuteron breakup effects are ignored in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Effect of deuteron breakup on the deuteron-$Ξ$ correlation function

Ogata,

Fukui,

Kamiya

et al. 2021

Preprint

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Background: The hadron-deuteron correlation function has attracted many interests as a potential method to access the three-hadron interactions. However, the weakly-bound nature of deuteron has not been considered in the preceding studies. Purpose: The breakup effect of deuteron on the deuteron-Ξ − (d-Ξ − ) correlation function C dΞ − is investigated. Methods: The d-Ξ − scattering is described by a nucleon-nucleon-Ξ three-body reaction model. The continuum-discretized coupled-channels method, which is a fully quantum-mechanical and non-perturbative reaction model, is adopted. Results: C dΞ − turns out to be sensitive to the strong interaction and enhanced by the deuteron breakup effect by 6-8 % for the d-Ξ − relative momentum below about 70 MeV/c. Low-lying neutron-neutron continuum states are responsible for this enhancement. Conclusions: Within the adopted model, the deuteron breakup effect on C dΞ − is found to be appreciable but not very significant. Except for the enhancement by several percent, studies on C dΞ − without the deuteron breakup effect can be justified.

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$Ω$-deuteron Interaction in Folding Model

Cited by 4 publications

References 0 publications

Production of $ΩNN$ and $ΩΩN$ in ultra-relativistic heavy ion collisions

Production of $ΩNN$ and $ΩΩN$ in ultra-relativistic heavy ion collisions

Studying Omega-nucleon-nucleon three-body states by realistic nucleon-nucleon and first principles Lattice QCD Omega-nucleon potentials in the cluster model

Effect of deuteron breakup on the deuteron-$Ξ$ correlation function

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