Solution of Faddeev integral equations in configuration space using the hyperspherical harmonics expansion method

Kovalchuk, V. I.

doi:10.1142/s0218301314500694

Cited by 2 publications

(4 citation statements)

References 34 publications

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“…There are many methods to solve this kind of threebody equations, such as the Faddeev equation [25,44,45] and the variation method. One kind of the variation methods is mainly based on the hyperspherical-harmonics (HH) method [46][47][48][49], in which the coordinates are transformed into center-of-mass frame by using the Jacobi transform,…”

Section: Solving Three-body Bound Statementioning

confidence: 99%

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Production of $$\Omega NN$$ and $$\Omega \Omega N$$ in ultra-relativistic heavy-ion collisions

Zhang

2022

Eur. Phys. J. C

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

show abstract

Section: Solving Three-body Bound Statementioning

confidence: 99%

“…where K = 2k + l 1 + l 2 is the total hyperangular momentum number, q is a nonnegative integer, l i and m i is the orbital angular momentum number of r i direction, κ represents the L-spin-isospin state defined as κ = {J J z (L(l 1 l 2 )S a (s i s jk ))T T z (t i t jk )}, N kl 1 l 2 is a normalization factor [45],…”

Section: Solving Three-body Bound Statementioning

confidence: 99%

Production of $$\Omega NN$$ and $$\Omega \Omega N$$ in ultra-relativistic heavy-ion collisions

Zhang

2022

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…There are many methods to solve this kind of threebody equations, such as the Faddeev equation [25,44,45] and the variation method. One kind of the variation methods is mainly based on the hypersphericalharmonics (HH) method [46][47][48][49], in which the coordinates are transformed into center-of-mass frame by using the Jacobi transform,…”

Section: B Solving Three-body Bound Statementioning

confidence: 99%

“…where K = 2k + l 1 + l 2 is the total hyperangular momentum number, q is a nonnegative integer, l i and m i is the orbital angular momentum number of r i direction, κ represents the L-spin-isospin state defined as κ = {JJ z (L(l 1 l 2 )S a (s i s jk ))T T z (t i t jk )}, N kl1l2 is a nor-malization factor [45],…”

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.

show abstract

Solution of Faddeev integral equations in configuration space using the hyperspherical harmonics expansion method

Cited by 2 publications

References 34 publications

Production of $$\Omega NN$$ and $$\Omega \Omega N$$ in ultra-relativistic heavy-ion collisions

Production of $$\Omega NN$$ and $$\Omega \Omega N$$ in ultra-relativistic heavy-ion collisions

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

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