Integral equations and binding energies for Λ − NN and Λ − NNN systems

Egorov, M. V.; Postnikov, V.I.

doi:10.1016/j.nuclphysa.2021.122172

Cited by 7 publications

(15 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The potential between N and Λ used in 3 Λ H binding energy calculation is YNG-ND interactions [56,57] with k F = 0.84f m −1 [58]. It can be seen that this calculation of Ωpn is consistent with the results from Garcilazo and Valcarce's results [24], and the results of 3 H and 3 Λ H are close to experimental results [59,60] and theoretical calculations as well [61].…”

Section: B Solving Three-body Bound Statesupporting

confidence: 85%

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

Zhang,

2021

Preprint

View full text Add to dashboard Cite

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

Section: B Solving Three-body Bound Statesupporting

confidence: 85%

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

Zhang,

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Taking into account integration with respect to the relative angle y p f pi between the vectors ⃗ p f and ⃗ p i and bearing in mind equation ( 23), it can be assumed x pi = 1 without losing in generality in (26).…”

Section: Two-body Ingredientsmentioning

confidence: 99%

“…These coordinate potentials were used in formula (30) to calculate the partial components V J L f Li (p f , p i ) which were further used to search for the t-matrix. The appendix includes the comparison between the calculations of total YN scattering cross section obtained through microscopic [47] and phenomenological [26] models with few experimental data.…”

Section: Two-body Ingredientsmentioning

confidence: 99%

“…Upper pannel shows calculations of the eigenfunctions of the NNN system using spline interpolation and the Noyes-Kowalski procedure (right), and exact calculations using the formula (31) (left). Two-body interactions: NN [49], YN [26], KN [51], KΛ [52].…”

Section: Additional Benchmark Testsmentioning

confidence: 99%

“…Three-body Faddeev approach [39] is used without angular-momentum decomposition in phase space as a reference theory. This approach proved to be efficient in the previous search for the binding energies of the KNN [7] and YNN [26] systems. Unlike insufficiently accurate variation calculations [23] involving predefined multidimensional set of basis functions, the Faddeev approach has a single constituent involving the two-body t-matrices whose behavior is usually well known on the mass-shell.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Kaon-hyperon-nuclear systems in the Faddeev approach

Egorov

2022

Preprint

View full text Add to dashboard Cite

The work addresses the development of the procedure to search for binding energies of three-body nuclei and exotic meson-nucleus systems based on the solution of homogeneous Faddeev integral equations without angular-momentum decomposition. The single components of such approach involves the two-body t-matrices which were searched for using coupled Lippmann-Schwinger equations and the Noyes-Kowalski subtractive procedure generalized for the case of angular-depending two-body potentials. Direct calculations of three-body binding energies have allowed establishing the correlation between the exact technique of finding the t-matrices and the approximated one using separable NN potentials as an example. Validation calculations of the binding energies of 3H, 3He nuclei have been performed with charge-dependent separable Bonn, Paris, and local ESC potentials which agree with the known experimental values at the accuracy of 10 to 180 keV. Realistic microscopic NN, YN, ꝀN, and KY interactions were used to study almost all possible bound states which can occur in ꝀNN, YNN and ꝀYN systems. Present calculations also confirm the existence of bound states of previously known K-pp, Λnp systems. The described method made it possible to accurately calculate the binding energies of K--p-Λ, K--n-Λ, K--d-Λ, K--3 He-Λ, K--4 He-Λ systems. The wave functions of the NNN, ꝀNN, ΛNN, and Λ K-p systems are also obtained and briefly analyzed.

show abstract