Exploring the unknown Lambdaneutron interaction
Abstract
No published \Lambda $\Lambda $ n scattering data exist. A relativistic heavyion experiment has suggested that a \Lambda $\Lambda $ nn bound state was seen. However, several theoretical analyses have cast serious doubt on the boundstate assertion. Nevertheless, there could exist a threebody \Lambda $\Lambda $ nn resonance. Such a resonance could be used to constrain the \Lambda $\Lambda $ n interaction. We discuss \Lambda $\Lambda $ nn calculations using nn and \Lambda $\Lambda $ n pairwise interactions of rankone, separable form that fit effective range parameters of the nn system and those hypothesized for the as yet unobserved \Lambda $\Lambda $ n system based upon four different \Lambda $\Lambda $ N potentials. The use of rankone separable potentials allows one to analytically continue the \Lambda $\Lambda $ nn Faddeev equations onto the second complex energy plane in search of resonance poles, by examining the eigenvalue spectrum of the kernel of the Faddeev equations. Although each of the potential models predicts a \Lambda $\Lambda $ nn subthreshold resonance pole, scaling of the \Lambda $\Lambda $ n interaction by as little as \sim $\sim $ 5% does produce a physical resonance. This suggests that one may use photo(electro)production of the \Lambda $\Lambda $ nn system from tritium as a tool to examine the strength of the \Lambda $\Lambda $ n interaction.
 Authors:

 American Physical Society
 Flinders University
 Publication Date:
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1601517
 Grant/Contract Number:
 AC5206NA25396
 Resource Type:
 Published Article
 Journal Name:
 SciPost Physics Proceedings
 Additional Journal Information:
 Journal Name: SciPost Physics Proceedings Journal Issue: 3; Journal ID: ISSN 26664003
 Publisher:
 Stichting SciPost
 Country of Publication:
 Country unknown/Code not available
 Language:
 English
Citation Formats
Gibson, Benjamin, and Afnan, Iraj. R. Exploring the unknown Lambdaneutron interaction. Country unknown/Code not available: N. p., 2020.
Web. doi:10.21468/SciPostPhysProc.3.025.
Gibson, Benjamin, & Afnan, Iraj. R. Exploring the unknown Lambdaneutron interaction. Country unknown/Code not available. https://doi.org/10.21468/SciPostPhysProc.3.025
Gibson, Benjamin, and Afnan, Iraj. R. Tue .
"Exploring the unknown Lambdaneutron interaction". Country unknown/Code not available. https://doi.org/10.21468/SciPostPhysProc.3.025.
@article{osti_1601517,
title = {Exploring the unknown Lambdaneutron interaction},
author = {Gibson, Benjamin and Afnan, Iraj. R.},
abstractNote = {No published \Lambda Λ n scattering data exist. A relativistic heavyion experiment has suggested that a \Lambda Λ nn bound state was seen. However, several theoretical analyses have cast serious doubt on the boundstate assertion. Nevertheless, there could exist a threebody \Lambda Λ nn resonance. Such a resonance could be used to constrain the \Lambda Λ n interaction. We discuss \Lambda Λ nn calculations using nn and \Lambda Λ n pairwise interactions of rankone, separable form that fit effective range parameters of the nn system and those hypothesized for the as yet unobserved \Lambda Λ n system based upon four different \Lambda Λ N potentials. The use of rankone separable potentials allows one to analytically continue the \Lambda Λ nn Faddeev equations onto the second complex energy plane in search of resonance poles, by examining the eigenvalue spectrum of the kernel of the Faddeev equations. Although each of the potential models predicts a \Lambda Λ nn subthreshold resonance pole, scaling of the \Lambda Λ n interaction by as little as \sim ∼ 5% does produce a physical resonance. This suggests that one may use photo(electro)production of the \Lambda Λ nn system from tritium as a tool to examine the strength of the \Lambda Λ n interaction.},
doi = {10.21468/SciPostPhysProc.3.025},
journal = {SciPost Physics Proceedings},
number = 3,
volume = ,
place = {Country unknown/Code not available},
year = {2020},
month = {2}
}
https://doi.org/10.21468/SciPostPhysProc.3.025
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