Exploring the unknown Lambda-neutron interaction

Journal Article · 25 February 2020 · SciPost Physics Proceedings

DOI: https://doi.org/10.21468/SciPostPhysProc.3.025 · OSTI ID:1601517

Gibson, Benjamin ^[1]; Afnan, Iraj. R. ^[2]

---

1. American Physical Society
2. Flinders University

No published \Lambda $\Lambda$ n scattering data exist. A relativistic heavy-ion experiment has suggested that a \Lambda $\Lambda$ nn bound state was seen. However, several theoretical analyses have cast serious doubt on the bound-state assertion. Nevertheless, there could exist a three-body \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 rank-one, 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 rank-one 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 sub-threshold 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.

• Sponsoring Organization: USDOE
• Grant/Contract Number: AC52-06NA25396
• OSTI ID: 1601517
• Journal Information: SciPost Physics Proceedings, Journal Name: SciPost Physics Proceedings Journal Issue: 3; ISSN 2666-4003
• Publisher: Stichting SciPostCopyright Statement
• Country of Publication: Netherlands
• Language: English