Light $\Xi$ hypernuclei

TL;DR

This paper investigates the possibility of a light $ ext{Xi} NN$ hypernucleus with specific quantum numbers, suggesting it could be stable and detectable if bound, based on theoretical calculations and existing interaction models.

Contribution

It presents a theoretical analysis and Faddeev calculations indicating the potential existence and stability of a specific light $ ext{Xi} NN$ hypernucleus, considering various interaction models.

Findings

Potential stability of the $ ext{Xi} NN$ hypernucleus with $(I)J^P=(3/2)1/2^+$

Decoupling from the $N ext{Lambda} ext{Lambda}$ system implies possible stability

Electromagnetic interactions could enhance binding, making experimental detection worthwhile.

Abstract

Arguments in favor of a light $\Xi NN$ hypernucleus with $(I)J^P=(3/2)1/2^+$ are presented, within the uncertainties of our knowledge of the baryon-baryon strangeness $-2$ interactions. If bound, this $\Xi NN$ state, being decoupled from the lowest $N\Lambda\Lambda$ system, would be stable. It will also benefit from additional binding due to the electromagnetic interaction what makes it worthwhile to look for. We show how the equivalent state with $J=3/2$ could never be bound in spite of the attractive interaction of the two-body subsystems. We illustrate our discussion with a full-fledged Faddeev calculation of the $\Xi NN$ system using simple potentials that mimic more elaborate interactions. We also make contact with different recent phenomenological interactions from the literature, like the ESC08 Nijmegen potential or quark-model based potentials.