The ${}_{ΛΛ}^{\,\,\,\,4}n$ system

Abstract

Using local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifs of the $nn$ system and the latest updates of the $nΛ$ and $ΛΛ$ Nijmegen ESC08c potentials we study the possible existence of a ${}_{ΛΛ}^{\,\,\,\,4}n$ bound state. Our results indicate that the ${}_{ΛΛ}^{\,\,\,\,4}n$ is unbound, being just above threshold. We discuss the role played by the $^1S_0$ $nn$ repulsive term of the Yukawa-type Malfliet-Tjon interaction.

13 pages, 4 figures. To be published in Chinese Physics C