The ${}_{\Lambda \Lambda }^{4}n$ 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 $n\Lambda$ and $\Lambda \Lambda$ Nijmegen ESC08c potentials we study the possible existence of a ${}_{\Lambda \Lambda }^{4}n$ bound state. Our results indicate that the ${}_{\Lambda \Lambda }^{4}n$ is unbound, being just above threshold. We discuss the role played by the ${}^1{S}_0$ $nn$ repulsive term of the Yukawa-type Malfliet-Tjon interaction.

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

References in corpus (14)

• Observation of Lambda H-4 hyperhydrogen by decay-pion spectroscopy in electron scattering
• Strangeness S=-2 baryon-baryon interaction at next-to-leading order in chiral effective field theory
• Are there compact heavy four-quark bound states?
• Three-body structure of the $nn\Lambda$ system with $\Lambda N-\Sigma N$ coupling
• Is there a bound Lambda-n-n ?
• $\Lambda NN$ and $\Sigma NN$ systems at threshold
• Can realistic nuclear interactions tolerate a resonant tetraneutron ?
• Nonexistence of a $\Lambda nn$ bound state
• $\Lambda NN$ and $\Sigma NN$ systems at threshold: II. The effect of D waves
• The lightest neutral hypernuclei with strangeness -1 and -2
• Investigation of the $nn\Lambda$ bound state in pionless effective theory
• Search for doubly-heavy dibaryons in a quark model
• Extended-soft-core Baryon-Baryon ESC08 model III. S=-2 Hyperon-hyperon/nucleon Interaction
• Light $\Xi$ hypernuclei

Cited by in corpus (4)

• The onset of $\Lambda \Lambda$ hypernuclear binding
• A closer look at the Yukawa's interaction from a symmetry group perspective
• ${\Xi }^{-}t$ quasibound state instead of $\Lambda \Lambda nn$ bound state
• Neutral baryonic systems with strangeness