Structure of single Λ-hypernuclei with Gogny-type Λ-nucleon forcesHYBRID

Hypernuclei are bound systems made of neutrons, protons and one or more hyperons (baryons with strangeness content). Their investigation gives us an opportunity to study the baryon-baryon interactions from an enlarged perspective. One of the goals of hypernuclear physics is precisely to relate hypernuclear observables with the underlying bare hyperon-nucleon and hyperon-hyperon interactions. In this work, we have studied the structure of single Λ hypernuclei using a self consistent mean field method called Hartree-Fock-Bogoliubov (HFB). Finite range Gogny type interactions were used in nucleon-nucleon (N − N) and hyperon-nucleon (Y − N) channels. We have incorporated a Gogny type hyperon-nucleon interaction into an existing mean field code HFBaxial which is already capable of using the Gogny force for nucleons. The unknown Λ −N Gogny parameters were obtained using the fitting protocol “Simulated Annealing method” (SAM) and the observable chosen for the fitting is the experimental 1s-shell Λ binding energy in various Λ hypernuclei. Using the best obtained Λ − N parameter sets, we have performed binding energy calculations of the other 1l (1p,1d,1f and 1g) Λ states in various hypernuclei. The predicted values were found to be in good agreement with the experimental data. In addition, we also calculate the root-mean-square radii of the ground state Λ orbital as well as global properties of hypernuclei.

[1] C.V. Nithish Kumar, L. M. Robledo and I. Vidaña, arxiv [2312.09648]