Phenomenological Λ-nuclear interactions

Abstract

[ABSTRACT]Variational Monte Carlo calculations for We use the Argonne υ 18 two-body NN along with the Urbana IX three-body NNN interactions.The study demonstrates that a large part of the splitting energy in The study of the response of a many-body system to a hyperon gives insight into the structure of baryon-baryon interactions. The binding energy data of light s-shell hypernuclei provide a unique opportunity to know more about the Λ-nuclear interactions, particularly on their spindependence. In the past, basically two approaches have been followed. The first one involves Brueckner-Hartree calculations using Nijmegen YN potential with and without higher order correction to single-particle energies [1,2]. This method uses the large ΛN →ΣN coupling which gives considerably lower binding energy for 5 Λ He. Any attempt to correct this leads to poor agreement with the scattering data. The second method is primarily based on reliable variational techniques, mostly using simplified NN interactions [3,4]. We follow this approach but use realistic Argonne υ 18 NN interaction[5] along with Urbana IX three-body NNN interaction [6,7]. The phenomenolog-

From hypernuclei to the Inner Core of Neutron Stars: A Quantum Monte Carlo Study

“…This might also reconcile the observed shrinkage effect of the core nucleus [13,29], as obtained for example in Ref. [30].…”

Variational Monte Carlo Study of ΛΛ 4 H

“…where P x is the Majorana space-exchange operator and ǫ is the exchange parameter which we take as 0.2 [9]. This is consistent slightly on the low side with the forward to backward ratio of the low energy Λp scattering data [10].…”

“…where 𝑃 𝑥 is the Majorana space-exchange operator and 𝜖 is the exchange parameter we take as 0.2. [9] This is consistent slightly on the low side with the forward-to-backward ratio of the low energy Λ𝑝 scattering data. [10] 𝑉 𝑐 (𝑟), V and 𝑉 𝜎 are the Wood-Saxon core, spin-average and spin-dependent strengths, respectively, and 𝑇 2 𝜋 (𝑟) is the one-pion tensor shape factor.…”

“…All the energy values are in MeV and the distances are in fm. [18,19] and energy value for 3 H to be -8.32(01) [9]. It is seen from the figure that corresponding to the experimental values of energy for 4 Λ H and 4 Λ H * ,-10.36(04) and -9.32(06) respectively (calculated by taking experimental B Λ and B * Λ values 2.04(04) and 1.00(06)) [18,19], 4 ΛΛ H, is unbound.…”

Accurate determination of the interaction betweenΛhyperons and nucleons from auxiliary field diffusion Monte Carlo calculations

“…To describe the interaction between the Λ particle and the nucleons, we adopt a class of Argonne-like interactions that have been developed starting from the 1980's by Bodmer, Usmani, and Carlson on the grounds of Quantum Monte Carlo methods and have been mostly used in Variational Monte Carlo calculations [28][29][30][31][32][33][34][35][36][37][38][39][40][41]. The interaction is written in coordinate space and it includes two-and three-body hyperon-nucleon components with a hard-core repulsion between baryons and a charge symmetry breaking term.…”