HypernucleusOΛ16and accurate hyperon-nucleonG-matrix interactions

Abstract

We have performed accurate G-matrix calculations for the hypernucleus A 6 0 using the one-and twoboson-exchange Julich hyperon-nucleon potentials. A finite-nuclei Pauli operator defined in terms of oscillator wave functions is employed, and treated essentially exactly in solving the coupled A7V and XA (/-matrix equation. Numerical stability concerning the choice of the fc-space mesh points for discretization and the accuracy of a finite-boundary approximation are examined. Our calculated spectrum for A 6 0 is in good agreement with experiments.

Quadrupole deformation(β,γ)of lightΛhypernuclei in a constrained relativistic mean field model: Shape evolution and shape polarization effect of theLü1, Zhao2, Zhou3 2011Phys. Rev. C

“…Thus it can move deep inside the nuclei and may serve as an impurity for probing many nuclear properties that are not accessible by normal methods. The study of hypernuclei can also provide detailed and accurate information about the hyperon-hyperon (YY) and hyperon-nucleon (YN) interactions [5][6][7][8] which are important not only for the understanding of hyper nuclear structure but also for the study of hyper matter and neutron stars [9].…”

Three-Body Cluster Effects on Single-Particle Energies in 17O and 41Ca

“…9) are also cancelled by the bubble-diagram contributions of the first and third terms, respectively. Therefore, the cluster termsH (1) ,H (2) andH (3) include only the one-, two-and three-body operators, respectively, if we write them in the normal-product form with respect to particles and holes, as discussed in Ref. 12).…”

“…9). The TBC termH (3) contains the transformed three-body NNN and YNN interactions. These interactions include the bare two-body NN and YN interactions, which have strongly repulsive cores.…”

Unitary-model-operator approach to Λ hypernuclei

“…It seems to us that the YNG interaction has made an important contribution to the considerable progress in overall description of hypernuclei. The other approach, in the framework of the G-matrix theory, is to calculate the G-matrix in finite hypernuclei by treating rigorously the Pauli exclusion operator and making a self-consistent calculation of single-particle potential of hyperons [15][16][17][18][19]. In contrast to studies of using the YNG interaction this approach possibly gives a better description of the state dependence of the effective YN interaction.…”

“…A unified study of hypernuclei and ordinary nuclei would be helpful in understanding many-body systems of baryons in a microscopic way. Therefore, we extended the formulation of the UMOA, in the previous work [24], to the description of hypernuclei and made a calculation of the properties in 17 Λ O with a realistic YN interaction. The purposes of this work are to present a general formulation of the extended UMOA and apply it to 17 Λ O by employing some realistic YN interactions.…”