Abstract
The in-medium properties of hyperons and antihyperons are studied with the Non-Linear Derivative (NLD) model and focus is made on the momentum dependence of strangeness optical potentials. The NLD model is based on the Relativistic Mean Field (RMF) approximation to Relativistic Hadrodynamics (RHD) approach of nuclear systems, but it incorporates an explicit momentum dependence of mean-fields. The extension of the NLD model to the baryon and antibaryon octet is based on SU(6) and G-parity arguments. It is demonstrated that with a proper choice of momentum cut-offs, the Λ and Σ optical potentials are consistent with recent studies of the chiral effective field theory(χ -EFT) and optical potentials are consistent with Lattice-QCD calculations, over a wide momentum region. We also present NLD predictions for the in-medium momentum dependence of ∧¯, ∑¯ and Ξ¯ hyperons. This work is important for future experimental studies, like CBM, PANDA at FAIR and is relevant to nuclear astrophysics as well.
Highlights
In an attempt to explain both astrophysical observations (2M Neutron Stars, that seems to exclude soft hadronic Equation of State (EoS) at high baryon densities) and results from Heavy-Ion Collisions with a proper nuclear matter model, an inclusion of hyperons degrees of freedom is performed in the Non-Linear Derivative (NLD) model
The NLD model is based on a basic Relativistic Mean Field (RMF) Lagrangian formulation, but it incorporates higher order derivatives in the nucleonnucleon (NN) interaction Lagrangians
Given that the NN interaction is fairly well known in contrast to the hyperon-nucleon (YN) interaction, in order to approach YN interaction, we take the tested for nucleons NLD model and extend it to the strangeness degrees of freedom, in the spirit of SU(6) and G-parity arguments
Summary
In an attempt to explain both astrophysical observations (2M Neutron Stars, that seems to exclude soft hadronic Equation of State (EoS) at high baryon densities) and results from Heavy-Ion Collisions (they lead to a softening of the high-density EoS) with a proper nuclear matter model, an inclusion of hyperons degrees of freedom is performed in the NLD model. The NLD Lagrangian is based on the conventional RHD and for the baryon octet it reads as The NLD interaction Lagrangians contain the conventional and simple combinations between the bilinear baryon-and linear meson-fields, they are extended by the inclusion of non-linear derivative operators →−D, ←D− for each baryon species
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