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We study the star matter properties for Hybrid equation of state (EoS) by varying the bag constant. We use the effective field theory motivated relativistic mean field model (E-RMF) for hadron phase with recently reported FSUGarnet, G3 and IOPB-I parameter sets. The results of NL3 and NL3[Formula: see text] sets are also shown for comparison. The simple MIT bag model is applied for the quark phase to construct the hybrid EoS. The hybrid neutron star mass and radius are calculated by varying with [Formula: see text] to constrain the [Formula: see text] values. It is found that [Formula: see text]–160[Formula: see text]MeV is suitable for explaining the quark matter in neutron stars.

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A variational Monte Carlo study of 4 H (0 + ) and 4 H * (1 + ) hypernuclear states using a realistic Hamiltonian and a fully correlated wavefunction including N space-exchange correlation (SEC) is presented. For the strange sector of the Hamiltonian, phenomenological charge symmetric N and NN potentials are used along with Argonne NN(AV18) and Urbana NNN(UIX) potentials for the non-strange sector. Complete energy breakdown, -separation energy, polarization of the nuclear core, nucleon radii ( r 2 p 1/2 and r 2 n 1/2 ) and nucleon and density profiles are calculated for the 4 H hypernuclear state. The 0 + -1 + energy splitting and complete energy breakdown for 1 + excited state is also calculated. For the exact assessment of charge symmetry breaking energy, Coulomb energies for the rearranged distributions of protons in 4 He hypernucleus are calculated. Results for all these physical observables both with and without SEC in the wavefunction are essential to extract SEC effects. Best set of variational parameters of optimized wavefunctions, both with and without SEC, are found. Dependence of results on various sets of N potential strengths is investigated. This leads to some interesting results. Nucleons are pushed towards periphery as well as towards centre by the hyperon which stays in the interior region most of the time. SEC effects are found to be significant. Nuclear core is found to be compact having more polarization energy with SEC in the wavefunction.