The Killingbeck potential model is used to study the influence of the external magnetic and AharanovBohm (AB) flux fields on the splitting of the Dirac energy levels in a 2+1 dimensions. The ground state energy eigenvalue and its corresponding two spinor components wave functions are investigated in the presence of the spin and pseudo-spin symmetric limit as well as external fields using the wave function ansatz method.

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The tidal deformability of binary neutron stars (BNSs) and their structural properties are calculated applying different equations of state (EOSs), obtained from the lowest order constrained variational many-body theory. Therefore, potentials such as AV8′, AV6′ with and without three-nucleon interaction (TNI), AV18+TNI, and UV14+TNI are employed in order to investigate the properties of neutron stars (NSs) in coalescing binary systems. The same EOS is considered for the individual component of the merger in addition to the low spin prior case. We determine the value of dimensionless tidal deformability Λ in the range of 216 < Λ < 314 regarding 1.4 M⊙ configuration of NS with the EOSs of Argonne family potentials and UV14 accompanied by TNI. Our obtained results are in good consistency with the very recent observation of the BNS merger GW170817. It is figured out that most of the applied EOSs are in the vicinity of the 50% credible region of the PhenomPNRT and TaylorF2 waveform models. Moreover, the effect of the outer and inner crust on the EOS is studied so that we find out that the tidal Love number has the largest value without the contribution of the outer crust considering the particular example of 1.4 M⊙ configuration of NSs.

The D-dimensional Klein-Gordon (KG) wave equation with unequal scalar and time-like vector Cornell interactions is solved by the Laplace transform method. In fact, we obtained the bound state energy eigenvalues of the spinless relativistic heavy quarkonium systems under such potentials. Further, the stationary states are calculated due to the good behavior of wave functions at the origin and at infinity. The statistical properties of this model are also investigated. Our results are found to be of great importance in particle physics.

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The equation of state (EoS) of neutron star (NS) matter is investigated considering kaon condensation. Moreover, the tidal parameters related to the components of binary neutron star mergers are determined and compared to the constraints of GW170817 imposed on these quantities. In this study, we employ the lowest-order constrained variational (LOCV) approach and utilize AV6', AV8', and AV18 potentials accompanied by the three nucleon interaction (TNI) in order to consider the nucleon-nucleon interaction. It is known that the existence of kaons in the core of NSs softens the EoS and thus lowers the value of maximum mass which is expected to be greater than 2 M e . Our results demonstrate that considering kaon condensation with a strangeness value, a 3 m s = −134 MeV satisfies the maximum mass constraint except for AV8'+TNI potential. However, the calculation of dimensionless tidal deformability shows that with the decrease of strangeness value, the neutron star gets less deformed.

This paper presents an innovative and efficient method for solving the fractional-order Van der Pol impulsive system. In particular, the proposed scheme utilizes finite difference techniques for approximating fractional integrals, and its efficacy is compared to existing integration methods presented in the literature. Moreover, the proposed approach is applied to fractional impulsive systems, specifically the Fractional Van der Pol system with impulse behavior. The results demonstrate the effectiveness of the impulsive treatment effects for the system under consideration. In general, this study offers an insightful contribution to the field of fractional calculus, while providing a practical and efficient solution for solving impulsive systems.