The dynamics of electrostatic ion acoustic solitons collision in relativistic magnetized spin-polarized plasma is studied using a Magnetized Relativistic Quantum Hydrodynamics model. The plasmas components are relativistic degenerate electron with spin-up ne"and spin-down ne# concentrations, and relativistic inertial classical ions. In two-dimensional plasma geometry, a homogeneous external magnetic field is provided along the z-direction, i.e. B = B0zˆ. The extended Poincare Lighthill Kuo (PLK) approach is used to calculate the Kortewegde Vries equations for the left and right moving ion-acoustic solitons. Before and after collision, their trajectories and associated phase shifts are computed. Only negative polarity pulses of ion acoustic solitons are observed in our stated relativistic magnetized plasma. The effect of the spin density polarization ratio κ on collision properties on the structure of solitons is being studied. The phase shifts of colliding solitons are shown to be considerably affected by the spin density polarization ratio κ, obliqueness, and relativistic effects, are also analyzed and given numerically. Our research is noteworthy in that it focuses on, the astrophysical systems such as white dwarf, neutron star and pulsar.
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