Study of Λp and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"> <mml:mrow> <mml:mover accent="true"> <mml:mstyle mathvariant="normal"> <mml:mi>Λ</mml:mi> </mml:mstyle> <mml:mo>¯</mml:mo> </mml:mover> <mml:mi>p</mml:mi> </mm

Motivated by recent BESIII measurements of the Λ p → Λ p and Λ ¯ p → Λ ¯ p scatterings, we investigate these reactions within the framework of the quasipotential Bethe-Salpeter equation using an effective Lagrangian approach. The interaction potentials are constructed via a one-boson-exchange model incorporating pseudoscalar, scalar, and vector meson exchanges, along with coupled-channel effects from the Σ N and Σ ¯ N channels. For the Λ p → Λ p scattering, the total cross sections from threshold up to s = 2.5 GeV are well reproduced. A mild enhancement near the Σ N threshold is attributed to coupled-channel dynamics. We also calculated the differential cross sections at s = 2.24 GeV , which exhibit only a weak angular dependence, in good agreement with the experimental observations. Partial-wave analysis indicates that the 1 + partial wave dominates over the entire energy range, while the 0 + wave plays a significant role near threshold. For the Λ ¯ p → Λ ¯ p scattering, calculated total and differential cross sections show good agreement with the BESIII data. The 1 − partial wave is found to dominate in most of the energy region. Notably, the calculated differential cross sections exhibit a strong forward peaking behavior, consistent with experimental findings and understood as resulting from constructive interference among various partial waves. This forward-peaked angular distribution persists across a range of energies, highlighting the distinct dynamics of the Λ ¯ p interaction.