Repulsive Bose-Einstein condensate, where the short-range interaction is included up to the third order by the interaction radius, demonstrates existence of a bright soliton in a narrow interval of parameters. This soliton is studied here for the boson-fermion mixture, where spin-1/2 fermions are consider in the regime of full spin polarization. Influence of fermions via the boson-fermion interaction is considered up to the third order by the interaction radius. Fermions themselves are considered by hydrodynamic model including the pressure evolution equation. Interaction between fermions is considered. The first order by the interaction radius gives zero contribution in the Euler equation and the pressure evolution equation, but the third order by the interaction radius provides nonzero contributions in both equations. Repulsive (attractive) boson-fermion interaction leads to the bright (dark) fermionic soliton.

中文翻译：

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在压力演化的影响下，排斥性玻色-爱因斯坦凝聚和极化超冷费米子混合物中的玻色亮孤子

斥力玻色-爱因斯坦凝聚，其中短程相互作用被包括到相互作用半径的三阶，表明在一个狭窄的参数区间中存在明亮的孤子。此处针对玻色子-费米子混合物研究了该孤子，其中在完全自旋极化状态下考虑了自旋 1/2 费米子。费米子通过玻色子-费米子相互作用的影响被认为是相互作用半径的三阶。费米子本身由包括压力演化方程的流体动力学模型考虑。考虑了费米子之间的相互作用。相互作用半径的一阶在欧拉方程和压力演化方程中给出零贡献，但相互作用半径的三阶在两个方程中都提供非零贡献。