发表机构
Independent Researcher, Saint-Petersburg, Russia
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文对可压缩液滴模型进行解析优化，求解四阶方程以识别无解参数范围，发现曲率项显著改变气泡相的重子密度范围，使其从基态中不利，并提供了可移植的解析扩展方法。
AI 中文摘要
在可压缩液滴模型（CLDM）中，曲率能项已在文献中的许多工作中被包含，其对核子面食相存在的影响也已被广泛研究。然而，包含的解析部分通常在写出关于原子核优化尺寸的四阶代数方程后便停止。本文对CLDM方程解的解析部分提出了一种优化。解析求解四阶代数方程被证明有助于直接识别CLDM无实根解的被拒绝参数范围。使用从手征有效场论导出的特定核力，我研究了核曲率对基态的影响。令人惊讶的是，包含曲率项导致气泡相存在的重子密度范围发生显著修改，使气泡相从基态中不利。这表明CLDM在包含曲率项时获得的核尺寸预测与使用$w_\mathrm{s}=2w_{\mathrm{C+L}}$近似获得的预测之间存在强烈差异。曲率能在CLDM中的重要性与其定性改变基态的能力相关。本文提出了CLDM解的解析扩展，该扩展未来可随时与任何其他核模型一起使用，以优化核曲率能的包含，且不限于单一核模型。
英文摘要
In the compressible liquid drop model (CLDM), the curvature energy term has been included in many works in the literature, and its effects on the presence of pasta phases have also been extensively investigated. However, the analytical part of the inclusion used to cease once a 4-order algebraic equation for the optimized size of the nucleus was written. In this paper, an optimization is suggested to the analytical part of the solution of the CLDM equations. Solving analytically the 4-order algebraic equation proves to be helpful for a straightforward identification of the denied parameter ranges in which the CLDM has no real-root solutions. Using a particular nuclear force derived from the chiral effective field theory, I investigate effects on the ground state of the nucleus curvature. Surprisingly, the inclusion has lead to a significant modification of the range of baryon density in which the bubble phases are found, disfavoring the bubble phases from the ground state. This shows a strong difference between the predictions of the CLDM with the nucleus size obtained when including the curvature term and that obtained from the $w_\mathrm{s} = 2w_{\mathrm{C+L}}$ approximation. The importance of the curvature energy in the CLDM is linked with its ability to change qualitatively the ground state. This paper presents an analytical extension to the CLDM solution, which is ready to be used with any other nuclear model in the future, in order to optimize the inclusion of the nuclear curvature energy, and is not limited to one nuclear model.
Comments21 pages, 10 figures
