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arXiv 1202.5658nucl-thastro-ph.SRhep-phnucl-ex
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核对称能的Lorentz协变核子自能分解

Lorentz covariant nucleon self-energy decomposition of the nuclear symmetry energy

Bao-Jun Cai, Lie-Wen Chen

摘要:

利用Hugenholtz-Van Hove定理,导出了在同位旋非对称核物质中,由洛伦兹协变核子自能表示的核对称能$E_{sym}(ρ)$及其密度斜率$L(ρ)$的解析表达式.这些一般表达式对于确定对称能的密度依赖性、理解相对论协变公式中的Lorentz结构和核对称能的微观起源是有用的。作为例子,我们分析了$E_{sym}(ρ)$和$L(ρ)$的洛伦兹协变核子自能分解,并在非线性$σ$ - $ω$ - $ρ$ - $δ$相对论平均场模型中导出了相应的解析表达式.

英文摘要:

Using the Hugenholtz-Van Hove theorem, we derive analytical expressions for the nuclear symmetry energy $E_{sym}(ρ)$ and its density slope $L(ρ)$ in terms of the Lorentz covariant nucleon self-energies in isospin asymmetric nuclear matter. These general expressions are useful for determining the density dependence of the symmetry energy and understanding the Lorentz structure and the microscopic origin of the nuclear symmetry energy in relativistic covariant formulism. As an example, we analyze the Lorentz covariant nucleon self-energy decomposition of $E_{sym}(ρ)$ and $L(ρ)$ and derive the corresponding analytical expressions within the nonlinear $σ$-$ω$-$ρ$-$δ$ relativistic mean field model.

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