论文标题
核物质是自发破裂的半古典$ su（2）_l \ times su（2）_r $手性扰动理论的核物质：静态手性核子液体
Nuclear matter as a liquid phase of spontaneously broken semi-classical $SU(2)_L \times SU(2)_R$ chiral perturbation theory: Static chiral nucleon liquids
论文作者
论文摘要
我们研究了基于自发损坏的全局$ su（2）_l \ times su（2）_r $手性对称性的核结构的有效野外理论（EFT），QCD和两个无质量的夸克，即$ su（2）χPT$。对于基态核，此EFT可以使$λ_{χSB} \ Simeq 1 Gev $的反向膨胀和截断，分析运算符将分析运算符重归于所有环订单。我们将eft lagrangian得出订购$λ^0_ {χSB} $。 We show that $SU(2)χPT$ of protons, neutrons and pions admits a semi-classical "Static Chiral Nucleon Liquid" (Static$χ$NL) phase and that "Pion-less" $SU(2)χPT$ emerges in this liquid: far-infrared pions decouple from Static$χ$NL, vastly simplifying the derivation of saturated nuclear matter (the infinite liquid phase) and of有限的显微镜液滴（地下核素）。 静态$χ$ nl完全由偶尔，总旋转零，甚至$ z $和$ n $的核子制成；旋转和动量的局部期望值消失。他们解释了无斜$ su（2）χPT$捕获某些核素的实验地面特性的能力，这种解释直接从QCD的整体对称性和两个无质量夸克之后。 平均场静态$χ$ nl非本质孤子是$ SU（2）χPT$的半古典对称性的真实解决方案：他们遵守所有CVC和PCAC保护法，并且内部压力为零。在明确的Thomas-Fermi构造中，出现了核液体抽吸模型和半经验质量公式 - 具有正确的核密度和饱和度和不对称能量。 我们将工作与无pion/ pion/ cluster efts中的兼容和互补工作联系起来，这也完全由核子组成，并应用于光（$ a \ leq 6 $）核，这些核可能会提供重要的（<12.5％）校正静态$χnl$。
We study effective field theories (EFT) of nuclear structure based on spontaneously broken global $SU(2)_L\times SU(2)_R$ chiral symmetry of QCD with two massless quarks, i.e. $SU(2)χPT$. For ground-state nuclei, this EFT enables expansion and truncation in inverse powers of $Λ_{χSB}\simeq 1 GeV$, with analytic operators renormalized to all loop orders. We derive the EFT Lagrangian to order $Λ^0_{χSB}$. We show that $SU(2)χPT$ of protons, neutrons and pions admits a semi-classical "Static Chiral Nucleon Liquid" (Static$χ$NL) phase and that "Pion-less" $SU(2)χPT$ emerges in this liquid: far-infrared pions decouple from Static$χ$NL, vastly simplifying the derivation of saturated nuclear matter (the infinite liquid phase) and of finite microscopic liquid drops (ground-state nuclides). Static$χ$NL are made entirely of nucleons with even parity, total spin zero, and even $Z$ and $N$; local expectation values for spin and momenta vanish. They explain the power of pion-less $SU(2)χPT$ to capture experimental ground-state properties of certain nuclides, this explanation following directly from the global symmetries of QCD with two massless quarks. Mean-field Static$χ$NL non-topological solitons are true solutions of $SU(2)χPT$'s semi-classical symmetries: they obey all CVC and PCAC conservation laws and they have zero internal and external pressure. The nuclear liquid-drop model and the semi-empirical mass formula emerge -- with correct nuclear density and saturation and asymmetry energies -- in an explicit Thomas-Fermi construction. We relate our work to compatible and complementary work in pionless and in halo/ cluster EFTs, also composed entirely of nucleons and applied to light ($A\leq 6$) nuclei, which might provide important (<12.5%) corrections to Static$χNL$.
