论文标题
$ ϕ $ MESON的核事务中的QCD总和规则,带有chirally分离的四夸克冷凝物
$ϕ$ meson properties in nuclear matter from QCD sum rules with chirally separated four-quark condensates
论文作者
论文摘要
考虑到正确处理四夸克冷凝物的手性不变和破裂组件的最新改进,研究了核问题上$ ϕ $梅森频谱的修改。允许质量和衰减宽度以有限密度变化,QCD总规则分析确定了这些参数的某些变化的组合,这些变化可以很好地满足总和规则。全面的误差分析,包括与密度线性秩序的各种冷凝物的行为相关的不确定性,使用威尔逊系数的重新归一化量表和扰动校正,用于计算这些参数组合的允许范围。我们发现,核物质的$ ϕ $梅森质量转移对奇怪的sigma项$σ_{sn} $特别敏感,这决定了核物质中奇怪的夸克冷凝物的减少。具体而言,我们获得了宽度$ γ_ϕ $和质量偏移$Δm_Dcc.和$ c = - (7.707^{+4.791} _ { - 5.679})\ Mathrm {Mev} $。
The modification of the $ϕ$ meson spectrum in nuclear matter is studied in an updated QCD sum rule analysis, taking into account recent improvements in properly treating the chiral invariant and breaking components of four-quark condensates. Allowing both mass and decay width to change at finite density, the QCD sum rule analysis determines certain combinations of changes for these parameters that satisfy the sum rules equally well. A comprehensive error analysis, including uncertainties related to the behavior of various condensates at linear order in density, the employed renormalization scale and perturbative corrections of the Wilson coefficients, is used to compute the allowed ranges of these parameter combinations. We find that the $ϕ$ meson mass shift in nuclear matter is especially sensitive to the strange sigma term $σ_{sN}$, which determines the decrease of the strange quark condensate in nuclear matter. Specifically, we obtain a linear relation between the width $Γ_ϕ$ and mass shift $Δm_ϕ$ given as $ Γ_ϕ = aΔm_ϕ + bσ_{sN}+c$ with $a = (3.947^{+0.139}_{-0.130})$, $b = (0.936^{+0.180}_{-0.177} )$ and $c = -(7.707^{+4.791}_{-5.679}) \mathrm{MeV}$.