论文标题
NAMBU-JONA-LASINIO模型中最轻的标量介体的夸克 - 易夸克状态具有风味依赖性耦合常数
Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
论文作者
论文摘要
U（3）最轻的标量介子nonet的夸克Antiquark成分是通过考虑具有风味依赖性耦合常数的Nambu-Jona-lasinio模型来考虑通过（非扰动）gluon交换来得出的。中性状态$ s_0 $，$ s_8 $和$ s_3 $分别作为$σ（500）$，$ f_0（980）$和$ a_0^0（980）$ MESON的最相关的Quark-Antiquark组件。结果，状态之间的质量层次结构$ s_0 $和$ s_8 $，以及$ k^*_ 0（700） - a_0（980）$介子，可以分别反转和纠正，并以相当低的奇怪夸克构成质量值进行更正。除此之外，对于$ m_s^*$的某些特定值，也可以通过考虑混合耦合常数$ g_ {08} $来获得$σ（500）$和$ f_0（980）$的质量。但是，所有九个介子的质量均未同时在自一致的过程中同时描述，这与非夸克 - 易药国家需要完全描述其群众有关。定义了一个中性 - 梅森混合矩阵，并通过拟合$σ（500）$ -F_0（980）$质量差的正确值来找到领先的混合角度。提出了两个不同的混合优势估计值，$ a_0^0 \ to f_0 $和$ f_0 \ to a_0^0 $提出了不同的估计，导致了一些不同的行为。首先，通过假设向中间风味特征状态的领先过渡，其次是考虑动态进化。结果可能与BESS-III的实验值非常吻合，具体取决于奇怪的有效质量的值。
The quark antiquark components of the U(3) lightest scalar meson nonet are investigated by considering the Nambu-Jona-Lasinio model with flavor-dependent coupling constants that were derived by considering (non-perturbative) gluon exchange.The strange quark effective mass ($M_s^*$) is varied such that the strangeness content of these scalar mesons can be analyzed further. The neutral states $S_0$, $S_8$ and $S_3$, are adopted as the most relevant quark-antiquark components respectively of the $σ(500)$, $f_0(980)$ and $A_0^0(980)$ mesons. As a result, the mass hierarchy between states $S_0$ and $S_8$, and $K^*_0(700) - A_0(980)$ mesons, can be respectively inverted and corrected for quite low values of the strange quark constituent mass. Besides that, for some particular values of $M_s^*$, the masses of $σ(500)$ and $f_0(980)$ can also be obtained by considering the mixing coupling constant $G_{08}$. However, the masses of all the nine mesons are not described simultaneously in a self-consistent procedure and this goes along with the need of non-quark-antiquark states to completely describe their masses. A neutral-meson mixing matrix is defined and the leading mixing angle is found by fitting a correct value of the $σ(500)$-$f_0(980)$ mass difference. Two different estimates for the strengths of the mixings $A_0^0 \to f_0$ and $f_0 \to A_0^0$ are proposed, leading to somewhat different behaviors. Firstly, by assuming leading transitions to intermediary flavor eigenstates and secondly by considering a dynamical evolution. Results may be in good agreement with experimental values from BESS-III depending on the value of the strange quark effective mass.
