论文标题
依赖风味的U（3）Nambu Jona Lasinio耦合常数
Flavor-dependent U(3) Nambu Jona Lasinio coupling constant
论文作者
论文摘要
一种非扰动的gluon交换夸克式的互动被认为可以计算依赖风味的u（3）nambu-jona-lasinio（njl）type $ g_ {ij {ij，γ}（\ bar单ψλ_iγψ）（\ bar单兰λ_jγγ）的相互作用一个循环极化过程，具有非退化U-D-S夸克有效质量。所有通道中所得的NJL型耦合常数均在长波长极限中解析，并为有效的Gluon传播器的不同选择提供了数值结果。发现有关风味对称耦合常数的领先偏差的顺序为$（m_ {f_2}^* - m_ {f_1}^*） $ f_1，f_2 = u，d $和$ s $。标量频道耦合常数$ g_ {ij，s} $可能比伪callosar的标量频道小得多。耦合常数对液体和kaons质量的风味依赖性的影响几乎与U，D和S Quark质量非基质的效果相同。这些耦合常数的效果也得到了某些夸克 - 易夸克状态以及伪内分膜的某些可观察到的轻量标膜介体质量的验证。
A non-perturbative one gluon exchange quark-antiquark interaction is considered to compute flavor dependent U(3) Nambu-Jona-Lasinio (NJL)-type interaction of the form $G_{ij, Γ} (\barψ λ_i Γψ) ( \barψ λ_j Γψ)$ for $i,j=0...8$ and $Γ=I, i γ_5$ from one loop polarization process with non degenerate u-d-s quark effective masses. The resulting NJL-type coupling constants in all channels are resolved in the long-wavelength limit and numerical results are presented for different choices of an effective gluon propagator. Leading deviations with respect to a flavor symmetric coupling constant are found to be of the order of $(M_{f_2}^*-M_{f_1}^*)^n/(M_{f_2}^*+M_{f_1}^*)^n$, for $n=1,2$, where $M_{f_i}^*$ are the effective masses of quarks $f_1,f_2=u, d$ and $s$. The scalar channel coupling constants $G_{ij, s}$ can be considerably smaller than pseudoscalar ones. The effect of the flavor-dependence of coupling constants for the masses of pions and kaons may be nearly of the same order of magnitude as the effect of the u,d and s quark mass non-degeneracy. The effect of these coupling constants is also verified for some of the light scalar mesons masses, usually described by quark-antiquark states, and for some observables of the pseudoscalar mesons.
