meson

$f^0$

${\kappa }^{+}\left({\kappa }^{-}\right)$

${\kappa }^0\left(\overline{{\kappa }^0}\right)$

$\eta$

${\eta }^{\prime }$

$a_0$

quark

$\begin{array}{l}u\overline{u}\cos \theta \\ +d\overline{d}\sin \theta \end{array}$

$u\overline{s}\left(\overline{u}s\right)$

$d\overline{s}\left(\overline{d}s\right)$

$\begin{array}{l}\left(u\overline{u}+d\overline{d}\right)\cos \theta \\ -s\overline{s}\sin \theta \end{array}$

$\begin{array}{l}\left(u\overline{u}+d\overline{d}\right)\cos \theta \\ +s\overline{s}\sin \theta \end{array}$

$\begin{array}{l}u\overline{u}\cos \theta \\ -d\overline{d}\sin \theta \end{array}$

${\kappa }^{{\chi }_3}$

1

1

1

2

5

6

${\kappa }^{{\chi }_2}$

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{1}{2}$

$\frac{3}{2}$

$\frac{9}{2}$

$\frac{11}{2}$

n

0

0

0

1

4

5

$\frac{H_1^{\left({\chi }_3\right)}}{{\left(m_1+m_2\right)}^2}$

9.70645

9.70645

9.70645

7.517288

7.098759

0.009287

$\frac{H_1^{\left({\chi }_2\right)}}{{\left(m_1+m_2\right)}^2}$

2.70136

2.70136

2.70136

8.548402

1.790447

0.034424

$\cos \theta$

$\frac{1}{\sqrt{2}}$

-

-

0.977172

0.503492

$\frac{1}{\sqrt{2}}$

$\sin \theta$

$\frac{1}{\sqrt{2}}$

-

-

0.21245

0.864

$\frac{1}{\sqrt{2}}$

$M_e$ (MeV)

441.339

493.672

497.623

547.816

957.772

989.780

$M_m$

(MeV) [21]

400 - 550

493.677

(±0.016)

497.614

(±0.024)

547.862

(±0.018)

957.78

(±0.06)

980

(±20)