论文标题
相对论的康奈尔型式标量共振的机制
The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
论文作者
论文摘要
耦合$ q \ bar q $和$φφ$（π-π$，$ k \ bar k，πk，... $）标量通道的形式主义被考虑到地面和径向激发$ q \ bar q $ pol。基本角色显示出通过过渡系数$ k^{（i）}（q \ bar q，|φφ）$扮演，该$使用Quark-hiral lagrangian无需免费参数就计算出来。所得的方法称为杆投影机制（PPM），可确保：1）从基本$ q \ bar q $ pole，例如，每个$φφ$通道的一个共振，例如$ f_0（500）$共振在$ππ$ channel中； 2）有可能有两个$φφ$共振，与同一频道耦合在Meson-Meson通道中考虑到同一$ f_0（500）$和$ f_0（980）（980）$的同一$ n \ bar n \ bar n \ bar n \ bar n \ bar n \ bar n \ bar n \ bar n \ bar N $ apor abous of 1 geev; 3）由于大型过渡系数$ k^{（i）} $，在没有免费参数的情况下计算出的大型过渡系数$ k^{（i）} $，强的极点向下移动（$ππ，πk）$通道。 The parameters of calculated complex poles are in reasonable agreement with the experimental data of the resonances $f_0(500)$, $f_0(980)$, $a_0(980)$, $a_0(1450)$, $K^*_0(700)$, $K^*_0(1430)$, $f_0(1370)$ and $f_0(1710)$.
The formalism of the coupled $q\bar q$ and the $φφ( π-π$, $K\bar K, πK,...$) scalar channels is formulated, taking into account the ground and radial excited $q\bar q$ poles. The basic role is shown to be played by the transition coefficients $k^{(I)} (q\bar q, |φφ)$, which are calculated using the quark-chiral Lagrangian without free parameters. The resulting method, called the pole projection mechanism (PPM), ensures: 1) one resonance for each $φφ$ channel from the basic $q\bar q$ pole, e.g. the $f_0 (500)$ resonance in the $ππ$ channel; 2) a possibility to have two $φφ$ resonances, coupled to the same $q\bar q$ state, when the channel coupling is taken into account in the meson-meson channels, which yields $f_0 (500)$ and $f_0(980)$ from the same $n\bar n$ pole around 1 GeV; 3) the strong pole shift down for special ($ππ, πK)$ channels due to large transition coefficients $k^{(I)}$, computed in this formalism without free parameters. The parameters of calculated complex poles are in reasonable agreement with the experimental data of the resonances $f_0(500)$, $f_0(980)$, $a_0(980)$, $a_0(1450)$, $K^*_0(700)$, $K^*_0(1430)$, $f_0(1370)$ and $f_0(1710)$.
