论文标题
2比1梅森膜散射的横截面
Cross sections for 2-to-1 meson-meson scattering
论文作者
论文摘要
我们研究过程$ k \ bar {k} \至ϕ $，$πd\ to d^\ ast $，$π\ bar {d} \ to \ bar {d}^\ ast $，以及$ψ（3770）$，$ψ（4040）$，$，$ψ（4160）（4160）（4160）（4160）（4160）迷人的介子或迷人的奇怪介子的碰撞。 2比1梅森膜散射的过程涉及两个初始介子中的夸克和一个古夸克，然后将其灭入gluon，然后被观众夸克或古夸克吸收。散射过程的过渡幅度源自与中间夸克 - 易夸克波函数的过渡势和两个初始介子的相对运动波函数。我们在两个初始介子的相对运动波函数的部分波膨胀中得出了这些过渡幅度，以维持奇偶校验和总角度摩肌保护。我们根据使用过渡幅度的反应的过渡势和不偏置的横截面来计算风味和自旋矩阵元件。生产$ψ（4040）$，$ψ（4160）$和$ψ（4415）$的跨部分与其径向波函数中的节点相关。我们建议生产$ψ（4040）$，$ψ（4160）$和$ψ（4415）$，作为对雄性物质的探针，这些探针是由超层次的重型离子碰撞产生的夸克 - 格洛隆等离子体的结果。
We study the processes $K\bar{K} \to ϕ$, $πD \to D^\ast$, $π\bar{D} \to \bar{D}^\ast$, and the production of $ψ(3770)$, $ψ(4040)$, $ψ(4160)$, and $ψ(4415)$ mesons in collisions of charmed mesons or charmed strange mesons. The process of 2-to-1 meson-meson scattering involves a quark and an antiquark from the two initial mesons annihilating into a gluon and subsequently the gluon being absorbed by the spectator quark or antiquark. Transition amplitudes for the scattering process derive from the transition potential in conjunction with mesonic quark-antiquark wave functions and the relative-motion wave function of the two initial mesons. We derive these transition amplitudes in the partial wave expansion of the relative-motion wave function of the two initial mesons so that parity and total-angular-momentum conservation are maintained. We calculate flavor and spin matrix elements in accordance with the transition potential and unpolarized cross sections for the reactions using the transition amplitudes. Cross sections for the production of $ψ(4040)$, $ψ(4160)$, and $ψ(4415)$ relate to nodes in their radial wave functions. We suggest the production of $ψ(4040)$, $ψ(4160)$, and $ψ(4415)$ as probes of hadronic matter that results from the quark-gluon plasma created in ultrarelativistic heavy-ion collisions.
