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arXiv 0710.1907nucl-th
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介子-介子非共振反应的截面

Cross sections for meson-meson nonresonant reactions

Yu-Qi Li, Xiao-Ming Xu

摘要:

在一个由QCD导出的势场中研究了夸克交换机制下的介子-介子非共振反应。用中心自旋无关项确定的波函数计算了I=2 ππ和I=3/2 K π散射的S波弹性相移。反应包括两个介子在基态赝标八重态和基态矢量九重态中的非弹性散射。涉及π、ρ、K和K^* 的反应的截面表明,仅由K和K^* 组成的物质中的介子相互作用可能比仅由π和ρ组成的物质中的介子相互作用更强,并且I=3/2 πK^* \to ρK的反应在吸热非共振反应中是最重要的。利用夸克交换机制,我们可以给出π介子和ρ介子碰撞中φ吸收截面的\sqrt s依赖性,以及相应的平均截面,对于I=1 π \to K^* 反应,这些截面非常小,而对于I=1 ρ \to K^* 反应,这些截面则非常大。从截面的\sqrt s依赖性发现,ρ和K^* 产生截面可以分别大于它们的吸收截面。

英文摘要:

Meson-meson nonresonant reactions governed by the quark-interchange mechanism are studied in a potential that is derived from QCD. S-wave elastic phase shifts for I=2 ππand I=3/2 K πscattering are obtained with wave functions determined by the central spin-independent term of the potential. The reactions include inelastic scatterings of two mesons in the ground-state pseudoscalar octet and the ground-state vector nonet. Cross sections for reactions involving pion, rho, K and K^* indicate that mesonic interactions in matter consisting of only K and K^* can be stronger than mesonic interactions in matter consisting of only pions and rhos and the reaction of I=3/2 πK^* \to ρK is most important among the endothermic nonresonant reactions. By the quark-interchange mechanism we can offer \sqrt s-dependences of phi absorption cross sections in collisions with pion and rho and relevant average cross sections what are very small for the reaction of I=1 πϕ\to K^* K^* and remarkably large for the reaction of I=1 ρϕ\to K^* K^*. It is found from the \sqrt s-dependences of cross sections that rho and K^* creation cross sections can be larger than their absorption cross sections, respectively.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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