arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0810.0293hep-phnucl-th
收藏

修正的$3^P_0$模型中的介子衰变

Meson decay in a corrected $3^P_0$ model

D. T. da Silva, M. L. L. da Silva, J. N. de Quadros, D. Hadjimichef

备注：
3 figures. To appear in Physical Review D
发表信息：
Phys.Rev.D78:076004,2008
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

广泛应用于轻、重介子衰变的$3^P_0$模型是最成功的强衰变模型之一，其中$q\bar{q}$对产生是主要机制。对的产生可以从一个微观相互作用哈密顿量的非相对论性限制，涉及狄拉克夸克场。衰变振幅的估算可以用绘制夸克线的图解法来完成。在本文中，我们使用另一种方法，其中包括在映射技术，福克-塔尼形式主义，为了获得有效的哈密顿量从相同的微观相互作用。在与介子的扩展性质相关的形式中，还存在一个额外的效应：束缚态修正。作为一个例子，得到一个修正的$3^P_0$并应用于$b_{1}\toωπ$和$a_{1}\toρπ$衰变。

英文摘要：

Extensively applied to both light and heavy meson decay and standing as one of the most successful strong decay models is the $3^P_0$ model, in which $q\bar{q}$ pair production is the dominant mechanism. The pair production can be obtained from the non-relativistic limit of a microscopic interaction Hamiltonian involving Dirac quark fields. The evaluation of the decay amplitude can be performed by a diagrammatic technique for drawing quark lines. In this paper we use an alternative approach which consists in a mapping technique, the Fock-Tani formalism, in order to obtain an effective Hamiltonian starting from same microscopic interaction. An additional effect is manifest in this formalism associated to the extended nature of mesons: bound-state corrections. A corrected $3^P_0$ is obtained and applied, as an example, to $b_{1}\toωπ$ and $a_{1}\toρπ$ decays.

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。

↑