arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1104.3974hep-ph
收藏

红外约束相对论组分夸克模型中四夸克态$X(3872) \to γ+ J/ψ$的单光子衰变

One-photon decay of the tetraquark state $X(3872) \to γ+ J/ψ$ in a relativistic constituent quark model with infrared confinement

Stanislav Dubnicka, Anna Z. Dubnickova, Mikhail A. Ivanov, Jurgen G. Korner, Pietro Santorelli, Gozyal G. Saidullaeva

摘要:

我们进一步探讨了将X(3872)介子作为四夸克束缚态处理的结果,在我们以前的论文中发展的方法的框架下,通过分析它的单光子衰变X => γ + J/psi,有效地结合了夸克禁闭。为了介绍电磁学,我们用P-指数路径无关的形式来测量描述X(3872)介子与其四个组分夸克相互作用的非定域有效拉格朗日量。计算了跃迁X => γ + J/psi的矩阵元,证明了它的规范不变性.我们计算了X => γ + J/psi的衰变宽度和J/psi在这个衰变中的纵向/横向成分。对于一个合理的值的X(3872)介子的尺寸参数,我们发现与现有的实验数据一致。我们还计算了该过程的螺旋度和多极振幅,并描述了如何通过协变投影从协变跃迁振幅获得它们。

英文摘要:

We further explore the consequences of treating the X(3872) meson as a tetraquark bound state by analyzing its one-photon decay X => γ+ J/psi in the framework of our approach developed in previous papers which incorporates quark confinement in an effective way. To introduce electromagnetism we gauge a nonlocal effective Lagrangian describing the interaction of the X(3872) meson with its four constituent quarks by using the P-exponential path-independent formalism. We calculate the matrix element of the transition X => γ+ J/psi and prove its gauge invariance. We evaluate the X=> γ+ J/psi decay width and the longitudinal/transverse composition of the J/psi in this decay. For a reasonable value of the size parameter of the X(3872) meson we find consistency with the available experimental data. We also calculate the helicity and multipole amplitudes of the process, and describe how they can be obtained from the covariant transition amplitude by covariant projection.

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。

↑