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arXiv 0807.2674hep-ph
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有效场论中X（3872）到chi_{cJ}的强子衰变

Hadronic Decays of the X(3872) to chi_{cJ} in Effective Field Theory

Sean Fleming, Thomas Mehen

备注：
13 Pages, 3 Figures. We recalculate the decay to chi_{c1} + pi^0 + pi^0 including the D^{*0} width and find a branching fraction relative to the decay to chi_{c1} + pi^0 that is 0.6
发表信息：
Phys.Rev.D78:094019,2008
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摘要：

在中性粲介子浅束缚态的假设下，计算了X（3872）衰变为P波夸克偶素的过程。X（3872）是用非相对论D介子和π介子的有效理论（X-EFT）描述的。我们首先将重强子手征微扰理论（HHchiPT）中D^0 bar{D}^{*0} -> chi_{cJ} +（pi^0，pi +pi）的振幅匹配到X-EFT中的局域算符上，然后用这些算符计算X（3872）的衰变.这个过程再现了以前用算子乘积展开导出的X（3872）衰变到常规夸克偶素的因式分解定理。对于单π介子衰变，我们发现非平凡的依赖于π介子的能量从HHchiPT图与虚拟D介子。这种非平凡的能量依赖性可能会修改重夸克对称性预测的衰变率的相对大小。在首阶，衰变到有两个π介子的末态的过程主要是由末态chi_{c1} + pi^0 + pi^0主导的，而衰变到chi_{c1} + pi^0的过程的分支分数则略低于这个分支分数。衰变到所有其他有两个π介子的末态都被高度抑制。

英文摘要：

The decays of the X(3872) to P-wave quarkonia are calculated under the assumption that it is a shallow bound state of neutral charmed mesons. The X(3872) is described using an effective theory of nonrelativistic D mesons and pions (X-EFT). We calculate X(3872) decays by first matching heavy hadron chiral perturbation theory (HHchiPT) amplitudes for D^0 bar{D}^{*0} -> chi_{cJ} + (pi^0,pi+pi) onto local operators in X-EFT, and then using these operators to calculate the X(3872) decays. This procedure reproduces the factorization theorems for X(3872) decays to conventional quarkonia previously derived using the operator product expansion. For single pion decays, we find nontrivial dependence on the pion energy from HHchiPT diagrams with virtual D mesons. This nontrivial energy dependence can potentially modify heavy quark symmetry predictions for the relative sizes of decay rates. At leading order, decays to final states with two pions are dominated by the final state chi_{c1} + pi^0 + pi^0, with a branching fraction just below that for the decay to chi_{c1} + pi^0. Decays to all other final states with two pions are highly suppressed.

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