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arXiv 1606.03239hep-phnucl-th
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夸克偶素对介子分子的贡献

Quarkonium Contribution to Meson Molecules

E. Cincioglu, J. Nieves, A. Ozpineci, A. U. Yilmazer

摘要:

从X(3872)共振的分子图像出发,在一个模型中分析了这个态和它的J^{PC}=2++ HQSS伙伴[X2(4012)],该模型包含了与2 P粲偶素态的可能混合。由于可以合理地预期裸chi_{c1}(2 P)位于D \bar D* 阈值之上,但相对接近它,粲偶素状态的存在提供了一个有效的吸引力,将有助于结合X(3872),但它不会出现在2++扇区中。实际上,在后一个扇区中,chi_{c2}(2 P)应该提供有效的小排斥,因为它被置于D* \bar D* 阈值以下。我们展示了由于D(*)\bar D(*)环效应,1++和2++裸粲偶素极如何被修改,并且第一个被移动到复平面。介子环产生,除了一些转移的charmonia的质量,1++打扮charmonium状态的有限宽度。另一方面,X(3872)和X2(4012)开始产生一些粲偶素含量,这是通过合成温伯格求和规则估计的。我们还表明,对于X(3872)分子的概率约为70- 90%,X2共振不稳定,并从光谱中消失,成为一个虚拟的状态或位于深入复杂的平面,与D* \bar D* 散射线的影响减少。

英文摘要:

Starting from a molecular picture for the X(3872) resonance, this state and its J^{PC}=2++ HQSS partner [X2(4012)] are analyzed within a model which incorporates possible mixings with 2P charmonium states. Since it is reasonable to expect the bare chi_{c1}(2P) to be located above the D\bar D* threshold, but relatively close to it, the presence of the charmonium state provides an effective attraction that will contribute to bind the X(3872), but it will not appear in the 2++ sector. Indeed in this latter sector, the chi_{c2}(2P) should provide an effective small repulsion, because it is placed well below the D*\bar D* threshold. We show how the 1++ and 2++ bare charmonium poles are modified due to the D(*)\bar D(*) loop effects, and the first one is moved to the complex plane. The meson loops produce, besides some shifts in the masses of the charmonia, a finite width for the 1++ dressed charmonium state. On the other hand, the X(3872) and X2(4012) start developing some charmonium content, which is estimated by means of the compositeness Weinberg sum-rule. We also show that for X(3872) molecular probabilities of around 70-90 %, the X2 resonance destabilizes and disappears from the spectrum, becoming either a virtual state or being located deep into the complex plane, with decreasing influence in the D* \bar D* scattering line.

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