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arXiv 1101.1983hep-phhep-exhep-lat
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二重重子的同位旋分裂

Isospin splittings of doubly heavy baryons

Stanley J. Brodsky, Feng-Kun Guo, Christoph Hanhart, Ulf-G. Meißner

摘要:

SELEX合作组报道了双粲重子的一个非常大的同位旋分裂。我们表明,这种效应意味着双粲重子是非常紧凑的。一个有趣的可能性是,这种重子具有线性几何结构Q-q-Q,其中轻夸克q在两个重夸克Q之间振荡,类似于二氧化碳等线性分子。然而,使用传统的论点,一个重-轻强子的大小预计约为0.5 fm,远大于解释所观察到的大的同位旋分裂所需的大小。假设两个重夸克之间的距离远小于轻夸克和一个重夸克之间的距离,那么重重子和重介子之间通过重夸克-双夸克对称性联系起来。基于这种对称性,我们预言了包括Xi_{cc},Xi_{bb}和Xi_{bc}在内的重子的同位旋分裂。Xi_{cc}的预测值远小于SELEX值。另一方面,预测Xi_{bb}重子的同位旋分裂高达(6.3 \pm 1.7)MeV。因此,对双底重子的实验研究对于更好地理解重夸克重子的结构是非常重要的。

英文摘要:

The SELEX Collaboration has reported a very large isospin splitting of doubly charmed baryons. We show that this effect would imply that the doubly charmed baryons are very compact. One intriguing possibility is that such baryons have a linear geometry Q-q-Q where the light quark q oscillates between the two heavy quarks Q, analogous to a linear molecule such as carbon dioxide. However, using conventional arguments, the size of a heavy-light hadron is expected to be around 0.5 fm, much larger than the size needed to explain the observed large isospin splitting. Assuming the distance between two heavy quarks is much smaller than that between the light quark and a heavy one, the doubly heavy baryons are related to the heavy mesons via heavy quark-diquark symmetry. Based on this symmetry, we predict the isospin splittings for doubly heavy baryons including Xi_{cc}, Xi_{bb} and Xi_{bc}. The prediction for the Xi_{cc} is much smaller than the SELEX value. On the other hand, the Xi_{bb} baryons are predicted to have an isospin splitting as large as (6.3\pm1.7) MeV. An experimental study of doubly bottomed baryons is therefore very important to better understand the structure of baryons with heavy quarks.

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