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arXiv 1801.09697nucl-thhep-ph
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重夸克重子的庞加莱协变分析

Poincaré-covariant analysis of heavy-quark baryons

Si-Xue Qin, Craig D. Roberts, Sebastian M. Schmidt

摘要:

本文利用量子场论中介子和重子束缚态方程的保序截断,对由轻夸克和重夸克组成的系统给出了统一的描述。特别是,我们计算的频谱和轻子衰变常数的基态赝标量和矢量介子:$q^\prime \bar q$,$Q^\prime \bar Q$,与$q^\prime,q=u,d,s$和$Q^\prime,Q = c,b$ ;和质量的$J^P=3/2^+$重子和他们的第一个正宇称激发,包括那些包含一个或多个重夸克。这种庞加莱协变分析预言了这样的重子具有复杂的角动量结构。例如,基态都主要是$S$波,但每个都具有$P$波、$D$波和$F$波分量,其中$P$波分量在$qqq$态中很大;每个通道中的第一个正宇称激发都具有很大的$D$波分量,它随着电流夸克质量的增加而增加,但也表现出与径向激发一致的特征。所有这些重子的组态空间范围随着价夸克组分质量的增加而减小。

英文摘要:

We use a symmetry-preserving truncation of meson and baryon bound-state equations in quantum field theory in order to develop a unified description of systems constituted from light- and heavy-quarks. In particular, we compute the spectrum and leptonic decay constants of ground-state pseudoscalar- and vector-mesons: $q^\prime \bar q$, $Q^\prime \bar Q$, with $q^\prime,q=u,d,s$ and $Q^\prime,Q = c,b$; and the masses of $J^P=3/2^+$ baryons and their first positive-parity excitations, including those containing one or more heavy quarks. This Poincaré-covariant analysis predicts that such baryons have a complicated angular momentum structure. For instance, the ground states are all primarily $S$-wave in character, but each possesses $P$-, $D$- and $F$-wave components, with the $P$-wave fraction being large in the $qqq$ states; and the first positive-parity excitation in each channel has a large $D$-wave component, which grows with increasing current-quark mass, but also exhibits features consistent with a radial excitation. The configuration space extent of all such baryons decreases as the mass of the valence-quark constituents increases.

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