论文标题
PDF和Spin-1 Hadron的Multeparton分布功能的有用关系和总和规则
Useful relations and sum rules for PDFs and multiparton distribution functions of spin-1 hadrons
论文作者
论文摘要
自旋1 Hadron中有两种极化类型，它们是向量和张量极化。后者是独特的，因为它不存在于自旋1/2质子中。质子和自旋1 Hadron的矢量偏振PDF均相同。因此，我们主要研究张量极化的Hadron中的独特PDF。通过使用操作员产品扩展，可以用质子的$ g_t $以相同的方式以两个项表示twist-3 pdf $ f_ {lt} $。第一项由由实验测量的Twist-2 PDF $ f_ {1ll} $（或$ b_1 $）确定，第二项由Twist-3 Quark-Gluon分布表示。如果我们忽略了更高的效果，则$ f_ {lt} $仅由$ f_ {1ll} $给出，并且此关系类似于$ g_t $的wandzura-wilczek关系。此外，还以$ f_ {2lt} = 2/3 f_ {lt} -f_ {1ll} $获得了一个新的总规则，该规则类似于Burkhardt-Cottingham Sum规则，在Tensor极偏置的Spin-1 Hadron中。将来，这些有趣的关系可以在加速器设施中进行研究，例如杰斐逊实验室，费米拉布，俄罗斯的基于核优量的离子对撞机设施，美国和中国的拟议电子离子山谷。
There are two types of polarizations in spin-1 hadrons, and they are vector and tensor polarizations. The latter is a unique one since it does not exist in the spin-1/2 proton. The vector-polarized PDFs are the same for both the proton and spin-1 hadrons; therefore, we mainly investigate the unique PDFs in tensor-polarized hadrons. By using the operator product expansion, the twist-3 PDF $f_{LT}$ can be expressed by two terms in the same way with $g_T$ of the proton. The first term is determined by the twist-2 PDF $f_{1LL}$ (or $b_1$) which was measured by an experiment, and the second term is expressed by twist-3 quark-gluon distributions. If we neglect the higher-twist effects, $f_{LT}$ is simply given by $f_{1LL}$, and this relation is similar to the Wandzura-Wilczek relation of $g_T$. Furthermore, a new sum rule is also obtained for $f_{2LT}=2/3 f_{LT}- f_{1LL}$, which is analogous to the Burkhardt-Cottingham sum rule, in the tensor-polarized spin-1 hadrons. In future, these interesting relations could be studied at accelerator facilities, such as the Jefferson Laboratory, the Fermilab, the nuclotron-based ion collider facility in Russia, the proposed electron-ion colliders in US and China.
