重夸克极限下激发态B介子光锥分布振幅的计算

在重夸克展开的领头阶计算了激发态B介子,包括矢量介子B＊（3 S1）、轴矢量介子B1（1 P1、3 P1混合）及标量B介子（3 P0）的光锥分布振幅.利用运动方程以及重夸克对称性的限制,得到了2粒子和3粒子分布振幅的关系.矢量介子B＊的分布振幅关系与文献1]中基态赝标量B介子（1 S1）相同;但对于轴矢量介子B1和标量B介子,给出了新的结果.对这些新的振幅关系进行求解,进一步模型无关的确定了B1和标量B介子夸克-反夸克2粒子分布振幅的表达式.与基态B介子情况类似,最低扭度的分布振幅中也有来自多粒子态的贡献.

Excited B meson light-cone distribution amplitudes in the heavy quark limit

The light-cone distribution amplitudes （DAs） of excited B mesons are investigated in the leading order of heavy quark expansion, including the vector meson B＊ （3 $1）, axial vector meson B1 （the mixing of 1 P1 3 P1） and scalar B meson （3 P0）. Some exact relations between 2-particle and 3- particle distribution amplitudes are derived via the equations of motion and constraints from heavy quark symmetry. The DAs relations of B1 are exactly same as those of the ground state B meson, while new results are given for B1 and the scalar B meson. The quark-antiquark 2-particle DAs of B1 and scalar B meson are then determined model independently by solving these new relations. Similar to the ground state B meson, the leading twist DAs also contain the contributions from multi-particle states.