碎裂函数与核子结构函数是当前人们描述高能反应强子产生过程所必需的两个关键的物理量，对它们进行深入的研究不仅是人们对高能反应进行准确与可靠的描述的前提，而且也是研究强相互作用性质的重要方面。实验与理论的进展，使当前研究的前沿深入到对横动量以及自旋的依赖，所研究的反应过程也由单举深入到半单举。在共线展开技术下建立起适合于这些半单举过程的理论框架，计算不同情形下leading与higher twist的贡献、研究相应碎裂函数分量的形式等都成为目前研究的重要前沿课题。本项目的目标是以e+e-湮灭反应为例，将共线展开应用到半单举过程，建立相应的理论框架，研究不同极化情形下自旋取不同值（0、1/2、1）的强子产生的各种不对称性与相应碎裂函数分量的关系，计算相应的leading与higher twist贡献；并根据实验的情况，对这些碎裂函数分量开展唯像学研究，包括它们的物理意义、参数化形式与模型计算等。

Fragmentation and structure function are the two important physical quantities in describing hadron production in high energy reactions. The study of them is not only necessary to provide a precise and reliable description of high energy reaction but also an important aspect in studying the property of strong interaction. With the progress of experiment and theory, the study now goes deep into the spin and the transverse momentum dependence and the processes considered are semi-inclusive instead of inclusive. The active frontiers include: constructing an appropriate theoretical framework based on collinear expansion, calculating the different asymmetries in different polarization cases in terms of different components of the fragmentation function including leading as well as higher twist contributions, and the studying of the form of these different components of the fragmentation function and so on. The aim of this project is to use e+e- annihilation as an example, to construct an appropriate theoretical framework for the semi-inclusive process, to study the asymmetries in different cases for hadron with different spins (0, 1/2 and 1), to calculate the leading and higher twist contributions; and carry out the phenomenological studies according the data available including the physical interpretations, the parameterizations and possible model calculations.