The uncertainties of background contributions to J = 0 partial wave πK scattering phase shifts are carefully studied. We firstly point out that the circular cuts exhibit different characters in S1/1 and S3/2 waves. W...The uncertainties of background contributions to J = 0 partial wave πK scattering phase shifts are carefully studied. We firstly point out that the circular cuts exhibit different characters in S1/1 and S3/2 waves. While the former contributes negatively to the scattering length parameter, the latter contributes positively, i.e., has a wrong sign. This fact indicates that short range force contribu tions to the phase shift are non-negligible in the exotic channel. Nevertheless, it is verified that the κ pole will be affected only slightly with respect to the theoretical uncertainty in estimating the left hand cut contributions.展开更多
The structure and some properties of ＊τx are discussed in the nonstandard κ-saturated model in this paper. First, a sufficient and necessary condition of a internal set in ＊τx is given. Then, in κ-saturation, so...The structure and some properties of ＊τx are discussed in the nonstandard κ-saturated model in this paper. First, a sufficient and necessary condition of a internal set in ＊τx is given. Then, in κ-saturation, some properties of ＊τx are proved. Finally, the approach theorem is easily obtained.展开更多
基金The project supported in part by National Natural Science Foundations of China under Grant Nos. 10575002, 10421503, and 10491306.Acknowledgments It is a pleasure to thank Prof. Han-Qing Zheng for valuable discussions and a careful reading of the manuscript.
文摘The uncertainties of background contributions to J = 0 partial wave πK scattering phase shifts are carefully studied. We firstly point out that the circular cuts exhibit different characters in S1/1 and S3/2 waves. While the former contributes negatively to the scattering length parameter, the latter contributes positively, i.e., has a wrong sign. This fact indicates that short range force contribu tions to the phase shift are non-negligible in the exotic channel. Nevertheless, it is verified that the κ pole will be affected only slightly with respect to the theoretical uncertainty in estimating the left hand cut contributions.
基金Foundation item:the Natural Science Foundation of Shaanxi Province(2007A12)the Basic Research Foundation of Xi'an Arch.&Tech.University(JC0620)the Youth Science Technology of Xi'an Arch.&Tech.University (QN0736)
文摘The structure and some properties of ＊τx are discussed in the nonstandard κ-saturated model in this paper. First, a sufficient and necessary condition of a internal set in ＊τx is given. Then, in κ-saturation, some properties of ＊τx are proved. Finally, the approach theorem is easily obtained.
