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Identifying the structure of near-threshold states from the line shape

ISSN号：1674-1137
期刊名称：Chinese Physics C
时间：2015.9
页码：-
分类：O572.33[理学—粒子物理与原子核物理;理学—物理] TU311.2[建筑科学—结构工程]
作者机构：[1]Department of Physics, Xinjiang University, Urumqi 830046, China, [2]Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China, [3]Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences. Beijing 100049, China, [4]State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
相关基金：Supported by National Natural Science Foundation of China （11147022, 11035006, 11305137）, Chinese Academy of Sciences （KJCX2- EW-N01）, Ministry of Science and Technology of China （2009CB825200）, DFG and NSFC （11261130311） through funds provided to the Sino-German CRC 110 ＂Symmetries and the Emergence of Structure in QCD＂, and Doctor Foundation of Xinjiang University （BSl10104）
相关项目：强相互作用量子色动力学对称性及其物质结构

作者： Chen Guo-Ying|Huo Wen-Sheng|Zhao Qiang|

关键词：结构状态, 形状识别, 阈值, 不变质量分布, 生产机制, 有效场理论, 不变质量谱, B介子衰变, X（3872）, effective field theory, compositeness

中文摘要：

We revisit the compositeness theorem proposed by Weinberg in an effective field theory(EFT) and explore criteria which are sensitive to the structure of S-wave threshold states. On a general basis, we show that the wave function renormalization constant Z, which is the probability of finding an elementary component in the wave function of a threshold state, can be explicitly introduced in the description of the threshold state. As an application of this EFT method, we describe the near-threshold line shape of the D*0 Dˉ0invariant mass spectrum in B→D*0 Dˉ0K and determine a nonvanishing value of Z. It suggests that the X(3872) as a candidate of the D*0 Dˉ0molecule may still contain a small cˉc core. This elementary component, on the one hand, explains its production in the B meson decay via a short-distance mechanism, and on the other hand, is correlated with the D*0 Dˉ0threshold enhancement observed in the D*0 Dˉ0invariant mass distributions. Meanwhile, we also show that if Z is non-zero, the near-threshold enhancement of the D*0 Dˉ0mass spectrum in the B decay will be driven by the short-distance production mechanism.更多还原

英文摘要：

We revisit the compositeness theorem proposed by Weinberg in an effective field theory （EFT） and explore criteria which are sensitive to the structure of S-wave threshold states. On a general basis, we show that the wave function renormalization constant Z, which is the probability of finding an elementary component in the wave function of a threshold state, can be explicitly introduced in the description of the threshold state. As an application of this EFT method, we describe the near-threshold line shape of the D＊0D0 invariant mass spectrum in B→D＊0D-0K and determine a nonvanishing value of Z. It suggests that the X（3872） as a candidate of the D＊0D0 molecule may still contain a small cc core. This elementary component, on the one hand, explains its production in the B meson decay via a short-distance mechanism, and on the other hand, is correlated with the D＊0D0 threshold enhancement observed in the D＊0D0 invariant mass distributions. Meanwhile, we also show that if Z is non-zero, the near-threshold enhancement of the D＊0D0 mass spectrum in the B decay will be driven by the short-distance production mechanism.

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