We perform a study of two-channel correlation functions for system with two open bottom quarks using an extension of the local hidden gauge approach which provides the interaction from the exchange of light vector mesons and gives rise to a bound state of these components in I=0 with a binding energy of about 21 MeV. After that, we face the inverse problem of determining the low energy observables, scattering length and effective range for each channel, the possible existence of a bound state, and, if found, the couplings of such a state to each component as well as the molecular probabilities of each of the channels. We use the bootstrap method to determine these magnitudes and find that, with errors in the correlation function typical of present experiments, we can determine all these magnitudes with acceptable precision. In addition, the size of the source function of the experiment from where the correlation functions are measured can be also determined with a high precision.

戴连荣，教授，博士生导师。 1990年本科毕业于辽宁大学；1993年硕士毕业于中科院近代物理研究所；1996年博士毕业于中科院高能物理研究所，毕业后一直在辽宁师范大学工作，2020年11月到湖州师范学院工作。2011年入选辽宁省“百千万人才工程”百人层次；2015年入选辽宁省高等学校优秀科技人才支持计划。曾在西班牙瓦伦西亚大学、日本大阪大学和美国路易斯安那州立大学访问与合作。目前已主持5项国家自然科学基金面上项目。