Correlation function and the inverse problem in the BD interaction  

作　　者：李海鹏 义景宇 肖褚文 姚德良 梁伟红 Eulogio Oset Hai-Peng Li;Jing-Yu Yi;Chu-Wen Xiao;De-Liang Yao;Wei-Hong Liang;Eulogio Oset(Department of Physics,Guangxi Normal University,Guilin 541004,China;School of Physics and Electronics,Hunan University,Changsha 410082,China;Guangxi Key Laboratory of Nuclear Physics and Technology,Guangxi Normal University,Guilin 541004,China;School of Physics,Central South University,Changsha 410083,China;Departamento de Física Teórica and IFIC,Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna,Aptdo.22085,46071 Valencia,Spain)

机构地区：[1]Department of Physics,Guangxi Normal University,Guilin 541004,China [2]School of Physics and Electronics,Hunan University,Changsha 410082,China [3]Guangxi Key Laboratory of Nuclear Physics and Technology,Guangxi Normal University,Guilin 541004,China [4]School of Physics,Central South University,Changsha 410083,China [5]Departamento de Física Teórica and IFIC,Centro Mixto Universidad de Valencia-CSIC Institutos de Investigación de Paterna,Aptdo.22085,46071 Valencia,Spain

出　　处：《Chinese Physics C》2024年第5期117-123,共7页中国物理C（英文版）

基　　金：supported by the National Natural Science Foundation of China(11975083,12365019,12275076);the Central Government Guidance Funds for Local Scientific and Technological Development,China(Guike ZY22096024);the Natural Science Foundation of Changsha(kq2208257);the Natural Science Foundation of Hunan province(2023JJ30647);the Natural Science Foundation of Guangxi province(2023JJA110076(CWX).This study is also partly supported by the Spanish Ministerio de Economia y Competitividad(MINECO)and European FEDER funds(FIS2017-84038-C2-1-P B,PID2020-112777GB-100);Generalitat Valenciana(PROMETEO/2020/023);funding from the European Union Horizon 2020 research and innovation programme under the program(H2020-INFRAIA-2018-1);grant agreement No.824093 of the STRONG-2020 project。

摘　　要：We study the correlation functions of the B0D+,B+D0 system,which develops a bound state of approximately 40MeV,using inputs consistent with the Tcc(3875)state.Then,we address the inverse problem starting from these correlation functions to determine the scattering observables related to the system,including the existence of the bound state and its molecular nature.The important output of the approach is the uncertainty with which these observables can be obtained,considering errors in the B0D+,B+D0 correlation functions typical of current values in correlation functions.We find that it is possible to obtain scattering lengths and effective ranges with relatively high precision and the existence of a bound state.Although the pole position is obtained with errors of the order of 50%of the binding energy,the molecular probability of the state is obtained with a very small error of the order of 6%.All these findings serve as motivation to perform such measurements in future runs of high energy hadron collisions.

关 键 词：meson-meson interaction correlation function BD system scattering observables 

分 类 号：O57[理学—粒子物理与原子核物理]