A non-relativistic model for the ${[cc][\bar{c}\bar{c}]}$ tetraquark

Get Citation
V. R. Debastiani;F S. Navarra. A non-relativistic model for the ${[cc][\bar{c}\bar{c}]}$ tetraquark[J]. Chinese Physics C.
V. R. Debastiani;F S. Navarra. A non-relativistic model for the ${[cc][\bar{c}\bar{c}]}$ tetraquark[J]. Chinese Physics C. shu
Milestone
Received: 2018-06-27
Article Metric

Article Views(48)
PDF Downloads(14)
Cited by(0)
Policy on re-use
To reuse of Open Access content published by CPC, for content published under the terms of the Creative Commons Attribution 3.0 license (“CC CY”), the users don’t need to request permission to copy, distribute and display the final published version of the article and to create derivative works, subject to appropriate attribution.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

A non-relativistic model for the ${[cc][\bar{c}\bar{c}]}$ tetraquark

Abstract: We use a non-relativistic model to study the  spectroscopy of a tetraquark composed of $[cc][\bar{c}\bar{c}]$ in a diquark-antidiquark configuration. By numerically solving the Schr\"{o}dinger equation with a Cornell-inspired potential, we separate the four-body problem into three two-body problems. Spin-dependent terms (spin-spin, spin-orbit and tensor) are used to describe the splitting structure of the $c\bar{c}$ spectrum and are also extended to the interaction between diquarks. Recent experimental data on charmonium states are used to fix the parameters of the model and a satisfactory description of the spectrum is obtained. We find that the spin-dependent interaction is sizable in the diquark-antidiquark system, despite  the heavy diquark mass, and also that the diquark has a finite size if treated in the same way as the $c\bar{c}$ systems. We find that the lowest $S$-wave $T_{4c}$ tetraquarks might be below their thresholds of spontaneous dissociation into low-lying charmonium pairs, while orbital and radial excitations would be mostly above the corresponding charmonium pair thresholds. Finally,  we repeat the  alculations without the confining part of the potential and obtain bound diquarks and bound tetraquarks. This might be relevant to the study of  exotic charmonium in the quark-gluon plasma. The $T4c$ states could be investigated in the forthcoming experiments at the LHC and Belle II.

    HTML

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return