A non-relativistic model for the [cc][(c)over-bar(c)over-bar] tetraquark

Autor(es)

Debastiani, V. R. ^{[1, 2, 3]} ; Navarra, F. S. ^{[1, 4]}

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis, CP 66318, BR-05389970 Sao Paulo, SP - Brazil

^[2] Univ Valencia, CSIC, Inst Invest Paterna, IFIC, Ctr Mixto, Aptdo 22085, Valencia 46071 - Spain

^[3] Univ Valencia, CSIC, Inst Invest Paterna, Dept Fis Teor, Aptdo 22085, Valencia 46071 - Spain

^[4] Univ Paris Saclay, Inst Phys Theor, CEA, CNRS, F-91191 Gif Sur Yvette - France

• Tipo de documento: Artigo Científico
• Fonte: CHINESE PHYSICS C; v. 43, n. 1 JAN 2019.
• Citações Web of Science: 7

Resumo

We use a non-relativistic model to study the spectroscopy of a tetraquark composed of {[}cc]{[}(c) over bar(c) over bar] in a diquark-antidiquark configuration. By numerically solving the Schrodinger 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 (c) over bar 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 (c) over bar 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 calculations 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. (AU)

• Processo FAPESP: 12/50984-4 - Física de hádrons
• Beneficiário: Fernando Silveira Navarra
• Modalidade de apoio: Auxílio à Pesquisa - Temático