Likely existence of bound states and the Efimov effect in the triple-$J/\psi$ system

التفاصيل البيبلوغرافية
العنوان: Likely existence of bound states and the Efimov effect in the triple-$J/\psi$ system
المؤلفون: Pan, Ya-Wen, Liu, Zhi-Wei, Geng, Li-Sheng, Hosaka, Atsushi, Liu, Xiang
سنة النشر: 2024
المجموعة: High Energy Physics - Experiment
High Energy Physics - Phenomenology
Nuclear Experiment
Nuclear Theory
مصطلحات موضوعية: High Energy Physics - Phenomenology, High Energy Physics - Experiment, Nuclear Experiment, Nuclear Theory
الوصف: The ground-breaking discovery of the first fully charmed tetraquark state $X(6900)$ in the $J/\psi J/\psi$ invariant mass distribution by the LHCb collaboration has inspired intensive theoretical studies. Various interpretations, such as molecular states, compact tetraquark states, and coupled-channel effects, have been proposed for these states. Of particular interest is the ongoing search for the triple-$J/\psi$ state--a fully-charmed hexaquark state. To deepen our understanding of the triple-$J/\psi$ state and to guide future experimental searches, we study the triple-$J/\psi$ system in this work employing the Gaussian expansion method and the $J/\psi J/\psi$ potential parameterized to yield a shallow bound state, as suggested in several theoretical works. Our results support a triple-$J/\psi$ bound state, even in cases where the attractive interaction between the two $J/\psi$ mesons is very weak. Moreover, our analysis implies the Efimov effect in the triple-$J/\psi$ system. In addition, we extend our investigation to the triple-$\Upsilon (1S)$ system and obtain results similar to those for the triple-$J/\psi$ system.
Comment: 8 pages, 3 figures, 4 tables; comments welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.20017
رقم الأكسشن: edsarx.2407.20017
قاعدة البيانات: arXiv