{"title":"Spectroscopy of \\(cc{\\bar{c}}{\\bar{c}}\\) and \\(ss{\\bar{c}}{\\bar{c}}\\) Tetraquarks within the Framework of Regge Phenomenology","authors":"Vandan Patel, Juhi Oudichhya, Ajay Kumar Rai","doi":"10.1007/s00601-025-02011-w","DOIUrl":null,"url":null,"abstract":"<div><p>In this work, we investigate the mass spectra of all-charm (<span>\\(cc{\\bar{c}}{\\bar{c}}\\)</span>) and doubly strange- doubly charm (<span>\\(ss{\\bar{c}}{\\bar{c}}\\)</span>) tetraquark states using the framework of Regge phenomenology. Employing a quasi-linear Regge trajectory ansatz, we derive linear and quadratic mass inequalities for hadrons, which provide constraints on the masses of tetraquark states. We estimate the range of ground state masses of <span>\\(cc{\\bar{c}}{\\bar{c}}\\)</span> tetraquarks and determine the Regge slope parameters by fitting the corresponding <span>\\((J, M^2)\\)</span> trajectories. These parameters are then utilized to predict the mass spectra of orbital excited states of both <span>\\(cc{\\bar{c}}{\\bar{c}}\\)</span> and <span>\\(ss{\\bar{c}}{\\bar{c}}\\)</span> systems in the <span>\\((J, M^2)\\)</span> plane. Furthermore, we extend our analysis to radial excitations by exploring Regge trajectories in the <span>\\((n, M^2)\\)</span> plane. The obtained mass predictions are compared with existing theoretical results from various models. Additionally, we discuss the possible identification of the experimentally observed <span>\\(\\psi (4660)\\)</span> and <span>\\(\\chi _{c0}(4700)\\)</span> resonances as tetraquark candidates. The results presented in this study offer useful benchmarks for future experimental investigations and may assist in the spin-parity assignment of exotic hadronic states. Our findings contribute to a deeper understanding of multiquark dynamics and the spectroscopy of exotic hadrons within the framework of Quantum Chromodynamics.</p></div>","PeriodicalId":556,"journal":{"name":"Few-Body Systems","volume":"66 4","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Few-Body Systems","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s00601-025-02011-w","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we investigate the mass spectra of all-charm (\(cc{\bar{c}}{\bar{c}}\)) and doubly strange- doubly charm (\(ss{\bar{c}}{\bar{c}}\)) tetraquark states using the framework of Regge phenomenology. Employing a quasi-linear Regge trajectory ansatz, we derive linear and quadratic mass inequalities for hadrons, which provide constraints on the masses of tetraquark states. We estimate the range of ground state masses of \(cc{\bar{c}}{\bar{c}}\) tetraquarks and determine the Regge slope parameters by fitting the corresponding \((J, M^2)\) trajectories. These parameters are then utilized to predict the mass spectra of orbital excited states of both \(cc{\bar{c}}{\bar{c}}\) and \(ss{\bar{c}}{\bar{c}}\) systems in the \((J, M^2)\) plane. Furthermore, we extend our analysis to radial excitations by exploring Regge trajectories in the \((n, M^2)\) plane. The obtained mass predictions are compared with existing theoretical results from various models. Additionally, we discuss the possible identification of the experimentally observed \(\psi (4660)\) and \(\chi _{c0}(4700)\) resonances as tetraquark candidates. The results presented in this study offer useful benchmarks for future experimental investigations and may assist in the spin-parity assignment of exotic hadronic states. Our findings contribute to a deeper understanding of multiquark dynamics and the spectroscopy of exotic hadrons within the framework of Quantum Chromodynamics.
期刊介绍:
The journal Few-Body Systems presents original research work – experimental, theoretical and computational – investigating the behavior of any classical or quantum system consisting of a small number of well-defined constituent structures. The focus is on the research methods, properties, and results characteristic of few-body systems. Examples of few-body systems range from few-quark states, light nuclear and hadronic systems; few-electron atomic systems and small molecules; and specific systems in condensed matter and surface physics (such as quantum dots and highly correlated trapped systems), up to and including large-scale celestial structures.
Systems for which an equivalent one-body description is available or can be designed, and large systems for which specific many-body methods are needed are outside the scope of the journal.
The journal is devoted to the publication of all aspects of few-body systems research and applications. While concentrating on few-body systems well-suited to rigorous solutions, the journal also encourages interdisciplinary contributions that foster common approaches and insights, introduce and benchmark the use of novel tools (e.g. machine learning) and develop relevant applications (e.g. few-body aspects in quantum technologies).