A. Atangana Likéné, D. Nga Ongodo, J. M. Ema’a Ema’a, P. Ele Abiama, G. H. Ben-Bolie
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Effects of Gravitational Field of a Topological Defect on Heavy Quarkonia Spectra in a Non-relativistic Quark Model
In this paper, we analyze the properties of heavy quarkonia in a curved space-time with conical geometry induced by a topological defect, namely a cosmic string. The particles moving within the latter space are under the influence of an extended version of the Cornell potential. Assuming that the cosmic string space time is torsion free, the full spectrum of each particle is obtained by solving the Schrödinger equation using the extended Nikiforov–Uvarov method. It is observed that the gravitational field of the topological defect acts on the energy levels in a manner similar to the Zeeman effect due to the magnetic field. However, in the limit of the flat Minkowski space-time \((\alpha \rightarrow 1)\), we recover the classical mass spectra of heavy quarkonia for the extended Cornell potential. The numerical outcomes of this study are overall found in good agreement with experimental data and other relevant theoretical works. Thus, to illustrate the effect of the topological defect graphically, mass spectra, wave functions and radial probability densities are plotted for \(P-\)states at different values of \(\alpha \). It is found that, at large values of the quantum number n, the mass spectra of heavy quarkonia exhibit saturation effect governed by the topological parameter.
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).