Quantum information entropy of heavy mesons in the presence of a point-like defect

Abstract

Using Schrödinger's formalism, we investigate the quantum eigenstates of the heavy mesons trapped by a point-like defect and by Cornell's potential. One implements this defect to the model considering a spherical metric profile coupled to it. Furthermore, the Nikiforov-Uvarov method is applied to theory to study the quantum eigenstates of the heavy mesons. To calculate the quantum information entropy (QIE), one considers the wave functions that describe the charmonium and bottomonium states. To explore the QIE, we use the well-known Shannon's entropy formulated at the position and reciprocal space. The analysis of the QIE gives us relevant information about how the quantum information change with the variation of the point-like defect. Consequently, considering the Bialynicki-Birula and Mycielski (BBM) relation, we show how this defect influences the quarkonium position and momentum uncertainty measures.

15 pages, 2 figures, 1 table

References in corpus (4)

• Relativistic Motions of Spin-Zero Quantum Oscillator Field in a Global Monopole Space-Time with External Potential and AB-effect
• AdS/QCD duality and the quarkonia holographic information entropy
• Quantum information of the Aharanov-Bohm ring with Yukawa interaction in the presence of disclination
• A search on the Nikiforov-Uvarov formalism

Cited by in corpus (3)

• Quantum information entropy of a particle trapped by the Aharonov-Bohm-type effect
• On the singular position-dependent mass
• Quantum Information Measures in Quartic and Symmetric Potentials using perturbative approach