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Latest Results for Few-Body Systems

08 February 2025

• Impacts of Compression on the Ground and Low-Lying Excited Doublet States of Plasma-Embedded Lithium Atom

  Abstract

  The variational Monte Carlo method is employed to conduct a comprehensive investigation of the compressed ground and excited states of plasma-embedded lithium atom within impenetrable spherical boxes of varying radii. The study focuses on the low-lying excited doublet states 1 \(s^{{2}}\) ns, 1 \(s^{{2}}n\) p, and 1 \(s^{{2}}n\) d, utilizing plasma potentials such as the screened Coulomb (SCP), exponential cosine screened Coulomb (ECSCP), and Hulthén potentials. Energy eigenvalues are determined using appropriate trial wave functions, which account for electron–electron repulsion and spin parts to adhere to the Pauli Exclusion Principle. Moreover, two factors related to the wave function of the compressed system and ECSCP model are considered. The results reveal an intriguing relative ordering for the lithium atom using the three plasma models, with many of the findings being significant contributions yet to be explored.

• The Effects of Non-linearity on the Solutions of Manning-Rosen and Hulthén Three-Dimensional Potentials Using Quantum Supersymmetry and N–U Methods: Application to CO $$^\mathbf{+}$$ , BO and CN Diatomic Molecules

  Abstract

  The three-dimensional Schrödinger equation, where a non-linearity is caused by the introduction of an energy-dependent potential, is solved in the case of Energy-Dependent Manning-Rosen Potential (EDMRP) by means of extended quantum supersymmetry (EQS) combined with shape invariance, and Nikiforov–Uvarov (N–U) methods, using in both cases the Pekeris approximation for the centrifugal term. On the one hand, after determining the potential parameters according to experimental data, EQS and N–U results are compared to the numerical ones to show the effectiveness of our calculations. On the other hand, the effects of the non-linearity introduced via energy-dependent potentials in the Schrödinger equation are shown through a comparison made between energy-dependent and position-only-dependent cases of the Manning-Rosen potential. We considered some diatomic molecules CO \(^{+}\) , BO, and CN with the experimental values of their potential parameters. Our results allowed us to consider, as a particular case, the three-dimensional energy-dependent Hulthén potential.

• Masses and Magnetic Moments of Singly Heavy Pentaquarks using the Gursey-Radicati Mass Formula, Effective Mass, and Screened Charge Scheme

  Abstract

  Motivated by the recent discovery of single heavy tetraquark structures, \(T_{c\bar{s}0}^a (2900)^{++}\) and \(T_{c\bar{s}0}^a(2900)^0\) by the LHCb collaboration, masses and magnetic moments of singly heavy pentaquark states are estimated in this work. To classify the singly heavy pentaquark structures, we employ the special unitary representation. By using the SU(3) flavor representation, singly heavy pentaquark states are classified into the allowed flavor multiplets. Also, by using the extension of the Gursey-Radicati mass formula and the effective mass scheme, masses of singly heavy pentaquark states are estimated. Further, magnetic moments of singly heavy pentaquarks have been calculated using the effective mass and the screened charge schemes. A thorough comparison of our results shows reasonable agreement with the available theoretical data and may be helpful for future experimental studies.