The Alt–Grassberger–Sandhas equations for the five-body problem are solved for the case of the driving two-body potentials limited to s-waves. The separable pole expansion method is employed to convert the equations into the effective quasi-two-body form. Numerical results are presented for five identical bosons as well as for the system containing an \(\eta \)-meson and four nucleons. Accuracy of

In this work we study the Schrödinger equation in the presence of the Hartmann potential with a generalized uncertainty principle. We pertubatively obtain the matrix elements of the hamiltonian at first order in the parameter of deformation \(\beta \) and show that some degenerate states are removed. We give analytic expressions for the solutions of the diagonal matrix elements. Finally, we derive

By attaining an accuracy of 30 significant figures, in the present work we have calculated the expectation values of \(\langle {r^{ - 2}}\rangle \) of a few states for the confined hydrogen atom and the confined harmonic oscillator, as a function of the confinement radius \(R_{c}\). In comparison to other calculations reported in the literature, our results are found to be more accurate. This numerical

We present and analyzed bi-circular restricted four-body problem model that accounts for dissipative forces. Specifically, the model for Sun–Earth–Moon-Spacecraft system is formulated with inclusion of Stokes drag and Poynting–Robertson (P–R) drag. The Lagrange points are seen to be dependent on the strength and the kind of the dissipative force involved, comparatively, the P–R drag is found to exert