Shape-invariance approach and Hamiltonian hierarchy method on the Woods–Saxon potential for ℓ ≠ 0 states

The static properties and form factors of the deuteron using the different forms of the Wood–Saxon potential

“…The Wood-Saxon potential is a reasonable potential for nuclear shell model and hence attracts lots of attention in nuclear physics. The spherical Wood-Saxon potential that was used as a major part of nuclear shell model, has received a lot of attention in nuclear mean field model, and plays an essential role in microscopic physics [16]. The standard Wood-Saxon potential is given by [17]:…”

“…Now, we want to solve the Eq. (15) for the l 6 ¼ 0 cases using NU method and Pekeris approximation to the centrifugal for l states [15][16][17][18]. The approximation is based on the expansion of the centrifugal barrier in the series of exponentials depending on the internuclear distance, keeping terms up to second order.…”

Closed Analytical Solutions of the D-Dimensional Schrödinger Equation with Deformed Woods–Saxon Potential Plus Double Ring-Shaped Potential

“…Recently, the asymptotic iteration method (AIM) [15][16][17] an elegant, efficient technique to solve second-order homogeneous differential equations, has been the subject of extensive investigation in recent years, particularly when dealing withe non central potential. The Schrödinger equation has been investigated for several potentials as the Woods-Saxon potential [18][19][20], harmonic oscillator potential [21], Hulthén potential [22][23][24][25], Kratzer potential [26], generalized q-deformed Morse potential [27], modifed Woods-Saxon potential [28], Makarov potential [29], deformed Woods-Saxon Potential [30], Pseudoharmonic potential [31,32], Yukawa potential [33,34] and Eckart potential [35,36]. Very recently, the Schrödinger equation in generalized D dimensions for different potentials is getting more attention with the aim of generalizing the solutions to multidimensional space for many potentials [37][38][39][40][41][42][43][44][45][46].…”

Bound states of the Dirac equation for the generalized Woods–Saxon potential in pseudospin and spin symmetry limits

“…27-34 Furthermore, the analytical or approximate analytical solution of the Woods-Saxon potential or its various modification have also been examined by using several methods such as super-symmetry, Nikiforov-Uvarov (NU) method, asymptotic iteration method (AIM) and so on. [35][36][37][38][39][40][41] It is known that the PSS and SS concepts are related to the fermion (nucleon) and anti-fermion (anti-nucleon) spectra, respectively. [12][13][14][15][16] In this paper, our motivation is to investigate an approximate analytical solution of the generalized Woods-Saxon potential for anti-proton in PSS limit and proton in SS limit in terms of arbitrary κ states.…”