Nucleon-nucleus inelastic scattering by Manning-Rosen distorted nonlocal potential

2021 ◽  
Author(s):  
P. Sahoo ◽  
U. Laha
Keyword(s):  
Electromagnetic Interaction ◽  
Relativistic Quantum ◽  
Nuclear Interaction ◽  
Charged Hadron ◽  
Reduced Form ◽  
Quantum Scattering ◽  
Additive Interaction ◽  
T Matrix ◽  
Rosen Potential ◽  
Analytical Expressions

Within the framework of non-relativistic quantum scattering theory we treat the charged hadron scattering by replacing the nuclear interaction by a separable nonlocal one and the electromagnetic part by the Manning-Rosen potential. The off-energy-shell scattering is studied by this additive interaction by including the effect of electromagnetic interaction rigorously. The exact analytical expressions for the off-shell solutions and half-shell T-matrix are obtained in maximal reduced form. The half-shell T-matrix for the proton-oxygen system is computed and the resultant phase shifts are found in order.

scholarly journals Relativistic quantum scattering on a cone

2001 ◽  
Vol 18 (8) ◽  
pp. 1555-1566 ◽  
Author(s):  
J Spinelly ◽  
E R Bezerra de Mello ◽  
V B Bezerra
Keyword(s):  
Relativistic Quantum ◽  
Quantum Scattering

Analytical solution of the Shredinger equation for the linear combination of the Manning-Rosen and the class of Yukawa potential

2021 ◽  
pp. 157-169
Author(s):  
G.A. Bayramova ◽  
Keyword(s):  
Analytical Solution ◽  
Bound States ◽  
Hypergeometric Functions ◽  
Yukawa Potential ◽  
Energy Levels ◽  
Energy Eigenvalue ◽  
Radial Wave ◽  
Rosen Potential ◽  
Analytical Expressions ◽  
Potential Parameters

In the present work, an analytical solution for bound states of the modified Schrödinger equation is found for the new supposed combined Manning-Rosen potential plus the Yukawa class. To overcome the difficulties arising in the case l ≠ 0 in the centrifugal part of the Manning-Rosen potential plus the Yukawa class for bound states, we applied the developed approximation. Analytical expressions for the energy eigenvalue and the corresponding radial wave functions for an arbitrary value l ≠ 0 of the orbital quantum number are obtained. And also obtained eigenfunctions expressed in terms of hypergeometric functions. It is shown that energy levels and eigenfunctions are very sensitive to the choice of potential parameters.

The Atom: science

2020 ◽  
pp. 35-51
Author(s):  
Robert T. Hanlon
Keyword(s):  
Hard Sphere ◽  
Electromagnetic Interaction ◽  
Nuclear Interaction

The atom is comprised of a nucleus, which contains protons, neutrons, and the strong nuclear interaction holding them together, and orbiting electrons, which interact with the nucleus through the electromagnetic interaction. The quantized orbit of the electrons give the atom volume, while Pauli exclusion prevents atom overlapping with other atoms. Both phenomena result in a atom that can be modelled as a hard sphere.

scholarly journals Exact quasi-relativistic wavefunctions of Hydrogen-like atoms

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Luis Grave de Peralta
Keyword(s):  
Bound States ◽  
Relativistic Quantum ◽  
Quantum Mechanical ◽  
Solid State Physics ◽  
Mechanical Wave ◽  
Atomic Orbitals ◽  
Exact Analytical Expression ◽  
Quantum Particles ◽  
Software Packages ◽  
Analytical Expressions

Abstract Exact solutions of a novel quasi-relativistic quantum mechanical wave equation are found for Hydrogen-like atoms. This includes both, an exact analytical expression for the energies of the bound states, and exact analytical expressions for the wavefunctions, which successfully describe quantum particles with mass and spin-0 up to energies comparable to the energy associated to the mass of the particle. These quasi-relativistic atomic orbitals may be used for improving ab-initio software packages dedicated to numerical simulations in physical-chemistry and atomic and solid-state physics.

Smooth derivations commuting with Lie group actions

1986 ◽  
Vol 99 (2) ◽  
pp. 307-314
Author(s):  
F. M. Goodman ◽  
P. E. T. Jorgensen ◽  
C. Peligrad
Keyword(s):  
Hilbert Space ◽  
Unitary Representation ◽  
Lie Group ◽  
Scattering Theory ◽  
Relativistic Quantum ◽  
Quantum Scattering ◽  
Quantum Scattering Theory ◽  
Lie Group Actions ◽  
Physical Setting ◽  
Symmetric Operators

N. S. Poulsen, motivated in part by questions from relativistic quantum scattering theory, studied symmetric operators S in Hilbert space commuting with a unitary representation U of a Lie group G. (The group of interest in the physical setting is the Poincaré group.) He proved ([17], corollary 2·2) that if S is defined on the space of C∞-vectors for U (i.e. D(S) ⊇ ℋ∞(U)), then S is essentially self-adjoint.

Off-shell Solutions and Half-shell T-matrix for the Manning–Rosen Potential

2021 ◽  
Vol 62 (2) ◽  
Author(s):  
B. Khirali ◽  
U. Laha ◽  
P. Sahoo
Keyword(s):  
T Matrix ◽  
Rosen Potential

Relativistic quantum scattering yielded by Lorentz symmetry breaking effects

2017 ◽  
Vol 32 (23n24) ◽  
pp. 1750140 ◽  
Author(s):  
H. F. Mota ◽  
K. Bakke ◽  
H. Belich
Keyword(s):  
Scattering Amplitude ◽  
Quantum Particle ◽  
Relativistic Quantum ◽  
Lorentz Symmetry ◽  
Quantum Scattering ◽  
Optical Theorem ◽  
Symmetry Violation ◽  
Total Scattering Cross Section ◽  
Scalar Quantum ◽  
Scattering Phase

We investigate the scattering of a relativistic scalar quantum particle induced by a scattering-like potential that arises from the effects of the violation of the Lorentz symmetry. We then obtain the scattering phase shift caused by the influence of such a potential and use it to calculate the exact expressions for the scattering amplitude as well as for the total scattering cross-section through the optical theorem. In addition, we estimate an upper bound for the Lorentz symmetry violation parameters.

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