Nuclear vibrations with a zero-range interaction and the multipole condition

1980 ◽  
Vol 22 (4) ◽  
pp. 1755-1764 ◽  
Author(s):  
Afsar Abbas ◽  
Larry Zamick
Keyword(s):  
Range Interaction ◽  
Zero Range

scholarly journals Berechnung der Oberfläche von Kernmaterie mit Hilfe spezieller Einteilchen-Wellenfunktionen

1962 ◽  
Vol 17 (8) ◽  
pp. 640-649
Author(s):  
Franz Lanzl
Keyword(s):  
Surface Energy ◽  
Plane Waves ◽  
Yukawa Interaction ◽  
Range Interaction ◽  
Zero Range ◽  
Volume Energy ◽  
Order Of Magnitude ◽  
The Right ◽  
Right Order ◽  
Surface Thickness

Using a YUKAWA interaction between the nucleons the volume energy per particle and the specific surface energy are calculated. These expressions assume a very simple form for a zero range interaction. The space parts of the applied orthogonal single particle wave functions are products of plane waves and a momentum independent function which brings about the decrease in density within the surface layer. First the volume energy per particle as a function of the density in the interior of nuclear matter is minimized. The interaction parameters are so selected that the values of the volume energy per particle and the density at the minimum agree with the experimental data. Then the surface energy as a function of the surface thickness is minimized. The values of the surface energy and the surface thickness in the minimum are compared with the empirical data. They are found to be of the right order of magnitude

scholarly journals Three-body bound states with zero-range interaction in the Bethe–Salpeter approach

2017 ◽  
Vol 770 ◽  
pp. 131-137 ◽  
Author(s):  
E. Ydrefors ◽  
J.H. Alvarenga Nogueira ◽  
V. Gigante ◽  
T. Frederico ◽  
V.A. Karmanov
Keyword(s):  
Bound States ◽  
Range Interaction ◽  
Zero Range ◽  
Three Body

scholarly journals FERMIONIC DUAL OF ONE-DIMENSIONAL BOSONIC PARTICLES WITH DERIVATIVE DELTA FUNCTION POTENTIAL

2010 ◽  
Vol 25 (09) ◽  
pp. 715-725
Author(s):  
B. BASU-MALLICK ◽  
TANAYA BHATTACHARYYA
Keyword(s):  
Center Of Mass ◽  
Delta Function ◽  
Bose Gas ◽  
Duality Relation ◽  
Coupling Constant ◽  
Range Interaction ◽  
Fermionic System ◽  
One Dimensional ◽  
Zero Range ◽  
Function Potential

We investigate the boson–fermion duality relation for the case of quantum integrable derivative δ-function Bose gas. In particular, we find a dual fermionic system with nonvanishing zero-range interaction for the simplest case of two bosonic particles with derivative δ-function interaction. The coupling constant of this dual fermionic system becomes inversely proportional to the product of the coupling constant of its bosonic counterpart and the center-of-mass momentum of the corresponding eigenfunction.

scholarly journals Bethe-Salpeter approach to three-body bound states with zero-range interaction

2019 ◽  
Vol 1291 ◽  
pp. 012013
Author(s):  
E Ydrefors ◽  
J H Alvarenga Nogueira ◽  
V A Karmanov ◽  
T Frederico
Keyword(s):  
Bound States ◽  
Range Interaction ◽  
Zero Range ◽  
Three Body

On quantum scattering by δ'(x)} and quasi δ'(x) distributions

2007 ◽  
Vol 85 (9) ◽  
pp. 967-979
Author(s):  
R K Dubey ◽  
V J Menon ◽  
M K Pandey ◽  
D N Tripathi
Keyword(s):  
Quantum Scattering ◽  
Length Scale ◽  
Range Interaction ◽  
One Dimensional ◽  
Transmission Amplitude ◽  
Reflection Amplitude ◽  
Scattering Wave ◽  
Zero Range ◽  
Ordinary Point ◽  
The One

The zero-range interaction U(x) occurring in the one-dimensional, time-independent Schrödinger equation is regarded as a smoothed distribution characterized by a tiny length scale b such that the origin becomes an ordinary point. A neighbourhood around the origin is scanned by defining inner demarcation points a±≡ ±b/N and outer demarcation points b±≡ ±Nb with N >> 1. Then a sequence of simple Lemmas permits (i) construction of a systematic procedure for simultaneously solving the scattering wave function ψ(0) at the origin, its derivative ψ'(0) there, the transmission amplitude B, as well as the reflection amplitude D; and (ii) unambiguous application to scattering by the previously known δ'(x) and newly proposed quasi δ'(x) potentials in the Cauchy representation of various distributions.PACS No.: 03.65.Nk

scholarly journals Studies of three-body bound states with zero-range interaction in Minkowski space

2020 ◽  
Author(s):  
Emanuel Ydrefors ◽  
Jorge H Alvarenga Nogueira ◽  
Vladimir Karmanov ◽  
Tobias Frederico
Keyword(s):  
Minkowski Space ◽  
Bound States ◽  
Range Interaction ◽  
Zero Range ◽  
Three Body
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