Phenomenology of the nucleon-nucleon potential

Open Physics ◽  
2010 ◽  
Vol 8 (6) ◽  
Author(s):  
Gintautas Kamuntavičius ◽  
Marius Kaminskas
Keyword(s):  
Degrees Of Freedom ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Spin Orbit ◽  
Nucleon Potential ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Orthogonal Projectors

AbstractA local nucleon-nucleon potential expansion is developed in terms of orthogonal projectors. Considering the nucleon-nucleon (NN) potential as a completely phenomenological structure, the expansion provides an opportunity to obtain the NN scattering phase shifts that can be described by applying a restricted set of operators, dependent on angular and spin-isospin degrees of freedom of the interacting nucleons. The results obtained with an approximation for eight basic operators (central, spin-orbit and tensorial) are consistent with experience in the field, and provide directions for further modifications of realistic NN potentials.

scholarly journals A Phenomenological Nucleon-Nucleon Interaction

1986 ◽  
Vol 39 (4) ◽  
pp. 461 ◽  
Author(s):  
L Berge ◽  
L Petris
Keyword(s):  
Elastic Scattering ◽  
Momentum Space ◽  
Form Factors ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Nucleon Interaction ◽  
Dependent Form ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Nucleon Nucleon Interaction

A phenomenological NN interaction has been developed in momentum space to fit the elastic scattering phase shifts, the deuteron properties and to saturate nuclear matter. The special features of this interaction are gaussian momentum dependent form factors and the use of only three mesons to characterise the phase shifts.

scholarly journals Nucleon-Nucleon Potentials and Computation of Scattering Phase Shifts

2015 ◽  
Vol 5 (02) ◽  
pp. 73
Author(s):  
Jhasaketan Bhoi ◽  
Ujjwal Laha
Keyword(s):  
Wave Function ◽  
Quantum Mechanics ◽  
Ground State ◽  
Function Method ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Starting Point ◽  
Phase Function Method ◽  
Scattering Phase ◽  
Scattering Phase Shifts

<p>By judicious exploitation of supersymmetry formalism of quantum mechanics higher partial wave nucleon-nucleon potentials are generated from its ground state interactions. The nuclear Hulthen potential and the corresponding ground state wave function with the parameters of Arnold and MacKellar are used as the starting point of our calculation. We compute the scattering phase shifts for our constructed potentials through Phase Function Method to examine the merit of our approach to the problem.</p>

On non-uniqueness of nucleon-nucleon scattering phase shifts

1958 ◽  
Vol 6 ◽  
pp. 669-671 ◽  
Author(s):  
L.G. Zastavenko ◽  
R.M. Ryndin ◽  
Chou Kuang-Chad
Keyword(s):  
Nucleon Nucleon ◽  
Phase Shifts ◽  
Nucleon Scattering ◽  
Scattering Phase ◽  
Scattering Phase Shifts

scholarly journals Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry

2017 ◽  
Vol 2017 ◽  
pp. 1-11 ◽  
Author(s):  
K. J. Oyewumi ◽  
O. J. Oluwadare
Keyword(s):  
Approximation Scheme ◽  
Spin Symmetry ◽  
Phase Shifts ◽  
Energy Spectra ◽  
Relativistic Energy ◽  
Spin Orbit ◽  
Quantum Numbers ◽  
Scattering State ◽  
Scattering Phase ◽  
Scattering Phase Shifts

In this paper, we studied the approximate scattering state solutions of the Dirac equation with the hyperbolical potential with pseudospin and spin symmetries. By applying an improved Greene-Aldrich approximation scheme within the formalism of functional analytical method, we obtained the spin-orbit quantum numbers dependent scattering phase shifts for the spin and pseudospin symmetries. The normalization constants, lower and upper radial spinor for the two symmetries, and the relativistic energy spectra were presented. Our results reveal that both the symmetry constants (Cps and Cs) and the spin-orbit quantum number κ affect scattering phase shifts significantly.

STUDY OF NΔ AND ΔΔ RESONANCE STATES IN CONSTITUENT QUARK MODELS

2010 ◽  
Vol 25 (25) ◽  
pp. 2155-2165 ◽  
Author(s):  
HONGXIA HUANG ◽  
JIALUN PING ◽  
HOURONG PANG ◽  
FAN WANG
Keyword(s):  
Production Cross ◽  
Resonance State ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
S Wave ◽  
Systematic Calculation ◽  
Screening Model ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Quark Models

To look for nonstrange dibaryon resonances, a systematic calculation of nucleon–nucleon scattering phase shifts of two interacting baryon clusters of quarks with explicit coupling to NΔ and ΔΔ states is done. Two phenomenological nonrelativistic quark models giving similar low-energy NN properties are found to give significantly different dibaryon resonance structures. In the chiral quark model, the dibaryon system does not resonate in the NNS waves. In the quark delocalization color screening model, the S wave NN resonances appear with nucleon size b = 0.6. There is a IJ = 12NΔ resonance state in the [Formula: see text] scattering phase shifts at 2168 MeV in this model. Both quark models give an IJ = 03 ΔΔ resonance, which is a promising candidate for the explanation of the ABC structure at ~ 2.36 GeV in the production cross section of the reaction pn → dππ by the CELSIUS-WASA collaboration. None of the quark models used has any bound NΔP states that might generate odd-parity resonances.

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