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>

Comparative study of the energy dependent and independent two-nucleon interactions — A supersymmetric approach

2014 ◽  
Vol 23 (08) ◽  
pp. 1450039 ◽  
Author(s):  
U. Laha ◽  
J. Bhoi
Keyword(s):  
Factorization Method ◽  
Nucleon Nucleon ◽  
Wave Functions ◽  
S Wave ◽  
Starting Point ◽  
Phase Function Method ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Energy Dependent ◽  
Supersymmetric Approach

By exploiting supersymmetry inspired factorization method nucleon–nucleon (n–n) potentials, both energy dependent and independent, in the partial waves 1P1 and 3P1 are generated by judicious use of appropriate ground state wave functions and interactions. The energy independent Hulthen and energy dependent equivalent local Yamaguchi potentials and their corresponding S-wave functions are used as the starting point of our calculation. The scattering phase shifts are computed for the constructed potentials through Phase Function Method (PFM) and compared with the standard results to examine the merit of our approach to the problem.

scholarly journals Neutron-Proton Scattering Phase Shifts in S-Channel using Phase Function Method for Various Two Term Potentials

2021 ◽  
Vol 9 (1) ◽  
pp. 87-93
Author(s):  
Anil Khachi ◽  
Lalit Kumar ◽  
O. S. K. S. Sastri
Keyword(s):  
Phase Function ◽  
Function Method ◽  
Analytical Techniques ◽  
Phase Shifts ◽  
Percentage Error ◽  
Phase Function Method ◽  
Scattering Phase ◽  
Scattering Phase Shifts ◽  
Experimental Values ◽  
Potential Parameters

The scattering phase shifts for n-p scattering have been modeled using various two term exponential type potentials such as Malfliet-Tjon, Manning-Rosen and Morse to study the phase shifts in the S-channels. As a first step, the model arameters for each of the potentials are determined by obtaining binding energy of the deuteron using matrix methods vis-a-vis Variational Monte-Carlo (VMC) technique to minimize the percentage error w.r.t. the experimental value. Then, the first order ODE as given by phase function method (PFM), is numerically solved using 5th order Runge-Kutta (RK-5) technique, by substituting the obtained potentials for calculating phase shifts for the bound 3S1 channel. Finally, the potential parameters are varied in least squares sense using VMC technique to obtain the scattering phase-shifts for each of the potentials in the 1S0 channel. The numerically obtained values are seen to be matching with those obtained using other analytical techniques and a comparative analysis with the experimental values up to 300 MeV is presented.

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.

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

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.

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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