scholarly journals Phase-shifts determination for nucleon–nucleon scattering using velocity-dependent potentials

2016 ◽  
Vol 94 (2) ◽  
pp. 231-235
Author(s):  
M.I. Sayyed
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Yukawa Potential ◽  
Nucleon Nucleon ◽  
Phase Shifts ◽  
S Wave ◽  
Dependent Part ◽  
Dependent Potential ◽  
Scattering Phase ◽  
Square Well

The s-wave time-independent Schrödinger equation with an isotropic velocity-dependent potential is considered. We have used perturbation theory to calculate the scattering phase shifts when the energy is changed by a small amount ΔE from an arbitrary unperturbed value E0. The validity of our results was tested by comparing the perturbed phase shifts to those obtained exactly by solving the Schrödinger equation. We assumed the local potential to have the form of a finite square well and the velocity-dependent part of the potential to have the form of a Yukawa potential.

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.

Large-N Expansion for a Nucleon-Nucleon Potential

1989 ◽  
Vol 44 (11) ◽  
pp. 1137-1138 ◽  
Author(s):  
Fevzi Büyükkilic ◽  
Dogan Demirhan
Keyword(s):  
Schrödinger Equation ◽  
Excited States ◽  
Schrodinger Equation ◽  
Yukawa Potential ◽  
Nucleon Nucleon ◽  
Nucleon System ◽  
Nucleon Potential ◽  
Energy Eigenvalues ◽  
Large N ◽  
Large N Expansion

Abstract The Schrödinger equation has been solved by \/N expan­ sion for a two nucleon system which interacts by an attrac­ tive Yukawa potential. For the ground and first excited states, energy eigenvalues have been obtained.

Estimating the error in variational scattering calculations

1978 ◽  
Vol 56 (10) ◽  
pp. 1358-1364 ◽  
Author(s):  
J. W. Darewych ◽  
R. Pooran
Keyword(s):  
Wave Scattering ◽  
Exponential Potential ◽  
S Wave ◽  
Order Error ◽  
Absolute Value ◽  
First Order ◽  
Scattering Phase ◽  
Square Well ◽  
Scattering Phase Shifts ◽  
Made In

We derive bounds to the absolute value of the error that is made in variational estimates of scattering phase shifts. These bounds, like the variational estimates, are second order in 'small' quantities and are, in this respect, an improvement on similar but first-order error bounds derived previously by Bardsley, Gerjuoy, and Sukumar. The s-wave scattering by a square well potential, in the Born approximation, and by an exponential potential, using a many parameter trial function, are used to illustrate the results.

scholarly journals USING MIXED DATA IN THE INVERSE SCATTERING PROBLEM

2008 ◽  
Vol 22 (23) ◽  
pp. 2181-2189 ◽  
Author(s):  
M. LASSAUT ◽  
S. Y. LARSEN ◽  
S. A. SOFIANOS ◽  
J. C. WALLET
Keyword(s):  
Schrödinger Equation ◽  
Inverse Scattering ◽  
Regular Solution ◽  
Schrodinger Equation ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Phase Shifts ◽  
Mixed Data ◽  
Monotonic Functions ◽  
Unique Potential

Consider the fixed-ℓ inverse scattering problem. We show that the zeros of the regular solution of the Schrödinger equation, rn(E), which are monotonic functions of the energy, determine a unique potential when the domain of the energy is such that the rn(E) range from zero to infinity. This suggests that the use of the mixed data of phase-shifts {δ(ℓ0, k), k ≥ k0} ∪ {δ(ℓ, k0), ℓ ≥ ℓ0}, for which the zeros of the regular solution are monotonic in both domains, and range from zero to infinity, offers the possibility of determining the potential in a unique way.

PRECISE MEASUREMENTS OF S-WAVE SCATTERING PHASE SHIFTS WITH A JUGGLING ATOMIC CLOCK

2009 ◽  
Author(s):  
STEVEN GENSEMER ◽  
RUSSELL HART ◽  
ROSS MARTIN ◽  
XINYE XU ◽  
RONALD LEGERE ◽  
...  
Keyword(s):  
Wave Scattering ◽  
Atomic Clock ◽  
Phase Shifts ◽  
S Wave ◽  
Scattering Phase ◽  
Scattering Phase Shifts
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