Equivalent local potential for the fish bone optical potential by inversion of its phase shifts

1985 ◽  
Vol 320 (2) ◽  
pp. 265-271 ◽  
Author(s):  
R. Lipperheide ◽  
H. Fiedeldey ◽  
E. W. Schmid ◽  
S. A. Sofianos
Keyword(s):  
Optical Potential ◽  
Phase Shifts ◽  
Fish Bone ◽  
Local Potential ◽  
Equivalent Local Potential

scholarly journals Equivalent Local Potentials for the coupled channel system and the optical potential

2020 ◽  
Vol 1 ◽  
pp. 134
Author(s):  
C. Daskaloyannis
Keyword(s):  
Optical Potential ◽  
Local Potential ◽  
Channel System ◽  
Explicit Formulae ◽  
Local Potentials ◽  
Equivalent Local Potential ◽  
Coupled Channel

The explicit formulae of the equivalent local potentials for a coupled channel problem are calculated. We prove that the equivalent local potential of the coupled channel system coincides with the equivalent local potential of the Feshbach optical potential.

Complex potentials and the inverse problem

2018 ◽  
Vol 6 (2) ◽  
pp. 11-15
Author(s):  
R.J. Lombard ◽  
R. Mezhoud ◽  
R. Yekken
Keyword(s):  
Inverse Problem ◽  
Complex Potential ◽  
Local Potential ◽  
Complex Potentials ◽  
Real Spectrum ◽  
Real Potential ◽  
Equivalent Local Potential

The occurrence of complex potentials with real eigenvalues has implications concerning the inverse problem, i.e. the determination of a potential from its spectrum. First, any complex potential with real eigenvalues has at least one equivalent local potential. Secondly, a real spectrum does not necessarily corresponds to a local real potential. A basic ambiguity arises from the possibility the spectrum to be generated by a complex potential. The purpose of this work is to discuss several aspects of this problem.

Higher-Order Corrections to the Optical Potential for Kaonic Atoms

1972 ◽  
Vol 50 (1) ◽  
pp. 57-60 ◽  
Author(s):  
J. M. Eisenberg ◽  
Reed Guy
Keyword(s):  
Correlation Function ◽  
Optical Potential ◽  
Hard Core ◽  
Higher Order ◽  
Second Order ◽  
Local Potential ◽  
Kaonic Atoms ◽  
Higher Order Corrections

Second-order corrections to the optical potential for kaonic atoms are evaluated in the form of an approximate, local potential which takes into account an isovector correlation function but omits Pauli and hard-core correlations. The corrections are found to be very small, a result not appreciably modified when rough estimates of the consequences of Pauli correlations are considered.

scholarly journals Phase Shift Analysis for Alpha-alpha Elastic Scattering using Phase Function Method for Gaussian Local Potential

2021 ◽  
Vol 9 (1) ◽  
pp. 1-5
Author(s):  
Anil Khachi ◽  
O.S.K.S. Sastri ◽  
Lalit Kumar ◽  
Aditi Sharma
Keyword(s):  
Monte Carlo ◽  
Phase Function ◽  
Bound States ◽  
Function Method ◽  
Phase Shifts ◽  
Local Potential ◽  
Shift Analysis ◽  
Scattering State ◽  
Phase Function Method ◽  
Experimental Binding Energy

The phase shifts for α- α scattering have been modeled using a two parameter Gaussian local potential. The time independent Schrodinger equation (TISE) has been solved iteratively using Monte-Carlo approach till the S and D bound states of the numerical solution match with the experimental binding energy data in a variational sense. The obtained potential with best fit parameters is taken as input for determining the phase-shifts for the S channel using the non-linear first order differential equation of the phase function method (PFM). It is numerically solved using 5th order Runge-Kutta (RK-5) technique. To determine the phase shifts for the ℓ=2 and 4 scattering state i.e. D and G-channel, the inversion potential parameters have been determined using variational Monte-Carlo (VMC) approach to minimize the realtive mean square error w.r.t. the experimental data.

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