Complete set of first-order polarization observables in nucleon-deuteron elastic scattering near 20 MeV deuteron energy

1983 ◽  
Vol 27 (5) ◽  
pp. 1932-1938 ◽  
Author(s):  
M. Sawada ◽  
S. Seki ◽  
K. Furuno ◽  
Y. Tagishi ◽  
Y. Nagashima ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Deuteron Energy ◽  
First Order ◽  
Complete Set ◽  
Polarization Observables

Scattering of elastic waves near an explosion

1993 ◽  
Vol 83 (4) ◽  
pp. 1277-1293
Author(s):  
Donald Leavy
Keyword(s):  
Displacement Field ◽  
Elastic Waves ◽  
Near Field ◽  
Static Solution ◽  
Simple Relation ◽  
Perturbation Solution ◽  
First Order ◽  
Scattering Of Elastic Waves ◽  
Harmonic Decomposition ◽  
Complete Set

Abstract We use the method of small perturbation to study the scattered waves generated by an arbitrary 3D inhomogeneous medium around a spherically symmetric compressional source. We consider two models of the medium inside the source: a homogeneous solid and a fluid. The results from these two models differ only when scattering occurs within a few source's radii from the explosion. We find that there is a simple relation between the structure of the first order scattered waves and the structure of the medium, namely that a given harmonic of the medium parameters excites only the same harmonic of the two spheroidal potentials. When scattering occurs within a wavelength from the source, we find that the quadrantal terms in the spherical harmonic decomposition of the field have the lowest frequency dependence. They depend on frequency only through the spectrum of the source. Thus, in the far field, the dominant scattered waves generated near an explosion are similar to the primary waves generated by an earthquake. However, when the displacement field is observed in the near field of the explosion, the static solution reveals that a complete set of harmonics may be required to properly account for the displacement field. We compare the perturbation solution with the exact solution of the scattering by a sphere located within a wavelength from the source. This suggests that the perturbation solution has a fairly wide domain of practical applicability. We attempt to apply these results to the Love wave generated near the Boxcar nuclear explosion.

The first-order optical potential evaluation for the elastic scattering of neutron on the bound system using the impulse approximation method

2019 ◽  
Vol 28 (10) ◽  
pp. 1950091 ◽  
Author(s):  
M. Abusini
Keyword(s):  
Experimental Data ◽  
Elastic Scattering ◽  
Neutron Energy ◽  
Optical Potential ◽  
Order Term ◽  
Scattering Problem ◽  
Impulse Approximation ◽  
Incident Neutron ◽  
First Order ◽  
The Spectator

The method of impulse approximation is used to check the validity of the first-order optical potential for the elastic scattering problem of the neutron on the bound system, namely, [Formula: see text] and [Formula: see text]at incident neutron energies of 155 and 225[Formula: see text]MeV. The optical potential is derived as the first-order term within the spectator expansion of a nonrelativistic multiple scattering terms using the Lippmann–Schwinger equation. The Modern realistic two-body potential ArgonneV18 in the momentum space was used as input in the Lippmann–Schwinger equation. The obtained results for the elastic differential cross-sections are in a good agreement with the experimental data taken from EXFOR Database for all studied targets at neutron energy above 200[Formula: see text]MeV. As the neutron energy decreases down to approximately 155[Formula: see text]MeV, the discrepancies with experimental data appear, which is in accordance with the impulse approximation formalism.

Complete set of deuteron analyzing powers for dp elastic scattering at intermediate energies

2014 ◽  
Vol 45 (1) ◽  
pp. 190-192
Author(s):  
K. Sekiguchi ◽  
H. Okamura ◽  
Y. Wada ◽  
J. Miyazaki ◽  
T. Taguchi ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Analyzing Powers ◽  
Intermediate Energies ◽  
Complete Set

Complete set of deuteron analyzing powers in deuteron-proton elastic scattering: Measurement and realistic potential predictions

1993 ◽  
Vol 15 (2) ◽  
pp. 67-85 ◽  
Author(s):  
H. Witała ◽  
W. Glöckle ◽  
L. E. Antonuk ◽  
J. Arvieux ◽  
D. Bachelier ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Realistic Potential ◽  
Analyzing Powers ◽  
Proton Elastic Scattering ◽  
Complete Set ◽  
Scattering Measurement

A system of logic for partial functions under existence-dependent kleene equality

1988 ◽  
Vol 53 (3) ◽  
pp. 834-839 ◽  
Author(s):  
H. Andréka ◽  
W. Craig ◽  
I. Németi
Keyword(s):  
Practical Interest ◽  
Order Logic ◽  
First Order Logic ◽  
Basic Relation ◽  
Equational Logic ◽  
Partial Functions ◽  
First Order ◽  
Complete Set ◽  
The Subject ◽  
Relationship Of

Ordinary equational logic is a connective-free fragment of first-order logic which is concerned with total functions under the relation of ordinary equality. In [AN] (see also [AN1]) and in [Cr] it has been extended in two equivalent ways into a near-equational system of logic for partial functions. The extension given in [Cr] deals with partial functions under two relationships: a relationship of existence-dependent existence and one of existence-dependent Kleene equality. For the language that involves both relationships a set of rules was given that is complete. Those rules in the set that involve only existence-dependent existence turned out to be complete for the sublanguage that involves this relationship only. In the present paper we give a set of rules that is complete for the other sublanguage, namely the language of partial functions under existence-dependent Kleene equality.This language lacks a certain, often needed, power of expressing existence and fails, in particular, to be an extension of the language that underlies ordinary equational logic. That it possesses a fairly simple complete set of rules is therefore perhaps more of theoretical than of practical interest. The present paper is thus intended to serve as a supplement to [Cr] and, less directly, to [AN]. The subject is further rounded out, and some contrast is provided, by [Rob]. The systems of logic treated there are based on the weaker language in which partial functions are considered under the more basic relation of Kleene equality.

First-order exchange approximation

1963 ◽  
Vol 276 (1366) ◽  
pp. 346-353 ◽  
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Born Approximation ◽  
Scattering Amplitude ◽  
Wave Functions ◽  
Hydrogen Atoms ◽  
Final State ◽  
First Order ◽  
Exchange Approximation ◽  
Exchange Scattering

It is shown that when the Born approximation is applied to rearrangement collisions in the customary way, terms of the first order in the interaction energy between the colliding particles are omitted from the exchange scattering amplitude. If these terms are retained the arbitrariness which arises from the lack of orthogonality between the initial and final state wave functions is removed. The first-order exchange approximation derived in the present paper is employed to calculate the cross-sections for the 1 s -2 s and 1 s -2 p excitations of hydrogen atoms by electron impact and the elastic scattering of electrons by hydrogen atoms.

scholarly journals Complete set of deuteron analyzing powers from d⃗p elastic scattering at 190 MeV/nucleon

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
K. Sekiguchi ◽  
H. Witała ◽  
T. Akieda ◽  
D. Eto ◽  
H. Kon ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Analyzing Powers ◽  
Complete Set

scholarly journals Generic Noninteger Order Controller for Time-Delay Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Sami Hafsi ◽  
Sadem Ghrab ◽  
Kaouther Laabidi
Keyword(s):  
Time Delay ◽  
Stability Region ◽  
Delay Systems ◽  
Pid Controllers ◽  
Time Delay Systems ◽  
First Order ◽  
Industrial Utilization ◽  
Complete Set ◽  
Order Representation ◽  
Fractional Controller

This paper focuses on the problem of fractional controller P I stabilization for a first-order time-delay systems. For this reason, we utilize the Hermite–Biehler and Pontryagin theorems to compute the complete set of the stabilizing P I λ parameters. The widespread industrial utilization of PID controllers and the potentiality of their noninteger order representation justify a timely interest in P I λ tuning techniques. Step responses are calculated through K p , K i , l a m b d a parameters inside and outside stability region to prove the method efficiency.

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