Phase Problem in Nuclear Scattering Additional Constraints for the Analysis of Elastic Scattering Data

2002 ◽  
Vol 39 (sup2) ◽  
pp. 807-810
Author(s):  
H. Leeb ◽  
H. Grötz ◽  
S. Wilmsen
Keyword(s):  
Elastic Scattering ◽  
Scattering Data ◽  
Phase Problem ◽  
Nuclear Scattering ◽  
Additional Constraints

PROTON-NUCLEUS REACTION CROSS SECTIONS COMPUTED FROM ELASTIC-SCATTERING DATA

1967 ◽  
Vol 45 (4) ◽  
pp. 1497-1500 ◽  
Author(s):  
F. Sannes ◽  
D. G. Stairs
Keyword(s):  
Elastic Scattering ◽  
Cross Section ◽  
Cross Sections ◽  
Scattering Amplitude ◽  
Reaction Cross ◽  
Scattering Data ◽  
Optical Theorem ◽  
Nuclear Scattering ◽  
Nuclear Amplitude ◽  
Reaction Cross Sections

Proton-nucleus reaction cross sections in the energy region from 90 to 300 MeV are computed from elastic-scattering data. The interference of the nuclear scattering amplitude with the calculable Coulomb scattering amplitude determines the magnitude and phase of the nuclear amplitude when the differential elastic-scattering cross section is known. The reaction cross section is then obtained by an application of the optical theorem.

scholarly journals Quantum diffraction grating: A possible new description of nuclear elastic scattering

2016 ◽  
Vol 25 (02) ◽  
pp. 1650008 ◽  
Author(s):  
H. Wojciechowski
Keyword(s):  
Elastic Scattering ◽  
Diffraction Grating ◽  
Scattering Theory ◽  
Generalized Functions ◽  
Scattering Data ◽  
Quantum Scattering ◽  
Nuclear Scattering ◽  
Quantum Diffraction ◽  
Polynomial Series ◽  
Elastic Differential Cross Section

The problem of discontinuous functions and their representations in the form of Legendre polynomial series in quantum nuclear scattering theory is presented briefly. The problem is quite old yet not adequately explained in numerous Quantum Theory textbooks and sometimes not correctly understood by physicists. Introduction of the generalized functions into the quantum scattering theory clarifies the problem and allows to propose new interpretations of nuclear elastic scattering phenomenon. The derived new forms of the full elastic scattering amplitudes and possibility of splitting them suggest existence of dynamical quantum diffraction grating around the nuclei. Particularly important fact is that this grating existing in the space around the nucleus makes considerable contribution to the experimental elastic differential cross-section. All these might be quite important in analyses of nuclear elastic scattering data and so require to be stated in a more detailed and clear way.

scholarly journals Analyses of \pi^{\pm} nucleus elastic scattering data at T_\pi = 40, 30, 20 MeV using a suggested scaling method

2018 ◽  
Vol 64 (3) ◽  
pp. 314
Author(s):  
Zuhair F. Shehadeh ◽  
Reham M. El-Shawaf
Keyword(s):  
Elastic Scattering ◽  
Cross Sections ◽  
Reaction Cross ◽  
Scattering Data ◽  
Nuclear Scattering ◽  
Scaling Procedure ◽  
Pionic Atom ◽  
Charged Pions ◽  
Simple Scaling ◽  
Reaction Cross Sections

The data for elastically scattered charged pions from few nuclei, namely ^{12}C, ^{16}O, ^{28}Si, ^{32}S, ^{40}Ca, ^{56}Fe, ^{58}Ni, and ^{90}Zr have been analyzed by obtained potentials using a suggested scaling procedure. Originally the \pi ^{\pm}-^{12}C elastic scattering data at 50 MeV was nicely fitted by a parameterized simple local optical potential extracted from available phase shifts using inverse scattering theory. The potential parameters of the  \pi ^{\pm}-^{12}C systems were scaled to  \pi ^{\pm}-^{16}O systems and then successively to other few systems covering the scattering of charged pions from target nuclei, namely \pi ^{\pm}-^{28}Si, \pi ^{\pm}-^{32}S, \pi ^{\pm}-^{40}Ca, \pi ^{\pm}-^{56}Fe, \pi ^{\pm}-^{58}Ni and \pi ^{\pm}-^{90}Zr . The obtained scaled potentials showed a remarkable success in explaining the available measured elastic differential cross sections, and in predicting other ones for the systems under consideration. The reaction cross sections have been calculated for all these systems at the three incident pion's kinetic energies, T\pi = 40, 30, 20 MeV. Unfortunately, experimental reaction cross sections are totally absent or cloudy and unconfident. As such, and at this stage, we consider our calculated values useful and pending for future investigations.  For the systems and energies considered herein, simple scaling relations are well established. This will be beneficial in analyzing similar nuclear scattering data, as low-energy pion-nucleus and kaon-nucleus elastic scattering data; and, hopefully, in explaining pionic atom data.

ELASTIC SCATTERING WITH THE LIPATOV POMERON

1992 ◽  
Vol 07 (26) ◽  
pp. 2415-2421 ◽  
Author(s):  
A. P. CONTOGOURIS ◽  
F. LEBESSIS
Keyword(s):  
Asymptotic Behavior ◽  
Elastic Scattering ◽  
Specific Model ◽  
Scattering Data ◽  
High Energies ◽  
Very High

First a unitarization procedure for an amplitude with the asymptotic behavior of the Lipatov Pomeron is presented; it amounts to its iteration along the s-channel. Next, based on this procedure, a specific model is considered and applied to the description of elastic scattering data at very high energies; it is shown that it leads to a fair description of them.

scholarly journals Evaluation of low-Q2 fits to ep and ed elastic scattering data

2020 ◽  
Vol 999 ◽  
pp. 121767 ◽  
Author(s):  
Timothy B. Hayward ◽  
Keith A. Griffioen
Keyword(s):  
Elastic Scattering ◽  
Scattering Data

Phenomenological analyses of antiproton elastic scattering data

1985 ◽  
Vol 446 (3-4) ◽  
pp. 637-656 ◽  
Author(s):  
H. Heiselberg ◽  
A.S. Jensen ◽  
A. Miranda ◽  
G.C. Oades ◽  
O. Dumbrajs
Keyword(s):  
Elastic Scattering ◽  
Scattering Data

Effects of systematic errors in analyses of nuclear scattering data

1996 ◽  
Vol 54 (2) ◽  
pp. 822-832 ◽  
Author(s):  
M. T. Bennett ◽  
C. Steward ◽  
K. Amos ◽  
L. J. Allen
Keyword(s):  
Systematic Errors ◽  
Scattering Data ◽  
Nuclear Scattering

EIKONAL DESCRIPTION OF 12C–12C ELASTIC SCATTERING IN TERMS OF PHENOMENOLOGICAL EFFECTIVE NN POTENTIAL

2002 ◽  
Vol 11 (06) ◽  
pp. 519-529 ◽  
Author(s):  
I. AHMAD ◽  
M. A. ABDULMOMEN ◽  
M. A. ALVI
Keyword(s):  
Elastic Scattering ◽  
Scattering Amplitude ◽  
Heavy Ion ◽  
Scattering Data ◽  
Essential Point ◽  
Intermediate Energies ◽  
Optical Limit ◽  
Optical Limit Approximation ◽  
Glauber Multiple Scattering Theory ◽  
Limit Approximation

A phenomenological method of analysis for heavy-ion elastic scattering data at intermediate energies is proposed within the framework of the optical limit approximation of the Glauber multiple scattering theory. The essential point of our method is to evaluate the NN scattering amplitude in terms of a phenomenological effective NN potential the parameters of which are varied to fit the experimental data. It is applied to analyze 12C–12C elastic scattering data in the energy range of 25–200 MeV/nucleon with a good degree of success.

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