Phase-shift parametrization and extraction of asymptotic normalization constants from elastic-scattering data

Working within the framework of the Coulomb modified Glauber model and the optical limit approximation, we propose a phenomenological method of analysis for heavy-ion elastic scattering data at intermediate energies. Instead of using the commonly employed Gaussian approximation for the input NN amplitude that is deficient in some respects at low intermediate energies, we evaluate it in terms of a three parameter phenomenological NN phase shift function. The application of the method to some 12 C -nucleus and 16 O -nucleus systems shows that a very good description of the elastic scattering data at several energies can be obtained in this way. In particular, the 12 C –12 C elastic scattering data at 200 MeV/nucleon is very well reproduced. We also calculate the effective NN potential using the phenomenological NN phase shift function by the method of inversion. The calculated potential shows the expected behavior and is found to vary smoothly with energy.

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K+p interactions in the range 0.9–1.5 GeV/c and elastic scattering phase shift analysis

Nuclear Physics B ◽

10.1016/0550-3213(70)90320-2 ◽

1970 ◽

Vol 20 (2) ◽

pp. 301-319 ◽

Cited By ~ 73

Author(s):

G. Giacomelli ◽

P. Lugaresi-Serra ◽

G. Mandrioli ◽

A.M. Rossi ◽

F. Griffiths ◽

...

Keyword(s):

Elastic Scattering ◽

Phase Shift ◽

Phase Shift Analysis ◽

Shift Analysis ◽

Scattering Phase

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ELASTIC SCATTERING WITH THE LIPATOV POMERON

Modern Physics Letters A ◽

10.1142/s0217732392003852 ◽

1992 ◽

Vol 07 (26) ◽

pp. 2415-2421 ◽

Cited By ~ 1

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.

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Pion-Nucleon Elastic Scattering at 310 MeV: Phase-Shift Analysis

Physical Review ◽

10.1103/physrev.129.2311 ◽

1963 ◽

Vol 129 (5) ◽

pp. 2311-2322 ◽

Cited By ~ 33

Author(s):

Olav T. Vik ◽

Hugo R. Rugge

Keyword(s):

Elastic Scattering ◽

Phase Shift ◽

Phase Shift Analysis ◽

Shift Analysis ◽

Pion Nucleon

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Phase Shift Region Analysis of n 16O Elastic Scattering in the 2 D 3/2 Resonance

Russian Physics Journal ◽

10.1007/s11182-013-9912-z ◽

2013 ◽

Vol 55 (9) ◽

pp. 992-998 ◽

Cited By ~ 6

Author(s):

S. B. Dubovichenko

Keyword(s):

Elastic Scattering ◽

Phase Shift ◽

Region Analysis

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Characterization of alumina powder using multiple small-angle neutron scattering. I. Theory

Journal of Applied Crystallography ◽

10.1107/s002188988501072x ◽

1985 ◽

Vol 18 (6) ◽

pp. 467-472 ◽

Cited By ~ 43

Author(s):

N. F. Berk ◽

K. A. Hardman-Rhyne

Keyword(s):

Particle Size ◽

Phase Shift ◽

Neutron Scattering ◽

Multiple Scattering ◽

Small Angle ◽

Small Angle Neutron Scattering ◽

Volume Fraction ◽

Scattering Data ◽

Alumina Powder ◽

Beam Broadening

Microstructural parameters of high-purity alumina powder are determined quantitatively throughout the bulk of the material using small-angle neutron scattering techniques. A unified theoretical and experimental approach for analyzing multiple scattering data is developed to obtain values for particle size, volume fraction and surface area. It is shown how particle size and volume fraction can be measured in a practical way from SANS data totally dominated by incoherent multiple scattering (`beam broadening'). The general phase-shift dependence of single-particle scattering is incorporated into the multiple scattering formalism, and it is also shown that the diffractive limit (small phase shift) applies even for phase shifts as large as unity (particle radii of order 1 μm). The stability of the Porod law against multiple scattering and the phase-shift scale are described, a useful empirical formula for analysis of beam broadening data is exhibited, and the applicability of the formulations to polydispersed systems is discussed.

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