Superconvergent Dispersion Relations and Pion-Pion Scattering Sum Rule

1969 ◽  
Vol 186 (5) ◽  
pp. 1567-1570 ◽  
Author(s):  
R. Acharya ◽  
H. H. Aly ◽  
P. Narayanaswamy
Keyword(s):  
Dispersion Relations ◽  
Sum Rule ◽  
Pion Scattering

Negative Pion Scattering and the Dispersion Relations

1957 ◽  
Vol 108 (5) ◽  
pp. 1352-1353 ◽  
Author(s):  
M. H. Zaidi ◽  
E. L. Lomon
Keyword(s):  
Dispersion Relations ◽  
Pion Scattering ◽  
Negative Pion

Pion Scattering and Dispersion Relations

1958 ◽  
Vol 110 (5) ◽  
pp. 1134-1139 ◽  
Author(s):  
J. Hamilton
Keyword(s):  
Dispersion Relations ◽  
Pion Scattering

scholarly journals INTERATOMIC FORCES, PHONONS, THE FOREMAN–LOMER THEOREM AND THE BLACKMAN SUM RULE

2001 ◽  
Vol 15 (26) ◽  
pp. 3439-3452 ◽  
Author(s):  
A. M. STEWART
Keyword(s):  
Phonon Dispersion ◽  
Dispersion Relations ◽  
Force Constants ◽  
Sum Rule ◽  
Cubic Crystals ◽  
Hexagonal Close Packed ◽  
Atomic Force ◽  
Principal Directions ◽  
General Relations ◽  
Phonon Dispersion Relations

Foreman and Lomer proposed in 1957 a method of estimating the harmonic forces between parallel planes of atoms of primitive cubic crystals by Fourier transforming the squared frequencies of phonons propagating along principal directions. A generalized form of this theorem is derived in this paper and it is shown that it is more appropriate to apply the method to certain combinations of the phonon dispersion relations rather than to individual dispersion relations themselves. Further, it is also shown how the method may be extended to the hexagonal close packed and diamond lattices. Explicit, exact and general relations in terms of atomic force constants are found for deviations from the Blackman sum rule which itself is shown to be derived from the generalized Foreman–Lomer theorem.

Sum Rule for theΣTerm from the Bjorken Limit and Mass Dispersion Relations

1971 ◽  
Vol 4 (7) ◽  
pp. 2079-2083 ◽  
Author(s):  
Wing-chiu Ng ◽  
Patrizio Vinciarelli
Keyword(s):  
Dispersion Relations ◽  
Sum Rule ◽  
Bjorken Limit ◽  
Mass Dispersion

scholarly journals Improvement of Multichannel Amplitudes for the Pion-Pion Scattering Using the Dispersion Relations

2013 ◽  
Vol 54 (7-10) ◽  
pp. 1149-1152 ◽  
Author(s):  
Petr Bydžovský ◽  
Robert Kamiński
Keyword(s):  
Dispersion Relations ◽  
Pion Scattering
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