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

Mass Dispersion Relations in the Light of the Light Cone

1970 ◽  
Vol 25 (21) ◽  
pp. 1530-1534 ◽  
Author(s):  
Richard A. Brandt ◽  
Giuliano Preparata
Keyword(s):  
Light Cone ◽  
Dispersion Relations ◽  
Mass Dispersion

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

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.

scholarly journals THE STELLAR VELOCITY DISPERSION OF A COMPACT MASSIVE GALAXY AT z = 1.80 USING X-SHOOTER: CONFIRMATION OF THE EVOLUTION IN THE MASS-SIZE AND MASS-DISPERSION RELATIONS ,

2011 ◽  
Vol 736 (1) ◽  
pp. L9 ◽  
Author(s):  
Jesse van de Sande ◽  
Mariska Kriek ◽  
Marijn Franx ◽  
Pieter G. van Dokkum ◽  
Rachel Bezanson ◽  
...  
Keyword(s):  
Velocity Dispersion ◽  
Dispersion Relations ◽  
Stellar Velocity ◽  
Mass Size ◽  
Mass Dispersion ◽  
Massive Galaxy

scholarly journals Pion-mass dispersion relations in the baryon sector

2013 ◽  
Author(s):  
Vladimir Pascalutsa ◽  
Marc Vanderhaeghen ◽  
Jonathan Hall ◽  
Tim Ledwig
Keyword(s):  
Pion Mass ◽  
Dispersion Relations ◽  
Mass Dispersion

Mass-Dispersion Relations and Broken Scale Invariance

1972 ◽  
Vol 6 (4) ◽  
pp. 1026-1033 ◽  
Author(s):  
P. J. O'Donnell ◽  
T. P. Wong
Keyword(s):  
Scale Invariance ◽  
Dispersion Relations ◽  
Mass Dispersion

Mass-Dispersion Relations and Asymptotic Constraints on Form Factors

1970 ◽  
Vol 2 (8) ◽  
pp. 1702-1708 ◽  
Author(s):  
G. Murtaza ◽  
M. S. K. Razmi
Keyword(s):  
Form Factors ◽  
Dispersion Relations ◽  
Mass Dispersion

Gilbert-like dispersion relations for the form-factors

1970 ◽  
Vol 48 (20) ◽  
pp. 2420-2422 ◽  
Author(s):  
A. N. Kamal
Keyword(s):  
Form Factors ◽  
Dispersion Relations ◽  
Sum Rule

New dispersion relations are obtained for the form-factors. A sum rule for the r.m.s. radius is derived and tested.

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