Dispersion relations for form factors

1958 ◽  
Vol 9 (4) ◽  
pp. 610-623 ◽  
Author(s):  
Y. Nambu
Keyword(s):  
Form Factors ◽  
Dispersion Relations

scholarly journals FORM FACTORS IN B → f0(980) AND D → f0(980) TRANSITIONS FROM DISPERSION RELATIONS

2007 ◽  
Vol 22 (02n03) ◽  
pp. 641-644 ◽  
Author(s):  
B. El-BENNICH ◽  
O. M. A. LEITNER ◽  
B. LOISEAU ◽  
J. P. DEDONDER
Keyword(s):  
Dispersion Relation ◽  
Spectral Representation ◽  
Form Factors ◽  
Dispersion Relations ◽  
Transition Form ◽  
Spectral Densities ◽  
Triangle Diagram ◽  
Relation Approach

Within the dispersion relation approach we give the double spectral representation for space-like and time-like B → f0(980) and D → f0(980) transition form factors in the whole q2 range. The spectral densities, being the input of the dispersion relations, are obtained from a triangle diagram of relativistic constituent quarks.

Form Factors for Graviton–Particle Interactions

1971 ◽  
Vol 49 (14) ◽  
pp. 1869-1873 ◽  
Author(s):  
M. G. Hare
Keyword(s):  
Form Factors ◽  
Dispersion Relations ◽  
Elementary Particles ◽  
Threshold Region ◽  
Particle Interactions ◽  
Mass Energy ◽  
Vertex Corrections

Contributions to the mass-energy form factors are calculated for the graviton–nucleon and graviton–deuteron (singlet and triplet) vertex interactions using sidewise dispersion relations. These factors are useful in astrophysics for vertex corrections to graviton–particle interactions. Electromagnetic contributions are considered for all vertices, π-meson contributions for the nucleon vertex and the two nucleon breakup for the singlet deuteron vertex. The deuterons are treated as elementary particles and the threshold region is assumed to dominate the results.

Mass Radius of the Nucleon

1972 ◽  
Vol 50 (11) ◽  
pp. 1163-1168 ◽  
Author(s):  
M. G. Hare ◽  
G. Papini
Keyword(s):  
Mass Distribution ◽  
Intermediate State ◽  
Energy Momentum Tensor ◽  
Form Factors ◽  
Momentum Tensor ◽  
Dispersion Relations ◽  
Matrix Elements ◽  
State Expansion ◽  
The Matrix ◽  
The Mean

The mean radius of the mass distribution of the nucleon is determined to be [Formula: see text]. The calculation makes use of sidewise, unsubtracted, threshold dominated dispersion relations for the form factors appearing in the matrix elements of the contracted energy–momentum tensor. It uses a π meson–nucleon intermediate state expansion.

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