Geodesic
Relationship between the elastic forward scattering amplitudes for a~particle and antiparticle at finite energies
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 1, pp. 3-6

Voir la notice de l'article provenant de la source Math-Net.Ru

Using the general postulates the following relationship is proved: $$ \left|\int_{E_1}^{E_2}\ln\right|\frac{f_{+}(E')}{f_{-}(E')}\left|\frac{dE'}{E'}\right|\pi^2, $$ where $f_{+}(E)$, $(f_{-}(E))$ is the elastic forward scattering amplitude for the particle (antiparticle). $E_1$, $E_2$ – arbitrary energies in l.s. Amplitudes $f_{\pm}(E)$ are proved to have no zeros in the complex plane of $E$. 
@article{TMF_1970_4_1_a0,
     author = {Yu. S. Vernov},
     title = {Relationship between the elastic forward scattering amplitudes for a~particle and antiparticle at finite energies},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--6},
     publisher = {mathdoc},
     volume = {4},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a0/}
}
TY  - JOUR
AU  - Yu. S. Vernov
TI  - Relationship between the elastic forward scattering amplitudes for a~particle and antiparticle at finite energies
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1970
SP  - 3
EP  - 6
VL  - 4
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a0/
LA  - ru
ID  - TMF_1970_4_1_a0
ER  - 
%0 Journal Article
%A Yu. S. Vernov
%T Relationship between the elastic forward scattering amplitudes for a~particle and antiparticle at finite energies
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1970
%P 3-6
%V 4
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a0/
%G ru
%F TMF_1970_4_1_a0
Yu. S. Vernov. Relationship between the elastic forward scattering amplitudes for a~particle and antiparticle at finite energies. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 1, pp. 3-6. http://geodesic.mathdoc.fr/item/TMF_1970_4_1_a0/