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Titolo:
Properties of hadron scattering amplitudes within an axiomatic approach
Autore:
Vernov, YS; Mnatsakanova, MN;
Indirizzi:
Russian Acad Sci, Inst Nucl Res, Moscow 117312, Russia Russian Acad Sci Moscow Russia 117312 st Nucl Res, Moscow 117312, Russia Moscow MV Lomonosov State Univ, Inst Nucl Phys, Moscow 119899, Russia Moscow MV Lomonosov State Univ Moscow Russia 119899 oscow 119899, Russia
Titolo Testata:
PHYSICS OF PARTICLES AND NUCLEI
fascicolo: 5, volume: 32, anno: 2001,
pagine: 589 - 618
SICI:
1063-7796(200109/10)32:5<589:POHSAW>2.0.ZU;2-L
Fonte:
ISI
Lingua:
ENG
Soggetto:
SUM-RULES; RESONANCE PHYSICS; QCD; THEOREM;
Tipo documento:
Review
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
147
Recensione:
Indirizzi per estratti:
Indirizzo: Vernov, YS Russian Acad Sci, Inst Nucl Res, Pr Shestidesyatiletiya Oktyabrya 7A, Moscow 117312, Russia Russian Acad Sci Pr Shestidesyatiletiya Oktyabrya 7A Moscow Russia 117312
Citazione:
Y.S. Vernov e M.N. Mnatsakanova, "Properties of hadron scattering amplitudes within an axiomatic approach", PHYS PART N, 32(5), 2001, pp. 589-618

Abstract

The properties of elementary particle scattering at high (though finite) energies which follow from the requirements of analyticity, unitarity and crossing symmetry, are discussed. The classical theorems valid at asymptotic energies are reproduced in the corresponding limits. Various sum rules are considered and are shown to be equivalent to the integral relations betweenthe real and imaginary parts of the scattering amplitudes. The relation between the real and imaginary parts of both symmetric and antisymmetric scattering amplitudes is studied in terms of a unified method. The connection between the modulus and the phase of the scattering amplitude is discussed. It is shown that the dispersion relations can be approximated by their local analogs if the scattering amplitude is not a rapidly oscillating function. The properties of oscillating scattering amplitudes are analyzed. Upper bounds on the total cross section and the elastic scattering amplitude are discussed. Absolute upper bounds on the elastic pi (0)pi (0) scattering amplitude for arbitrary energies are derived.

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Documento generato il 29/03/20 alle ore 12:15:40