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Titolo:
Transition rates for q(q)over-bar ->pi pi pi in a chiral model
Autore:
Isert, DS; Klevansky, SP; Rehberg, P;
Indirizzi:
Inst Theoret Phys, D-69120 Heidelberg, Germany Inst Theoret Phys Heidelberg Germany D-69120 D-69120 Heidelberg, Germany
Titolo Testata:
NUCLEAR PHYSICS A
fascicolo: 3, volume: 643, anno: 1998,
pagine: 275 - 302
SICI:
0375-9474(19981130)643:3<275:TRFQ-P>2.0.ZU;2-G
Fonte:
ISI
Lingua:
ENG
Soggetto:
JONA-LASINIO MODEL; NAMBU; RADIUS;
Keywords:
chiral symmetry; pion production; transition rates; hadronization;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
26
Recensione:
Indirizzi per estratti:
Indirizzo: Isert, DS Inst Theoret Phys, Philosophenweg 19, D-69120 Heidelberg, Germany Inst Theoret Phys Philosophenweg 19 Heidelberg Germany D-69120
Citazione:
D.S. Isert et al., "Transition rates for q(q)over-bar ->pi pi pi in a chiral model", NUCL PHYS A, 643(3), 1998, pp. 275-302

Abstract

We investigate the nature of transition rates for the hadronization process of q(q)over-bar --> pi pi pi as opposed to the transition rates for q(q)over-bar --> pi pi, within the Nambu-Jona-Lasinio model that has manifest chiral symmetry. Feynman diagrams appropriate to this process can be classified according to the expansion in the inverse number of colors 1/N-c. Two ofthese types of graphs are seen to be either "s-like" or "t-like" in nature. A further graph that contains both s-like and t-like elements, and which is denoted as st-like, is also present. To describe such a process with twoincoming and three outgoing particles, it is necessary to extend the number of Mandelstam invariants. It is convenient to introduce seven such variables, of which only five are independent. The cross section for two incomingparticles to three outgoing particles is then reexpressed in integral formin terms of these invariants. As a function of root s, the final expression is reduced to an integral over the four remaining invariants. The limits of integration, which are now non-trivial, are also discussed. The transition rate for the explicit case of u(u)over-bar --> pi(+)pi(-)pi(0), is evaluated numerically, assuming non-chiral pions, m(pi) = 135 MeV. The rate for three-pion production is found to be of the same order of magnitude as for two-pion production, making this a non-negligible contribution to hadronization. (C) 1998 Elsevier Science B.V.

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Documento generato il 29/11/20 alle ore 06:44:40