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Titolo: Transition rates for q(q)overbar >pi pi pi in a chiral model
Autore: Isert, DS; Klevansky, SP; Rehberg, P;
 Indirizzi:
 Inst Theoret Phys, D69120 Heidelberg, Germany Inst Theoret Phys Heidelberg Germany D69120 D69120 Heidelberg, Germany
 Titolo Testata:
 NUCLEAR PHYSICS A
fascicolo: 3,
volume: 643,
anno: 1998,
pagine: 275  302
 SICI:
 03759474(19981130)643:3<275:TRFQP>2.0.ZU;2G
 Fonte:
 ISI
 Lingua:
 ENG
 Soggetto:
 JONALASINIO 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, D69120 Heidelberg, Germany Inst Theoret Phys Philosophenweg 19 Heidelberg Germany D69120



 Citazione:
 D.S. Isert et al., "Transition rates for q(q)overbar >pi pi pi in a chiral model", NUCL PHYS A, 643(3), 1998, pp. 275302
Abstract
We investigate the nature of transition rates for the hadronization process of q(q)overbar > pi pi pi as opposed to the transition rates for q(q)overbar > pi pi, within the NambuJonaLasinio 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/Nc. Two ofthese types of graphs are seen to be either "slike" or "tlike" in nature. A further graph that contains both slike and tlike elements, and which is denoted as stlike, 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 nontrivial, are also discussed. The transition rate for the explicit case of u(u)overbar > pi(+)pi()pi(0), is evaluated numerically, assuming nonchiral pions, m(pi) = 135 MeV. The rate for threepion production is found to be of the same order of magnitude as for twopion production, making this a nonnegligible contribution to hadronization. (C) 1998 Elsevier Science B.V.
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Documento generato il 29/11/20 alle ore 06:44:40