U(3)L×U(3)Rchiral theory of mesons

Abstract

The chiral theory of mesons of two flavors has been extended to mesons containing strangeness. The theory has been studied at the tree level. Two new mass relations between vector and axialvector mesons have been obtained. In the chiral limit, the physical processes of normal parity and abnormal parity have been studied. Because of the universality of the coupling of this theory many interesting results have been obtained. In the chiral limit, theoretical results are in reasonable agreement with data.Chiral symmetry is one of the most important features revealed from quantum chromodynamics (QCD). Based on chiral symmetry and the principle of minimum coupling, a meson theory of two flavors has been proposed [I] and the theoretical results are in good agreement with the phenomenology of pseudoscalar, vector, and axial-vector mesons made of u and d quarks. In this paper we generalize the study of Ref.[I] to K , q, ql, K* (892), 4, K1 (1400), and f1(1510) mesons containing the third flavor-strange quark. The paper is organized in the following way: (1) the formalism of the theory;(2) new mass relations between vector and axial-vector mesons; (3) vector meson dominance (VMD) and kaon-form factors; (4) decays of T lepton; (5) decays of 4,

Decay of axial-vector mesons into VP andPγ

“…With these problems in mind, it becomes more useful to have at hand a Lagrangian which combines simplicity, wide applicability and accuracy. At the same time, most of the work done, for instance those derived in a chiral formalism [3][4][5][6][7][8][9][10][11], pay attention to the a 1 (1260) meson, while the b 1 (1235) has received much less attention. However, both the a 1 and the b 1 mesons and their SU(3) partners appear on an equal footing in the physical processes which we mentioned before.…”

“…Two main lines of work have developed using the formalisms of hidden symmetry [6] and Yang Mills [4] and connections can be done between them [7,12]. Work has also been done in the SU(3) sector [4,5,7,11], although it has been applied mostly to the SU(2) sector, particularly to the study of the a 1 → ρπ decay.…”

“…The decay of axial-vector mesons of J P C = 1 +− , 1 ++ (nonets associated to the b 1 (1235) and a 1 (1260) and partners respectively, (see table 1)), into a pseudoscalar (P) and a vector meson (V) has received some attention from the perspective of quark models [1,2] as well as using effective Lagrangians of the strong interaction [3][4][5][6][7][8][9][10][11]. Much of the work have been done in SU(2) [3,6,[8][9][10] and general structures have been developed.…”

The parton orbital angular momentum: Status and prospects

“…fields and auxiliary fields as given in Ref. [98], interpreting these quark fields as the short-range ones, i.e. ψ S and ψ S .…”

“…Following the procedure by Li in Ref. [98], one can integrate out the short-range fields and perform the derivative expansion to bosonize ψ S and ψ S . This leads to the Lagrangian with the following generic form:…”