Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons

Abstract

On the basis of the lightlike chiral structure of hadrons, we investigate the S-and P-wave nonleptonic decays of hyperons. Assuming that (i) the 1/2c octet baryons transform as (6, 3) under the chiral SU, (3) (?)SU, (3) and (ii) the weak Hamiltonian transforms as octet under either the left-handed or the right-handed SU, (3), we show that the equal x+ -commutator terms satisfy the Lil=l/2 rules and the L-S relation for the S-wave decays, and the L1I=li2 rule for the P-wave I -decays. @SU, (3) . 91 Encouraged by its success in understanding the hadron spectrum and the pionic decays of hadron resonances, we investigate the nonleptonic hyperon decays in this scheme.In this paper we sho\v that this scheme, under some assumptions, can gi,-e not only a unified description of the Sand P-wave decays but also some further insight into the difficulty of the P-wave decays. Our investigation in this paper is restricted to the equal x~-commutator in the light-front reduction formula. 101 Relying on Ida's analysis, we take the 1 /2+ octet baryon with helici ty + 1 to be dominantly in the representation (6, 3) of SU1 (3) @SU1 (3). In contrast to the usual octet dominance hypothesis of the weak Hamiltonian, \Ye assume that it transforms as octet under either the left-handed or the right-handed SU1 (3). Our at Florida International University on July 11, 2015 http://ptp.oxfordjournals.org/ Downloaded from A.sszmzjJtion (II): The weak Hamiltonian transforms as octet under either the left-handed or the right-handed sul (3). On this assumption the vveak Hamiltonian becomes Hw =aJI(8, I) +a2H(I, 8) +a3 II { (8, 8); 8,} +a,H{ (8, 8); 27}. (2) \Ve are led to this Hamiltonian by the following considerations. Starting from the quarks, which transforms as (3, I)+ (L 3) 12 J under the chiral SU1 (3) '>?;;SU1 (3), we construct the usual V-L'i current. From the symmetrical product of two octet currents of this type ~with relevant SU(3) indices, we pick up those terms which are allowed from the Assumption (II). Thus we arrive at Eq. (2). With the help of the generalized parity transformation.w it at Florida

Nonleptonic Hyperon Decays and Lightlike Chiral Structure of Hadrons. II: The Octet Dominance and the Lee-Sugawara Relation

“…In a previous paper, 6 J the investigation of the nonleptonic hyperon decays was restricted to the equal x +-commutator term in the light-front reduction formula. n And there it was assumed that the (6, 3) state is dominant in the 1/2+ octet baryon and that the weak Hamiltonian of the nonleptonic decay transforms as In this paper, we shall also consider the non-commutator as well as the commutator terms.…”