Baryon Octet Scattering inŨ(12)

Abstract

The predictions of £7(12) for the reactions NN -> NN and the crossed processes NN -> NN that follow from contact interactions in conjunction with pole terms are compared with the available experimental data, with particular reference to forward scattering and the threshold limit. The results in the annihilation channel are fairly satisfactory, whereas those in the direct channel are decidedly not so at the low energies where the comparison is effected. With structureless amplitudes the calculations represent the first step of a more complete dispersion treatment which correctly restores the unitarity of the amplitude.

The hypertriton in effective field theory

“…In principle, we have three unknown parameters: γ 1 , γ 3 , and the three-body parameter Λ * . However, we will first address the simpler scenario γ 1 = γ 3 , which follows from the SU(6) spin-flavor symmetry of the quark model [43,44]. Such an SU(6) symmetry also emerges in the large-N c limit of QCD [45].…”

Comparison of Nucleon-Nucleon Scattering Data with the Predictions ofSU(12)L

“…The present results are clearly independent of the assignment of the mesons. The equality of the scattering lengths is mentioned by Akyeampong et al 10 in a discussion of nucleon-nucleon scattering and the £7(12) symmetry of Salam et al?…”

Superconvergence Relations for Mesons and Higher Symmetries

“…On the mass shell, we have lim (3 2 +OW = g pTn />/; (4) and the constants for H E , H M , H Q , and G corresponding to g p7rr are given by g PPPJ 2g pppy k PPPJ and g pC07r , respectively. 8 In general, we identify the coupling constants by subscripts P,V for octets and JP 0 , Vo for singlets.…”

“…(3), (4), and the identifications gpirir = gVPP, gppp = gVVV, 2g pK *K*= : ~ 3 1/2 gpco 8 7r = gVVP , gpco l7 r = giC*co 1 K= (2/3) 1/2 gyy oP , igK*K*X Q = ga>a>X 0 = g<p<pX 0 = 6~1 /2 g V VP 0 .…”

“…We are interested in the strong-interaction sum rules obtained from Eq. (1) by projecting out the residue of the vector-meson poles at -q^-m^^ -qi=mi^ where q=i(qi-\-q2), and by taking the infinite-momentum limit 4 in p and p' as y-^ co for p= (p+7^3,^0), p 2 = -fn 2 …”