Properties of the strange axial mesons in the relativized quark model

Abstract

We studied properties of the strange axial mesons in the relativized quark model. We calculated the K 1 decay constant in the quark model and showed how it can be used to extract theis the most sensitive measurement and also the most reliable since the largest of the theoretical uncertainties factor out. However the current bounds extracted from the TPC/Two-Gamma collaboration measurements are rather weak: we typically obtain −30 o < ∼ θ K < ∼ 50 o at 68% C.L. We also calculated the strong OZI-allowed decays in the pseudoscalar emission model and the flux-tube breaking model and extracted a 3 P 1 − 1 P 1 mixing angle of θ K ≃ 45 o . Our analysis also indicates that the heavy quark limit does not give a good description of the strange mesons.

Strong decays of strange quarkonia

“…As we noted in the section on K 1 mesons, our mixing angle θ is opposite in sign to that of Blundell and Godfrey [17], because they apply Eqs. (A13,A14) to sn antikaons, whereas we apply it to ns kaons.…”

Study of theK+π+π−final state inB+→J/ψKGuler1, Aihara2, Arinstein3 et al. 2011Phys. Rev. D294230View full textAdd to dashboardCite

“…[10] are used. 4 In studying a mode that has a J=c or c 0 in the final state, a key strategy is to reconstruct the J=c only in its decays to e þ e À or þ À , and the c 0 only in its decays to e þ e À , þ À , or J=c þ À . Although this choice abandons all but 12% of J=c 's and 5% of c 0 's, it reduces continuum backgrounds to a negligible level.…”

“…The detector response is then simulated using GEANT [8], combining randomly-triggered data with the simulated events. 4 See Ref. [11] for a detailed description of the event selection.…”

Strange axial-vector mesons mixing angle

“…where the parameter δ denoting a SU(3) breaking factor has the following form in the static limit of the quark model [10] …”