arXiv subjects

Harry G. Blundell

Publications and source records attributed to Harry G. Blundell.

3 recordsLinked to original sources

arXiv1996

Meson Properties in the Quark Model: A Look at Some Outstanding Problems

This thesis examines three problems of the quark model, split between two general areas. The general areas are: 1) models of meson decay ($^3P_0$ and flux-tube breaking), 2) final state interactions (FSI's). The three specific problems are: 1) identification of the $f_4(2220)$ state, 2) determination of the mixing angle between the $K_1(1270)$ and $K_1(1400)$ mesons, 3) examination of FSI's in the reaction $γγ\rightarrow ππ$ near threshold. A more complete abstract is included in the thesis.

hep-ph↗

arXiv1996

The $ξ(2220)$ Revistited

We calculated the decay widths of the $1^3F_2$ and $1^3F_4$ $s\bar{s}$ mesons and compared them to the measured properties of the $ξ(2220)$ (now known as the $f_4(2220)$). Including previously neglected decay modes we found that the width of the $^3F_2$ state $s\bar{s}$ meson is much larger than previously believed making this explanation unlikely. On the other hand the predicted width of the $^3F_4$ state, although broader than the observed width, is consistent within the uncertainties of the model. This interpretation predicts large partial widths to $K K^*(892)$ and $K^*(892) K^*(892)$ final states which should be looked for. A second possibility that would account for the different properties of the $ξ(2220)$ seen in different experiments is that two hadronic states exist at this mass. The first would be a broader $^3F_4$ $s\bar{s}$ state which is seen in hadron beam experiments while the second would be a narrow state with high glue content seen in the gluon rich $J/ψ$ radiative decay. Further experimental results are needed to sort this out.

hep-ph↗

arXiv1996

Properties of the Strange Axial Mesons in the Relativized Quark Model

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 the $K_1 (^3P_1) - K_1 (^1P_1)$ mixing angle ($θ_K$) from the weak decay $τ\to K_1 ν_τ$. The ratio $BR(τ\to ν_τK_1 (1270))/BR(τ\to ν_τK_1(1400))$ is 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 $-30^o \lesssim θ_K \lesssim 50^o$ 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 $^3P_1 - ^1P_1$ mixing angle of $θ_K \simeq 45^o$. Our analysis also indicates that the heavy quark limit does not give a good description of the strange mesons.

hep-ph↗