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Study of theρ(1710)at 8.0 and 18.5 GeV/c

Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields1973Vol. 7(7), pp. 1971–1977

N. M. Cason, N. N. Biswas, V. P. Kenney, W. D. Breaden Madden, O.R. Sander, W. D. Shephard

Abstract

We have studied the reaction ${\ensuremath{\pi}}^{\ensuremath{-}}p\ensuremath{\rightarrow}p{\ensuremath{\rho}}^{\ensuremath{-}}(1710)\ensuremath{\rightarrow}p{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{\ensuremath{-}}{\ensuremath{\pi}}^{0}$ at 8.0 and 18.5 GeV/c. Evidence is presented for the dominance of the ${\ensuremath{\rho}}^{\ensuremath{-}}{\ensuremath{\rho}}^{0}$ decay mode. An upper limit of 39% for $A \ensuremath{\pi}$ decay relative to all $4\ensuremath{\pi}$ decay modes is determined for the ${\ensuremath{\rho}}^{\ensuremath{-}}(1710)$. Assuming only $\ensuremath{\rho}\ensuremath{\rho}$ and $\ensuremath{\omega}\ensuremath{\pi}$ decay modes contribute, we find $\frac{[\ensuremath{\rho}(1710)\ensuremath{\rightarrow}\ensuremath{\rho}\ensuremath{\rho}]}{[\ensuremath{\rho}(1710)\ensuremath{\rightarrow}\mathrm{all} 4\ensuremath{\pi}]}=(78\ifmmode\pm\else\textpm\fi{}33)%$ and $\frac{[\ensuremath{\rho}(1710)\ensuremath{\rightarrow}\ensuremath{\omega}\ensuremath{\pi}]}{[\ensuremath{\rho}(1710)\ensuremath{\rightarrow}\mathrm{all} 4\ensuremath{\pi}]}=(22\ifmmode\pm\else\textpm\fi{}8)%$. If the $\ensuremath{\rho}(1710)$ is identical to the $g(1680)$, we find $\frac{(g\ensuremath{\rightarrow}2\ensuremath{\pi})}{(g\ensuremath{\rightarrow}4\ensuremath{\pi})}=0.35\ifmmode\pm\else\textpm\fi{}0.11$. The mass and width of the $\ensuremath{\rho}(1710)$ determined from the ${(4\ensuremath{\pi})}^{\ensuremath{-}}$ mass spectrum are 1.687 \ifmmode\pm\else\textpm\fi{} 0.020 GeV and ${0.169}_{\ensuremath{-}.048}^{+.070}$ GeV, respectively. The production cross section is determined as a function of energy and, if a function of the form $\ensuremath{\sigma}=A_{\mathrm{lab}}^{}{}_{}{}^{\ensuremath{-}n}$ is assumed, we find $n={1.4}_{\ensuremath{-}0.3}^{+0.5}$. The distribution of four-momentum transfers, ${t}^{\ensuremath{'}}=t\ensuremath{-}{t}_{min}$, for $\ensuremath{\rho}(1710)$ production is characterized by a two-slope distribution with ${\ensuremath{\alpha}}_{1}\ensuremath{\approx}9.6$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{\ensuremath{-}2}$ for ${t}^{\ensuremath{'}}\ensuremath{\lesssim}0.3$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{2}$ and ${\ensuremath{\alpha}}_{2}\ensuremath{\approx}2.1$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{\ensuremath{-}2}$ for ${t}^{\ensuremath{'}}\ensuremath{\gtrsim}0.3$ ${(\mathrm{G}\mathrm{e}\mathrm{V}/\mathit{c})}^{2}$.

Abstract

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