Experimental study of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>P</mml:mi><mml:mn>11</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>1440</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mi>D</mml:mi><mml:mn>13</mml:mn></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>1520</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>resonances from the CLAS data on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>e</mml:mi><mml:mi>p</mml:mi><mml:mo>→</mml:mo><mml:msup><mml:mi>e</mml:mi><mml:mo>′</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:msup><mml:mi>p</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:mrow></mml:math>
Аннотация
The transition helicity amplitudes from the proton ground state to the ${P}_{11}(1440)$ and ${D}_{13}(1520)$ excited states (${\ensuremath{\gamma}}_{v}p{N}^{*}$ electrocouplings) were determined from the analysis of nine independent one-fold differential ${\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}p$ electroproduction cross sections off a proton target, taken with CLAS at photon virtualities of $0.25<{Q}^{2}<0.60$ GeV${}^{2}$. The phenomenological reaction model was employed for separation of the resonant and nonresonant contributions to the final state. The ${P}_{11}(1440)$ and ${D}_{13}(1520)$ electrocouplings were obtained from the resonant amplitudes parametrized within the framework of a unitarized Breit-Wigner ansatz. They are consistent with results obtained in the previous CLAS analyses of the ${\ensuremath{\pi}}^{+}n$ and ${\ensuremath{\pi}}^{0}p$ channels. The successful description of a large body of data in dominant meson-electroproduction channels off protons with the same ${\ensuremath{\gamma}}_{v}p{N}^{*}$ electrocouplings offers clear evidence for the reliable extraction of these fundamental quantities from meson-electroproduction data. This analysis also led to the determination of the long-awaited hadronic branching ratios for the ${D}_{13}(1520)$ decay into $\ensuremath{\Delta}\ensuremath{\pi}$ (24$%$--32$%$) and $N\ensuremath{\rho}$ (8$%$--17$%$).
Перевод пока недоступен