We have performed an analysis of the $$e^+ e^- \rightarrow D^{(*)} {{\bar{D}}}^{(*)}$$ data in the region of the $$\psi (4040)$$ and $$\psi (4160)$$ resonances which have a substantial overlap and require special care. By using the $$^3 P_0$$ model to relate the different $$D^{(*)} {{\bar{D}}}^{(*)}$$ production modes, we make predictions for production of these channels and compare with experiment and other theoretical approaches. As a side effect we find that these resonances qualify largely as $$c {{\bar{c}}}$$ states and the weight of the meson–meson components in the wave function is very small.
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"title": "Analysis of the $$\\psi (4040)$$ <math><mrow><mi>\u03c8</mi><mo>(</mo><mn>4040</mn><mo>)</mo></mrow></math> and $$\\psi (4160)$$ <math><mrow><mi>\u03c8</mi><mo>(</mo><mn>4160</mn><mo>)</mo></mrow></math> decay into $$D^{(*)} {{\\bar{D}}}^{(*)}$$ <math><mrow><msup><mi>D</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup><msup><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup></mrow></math> , $$D_s^{(*)}{{\\bar{D}}}_s^{(*)}$$ <math><mrow><msubsup><mi>D</mi><mi>s</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msubsup><msubsup><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover><mi>s</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msubsup></mrow></math>"
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"abstracts": [
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"value": "We have performed an analysis of the $$e^+ e^- \\rightarrow D^{(*)} {{\\bar{D}}}^{(*)}$$ <math><mrow><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>-</mo></msup><mo>\u2192</mo><msup><mi>D</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup><msup><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup></mrow></math> data in the region of the $$\\psi (4040)$$ <math><mrow><mi>\u03c8</mi><mo>(</mo><mn>4040</mn><mo>)</mo></mrow></math> and $$\\psi (4160)$$ <math><mrow><mi>\u03c8</mi><mo>(</mo><mn>4160</mn><mo>)</mo></mrow></math> resonances which have a substantial overlap and require special care. By using the $$^3 P_0$$ <math><mrow><msup><mrow></mrow><mn>3</mn></msup><msub><mi>P</mi><mn>0</mn></msub></mrow></math> model to relate the different $$D^{(*)} {{\\bar{D}}}^{(*)}$$ <math><mrow><msup><mi>D</mi><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup><msup><mrow><mover><mrow><mi>D</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mo>(</mo><mrow></mrow><mo>\u2217</mo><mo>)</mo></mrow></msup></mrow></math> production modes, we make predictions for production of these channels and compare with experiment and other theoretical approaches. As a side effect we find that these resonances qualify largely as $$c {{\\bar{c}}}$$ <math><mrow><mi>c</mi><mover><mrow><mi>c</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow></math> states and the weight of the meson\u2013meson components in the wave function is very small."
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