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Cross sections for the $\pi^+\pi^-$ events arising due to the decay of$\rho^0$ meson have been calculated. This rho meson is considered to producecoherently in the $(p,p^\prime)$ reaction on a nucleus. The distorted wavefunctions for the continuum particles and the rho meson propagator aredescribed by the eikonal form. The sensitivity of the cross section on the pionemission angle as well as on the beam energy has been investigated. The crosssections for the $\rho^0$ decaying inside and outside the nucleus are compared.In addition, the coherent and incoherent contributions to the cross section dueto $\rho^0$ inside and outside decay amplitudes are presented. The initial andfinal state interactions for this reaction have been studied. The nuclearmedium effect on the $\rho^0$ propagation through the nucleus is also explored.Comment: 8 pages (in Journal), 6 figure

physical review. c. nuclear physics/physical review. c, nuclear physics

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>π</mml:mi><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mi>π</mml:mi><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>emission from coherent<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>ρ</mml:mi><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>propagation in nuclei

π+π−emission from coherentρ0propagation in nuclei