The fluorescence spectrum of Na2induced by the 4726.87 Å line of an Argon ion laser has been analyzed with special emphasis on determination of accurate relative intensities. This work extends previous observations on Na2by using this excitation line. We have observed eight fluorescence series for theB1Πu→X1Σ+gband system corresponding to the excitation transitionsv′ = 9,J′ = 38 ←v″ = 1,J″ = 37;v′ = 14,J′ = 46 ←v″ = 4,J″ = 47;v′ = 14,J′ = 81 ←v″ = 3,J″ = 80;v′ = 15,J′ = 65 ←v″ = 4,J″ = 66;v′ = 12,J′ = 36 ←v″ = 3,J″ = 36;v′ = 12,J′ = 40 ←v″ = 3,J″ = 39v′ = 17,J′ = 45 ←v″ = 6,J′ = 45 andv′ = 18,J′ = 63 ←v″ = 6,J″ = 63. The seven latter series are reported for the first time. Optically pumped laser transitions obtained in Na2vapor by using this excitation wavelength have been assigned. The radiative transition probabilities for the observed fluorescence series were calculated using hybrid potential energy curves for theB1ΠuandX1Σ+gstates constructed up to last vibrational levels and anab initiotransition dipole moment function. Radiative lifetimes for the rovibrational levels of the upper states pumped by the laser line have also been calculated. The transition probabilities and lifetimes agree with the corresponding observed measurements, usually within the experimental uncertainty. From the rotational satellite structure with ΔJ′ = ±1 and ±2 of some bands, for the most intense fluorescence series, collision-induced transition rates and average cross sections have been obtained.