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The prompt emission of short gamma ray bursts (sGRBs) with known redshiftsare analyzed using the model of multi-color blackbody which is interpreted asthe emission from a non-dissipative photosphere taking into account a power lawjet structure and the viewing geometry of the jet. We find nearly $69\%$ and$26\%$ of the sample are consistent with multi-color blackbody and a pureblackbody model, respectively. Using this interpretation, we infer that nearly$57\% \, (18\%)$ of the sGRBs in our sample are observed within (or along theedge of) the jet core. The sGRB jets are deduced to possess a narrow core witha median $\theta_c \sim 3^{\circ}$. This suggests the rate of sGRBs that wouldbe viewed within the jet core to be $1.8 - 26 \, \rm Gpc^{-3} \, yr^{-1}$. Thepower law index of the decreasing Lorentz factor profile of the jet structureis deduced to be $1.3 - 2.2$. The intrinsic luminosity is found to rangebetween $10^{48} - 10^{53}\, \rm erg/s$. The average values of Lorentz factorand nozzle radius of the sGRB jets are inferred to be $210\, (85)$ and$10^{7.7} \, (10^{9.6}) \, \rm cm$ for the cases when the photosphere forms inthe coasting (accelerating) phase respectively. The viability of the inferredvalues of the different parameters of the GRB outflow and viewing geometrywithin this physical interpretation enhances the prospect of the photosphericemission model to explain the observed GRB spectrum.

Study of prompt emission of short gamma ray bursts using multi-color blackbody: a clue to the viewing angle