Table 1.

Table corresponding to Fig. 5(a), shows whether for a given value of |$L_{\rm j, iso}$| and |$t_{\rm lag}$| the jet collimates and/or breaks out of the debris. We fix the value of expansion velocity of the debris |$v_{\rm deb}=0.03c$| for all cases, as we vary the delay time for jet launching |$t_{\rm lag}\sim 10^{6-8}\, {\rm s}$|⁠. The notation used is: Collimation: the jet gets collimated prior to break out, No collimation: the jet does not gets collimated before breaking out, Breakout: the jet successfully breaks out of the stellar debris, and No breakout: the jet gets choked with the debris material. The cases of collimated and choked jets in the table represent the scenario that would be ideal for neutrino production. Columns without entries imply that the entire row has the same outcome as stated in the middle column.

|$L_{\rm j,iso}$| (in |${\rm erg\, s}^{-1}$|⁠)|$t_{\rm lag} = 10^6\, {\rm s}$||$t_{\rm lag} = 10^7\, {\rm s}$||$t_{\rm lag} = 10^8\, {\rm s}$|
|$10^{40}$||$10^{43}$|Collimation; No breakout
|$5 \times 10^{43}$|Collimation; No breakoutCollimation; No breakoutNo collimation; No breakout
|$10^{44}$|Collimation; No breakoutCollimation; No breakoutNo collimation; No breakout
|$5 \times 10^{44}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$10^{45}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$5 \times 10^{45}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$10^{46}$|Collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$5 \times 10^{46}$|No collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$10^{47}$|No collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$L_{\rm j,iso}$| (in |${\rm erg\, s}^{-1}$|⁠)|$t_{\rm lag} = 10^6\, {\rm s}$||$t_{\rm lag} = 10^7\, {\rm s}$||$t_{\rm lag} = 10^8\, {\rm s}$|
|$10^{40}$||$10^{43}$|Collimation; No breakout
|$5 \times 10^{43}$|Collimation; No breakoutCollimation; No breakoutNo collimation; No breakout
|$10^{44}$|Collimation; No breakoutCollimation; No breakoutNo collimation; No breakout
|$5 \times 10^{44}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$10^{45}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$5 \times 10^{45}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$10^{46}$|Collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$5 \times 10^{46}$|No collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$10^{47}$|No collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
Table 1.

Table corresponding to Fig. 5(a), shows whether for a given value of |$L_{\rm j, iso}$| and |$t_{\rm lag}$| the jet collimates and/or breaks out of the debris. We fix the value of expansion velocity of the debris |$v_{\rm deb}=0.03c$| for all cases, as we vary the delay time for jet launching |$t_{\rm lag}\sim 10^{6-8}\, {\rm s}$|⁠. The notation used is: Collimation: the jet gets collimated prior to break out, No collimation: the jet does not gets collimated before breaking out, Breakout: the jet successfully breaks out of the stellar debris, and No breakout: the jet gets choked with the debris material. The cases of collimated and choked jets in the table represent the scenario that would be ideal for neutrino production. Columns without entries imply that the entire row has the same outcome as stated in the middle column.

|$L_{\rm j,iso}$| (in |${\rm erg\, s}^{-1}$|⁠)|$t_{\rm lag} = 10^6\, {\rm s}$||$t_{\rm lag} = 10^7\, {\rm s}$||$t_{\rm lag} = 10^8\, {\rm s}$|
|$10^{40}$||$10^{43}$|Collimation; No breakout
|$5 \times 10^{43}$|Collimation; No breakoutCollimation; No breakoutNo collimation; No breakout
|$10^{44}$|Collimation; No breakoutCollimation; No breakoutNo collimation; No breakout
|$5 \times 10^{44}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$10^{45}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$5 \times 10^{45}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$10^{46}$|Collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$5 \times 10^{46}$|No collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$10^{47}$|No collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$L_{\rm j,iso}$| (in |${\rm erg\, s}^{-1}$|⁠)|$t_{\rm lag} = 10^6\, {\rm s}$||$t_{\rm lag} = 10^7\, {\rm s}$||$t_{\rm lag} = 10^8\, {\rm s}$|
|$10^{40}$||$10^{43}$|Collimation; No breakout
|$5 \times 10^{43}$|Collimation; No breakoutCollimation; No breakoutNo collimation; No breakout
|$10^{44}$|Collimation; No breakoutCollimation; No breakoutNo collimation; No breakout
|$5 \times 10^{44}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$10^{45}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$5 \times 10^{45}$|Collimation; BreakoutNo collimation; No breakoutNo collimation; No breakout
|$10^{46}$|Collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$5 \times 10^{46}$|No collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
|$10^{47}$|No collimation; BreakoutNo collimation; BreakoutNo collimation; No breakout
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