david wanderman tsvi piran the hebrew university of jerusalem · short (guetta&piran 2006)...
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![Page 1: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/1.jpg)
David Wanderman Tsvi Piran
The Hebrew University of Jerusalem
![Page 2: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/2.jpg)
To measure the GRB rate and luminosity function accurately
Building a representative data sample. Is there a redshift evolution of the luminosity
function? Local GRB rate and the energy deposit rate
![Page 3: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/3.jpg)
X V V Swift redshift
bursts
![Page 4: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/4.jpg)
X V V
101 bursts Swift – until GRB 090726
![Page 5: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/5.jpg)
" The observed Redshift – Luminosity distribution is a convolution of the intrinsic rate and luminosity function
" Assume the functions are independent
" Inverse the bin burst count matrix Nij
" Show that the functions found are consistent with the observations.
Nij
![Page 6: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/6.jpg)
Results The rate and the luminosity func3on
![Page 7: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/7.jpg)
Results The rate and the luminosity func3on fit to power-‐laws
![Page 8: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/8.jpg)
Comparison with the observed redshi; and luminosity distribu3ons
![Page 9: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/9.jpg)
We rescale the luminosity-‐redshi; plane to yield a uniform density -‐ up to the detec3on efficiency
Rescaling the luminosity-redshift plane
![Page 10: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/10.jpg)
Rescaling the luminosity-redshift plane
Uniform density -‐ indica&ng consistency.
![Page 11: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/11.jpg)
GRB RATE
Local rate = 1.3 Gpc^-3 yr^-1
![Page 12: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/12.jpg)
SN Ib/c rate
Long
Short (Guetta&Piran 2006)
Weak
![Page 13: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/13.jpg)
Long
Short (Guetta&Piran 2006)
UHECR
Weak
6x10^43 erg/Mpc^3/yr
6.5x10^41 erg/Mpc^3/yr
2x10^42 erg/Mpc^3/yr
![Page 14: David Wanderman Tsvi Piran The Hebrew University of Jerusalem · Short (Guetta&Piran 2006) UHECR Weak 6x10^43 erg/Mpc^3/yr 6.5x10^41 erg/Mpc^3/yr 2x10^42 erg/Mpc^3/yr . We calculate](https://reader036.vdocument.in/reader036/viewer/2022063013/5fce0bc4ecff2d2a5c54fd1e/html5/thumbnails/14.jpg)
We calculate the GRB luminosity function and rate
Show that GRB rate at high redshift is higher than expected from the SFR
Measure the local long-GRB rate Calculate the energy deposit rate into the ISM,
and find it close to the UHECR requirement