Abstract
We use a sample of Swift and Fermi short gamma-ray bursts (SGRBs) to test the validity of the Amati and Yonetoku correlations, which were originally found for long bursts. The first relation is between \(E_{p,i}\), the intrinsic peak energy of the GRB prompt emission, and \(E_{\mathit{iso}}\), the equivalent isotropic energy. The second relationship is between \(E_{p,i}\) and \(L_{\mathit{iso}}\), the peak isotropic luminosity. The sample is composed of 36 Swift SGRBs and 15 Fermi SGRBs that have measured redshifts and whose spectral parameters, with their uncertainties, are available online. The uncertainties (error bars) on the values of the calculated energy flux P, of the energy \(E_{\mathit{iso}}\), and of the peak isotropic luminosity peak \(L_{\mathit{iso}}\) are estimated using a Monte Carlo approach.
We find that SGRB energy and luminosity quantities (\(E_{p,i}\), \(L_{\mathit{iso}}\), and \(E_{\mathit{iso}}\)) can be correlated with Amati- and Yonetoku-like relations reasonably well (Pearson r-values of 0.5 and 0.6, respectively), although the data shows large scatter and hence large error bars on the slope and the intercept of the fitting line. Our results are consistent with other similar works, though we here use the largest sample of SGRBs with redshifts so far on this topic. We also find that \(E_{\mathit{iso}}\) and \(L_{\mathit{iso}}\) seem to evolve with redshift as \((1+ z)^{4.9 \pm 0.3}\) and \((1+z)^{5.5\pm 0.9}\), respectively, with a moderate goodness of fit. However, we caution that this is probably due to selection effects rather than being a genuine redshift evolution of \(E_{\mathit{iso}}\) and \(L_{\mathit{iso}}\).
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The authors gratefully acknowledge the use of the online Swift/BAT table compiled by Taka Sakamoto and Scott D. Barthelmy. The authors also acknowledge the usze of the online Fermi/GBM table compiled by von Kienlin et al. (2014) and Bhat et al. (2016).
References
Abbott, B.P., et al.: Phys. Rev. Lett. 119(16), 161101 (2017a). https://doi.org/10.1103/PhysRevLett.119.161101.
Abbott, B.P., et al.: Astrophys. J. 848(2), L13 (2017b). https://doi.org/10.3847/2041-8213/aa920c.
Amati, L.: Mon. Not. R. Astron. Soc. 372, 233 (2006). https://doi.org/10.1111/j.1365-2966.2006.10840.x
Amati, L., Frontera, F., Tavani, M., in’t Zand, J.J.M., Antonelli, A., Costa, E., Feroci, M., Guidorzi, C., Heise, J., Masetti, N., Montanari, E., Nicastro, L., Palazzi, E., Pian, E., Piro, L., Soffitta, P.: Astron. Astrophys. 390, 81 (2002a). https://doi.org/10.1051/0004-6361:20020722. arXiv:astro-ph/0205230
Amati, L., Frontera, F., Tavani, M., in’t Zand, J.J.M., Antonelli, A., Costa, E., Feroci, M., Guidorzi, C., Heise, J., Masetti, N., Montanari, E., Nicastro, L., Palazzi, E., Pian, E., Piro, L., Soffitta, P.: Astron. Astrophys. 390, 81 (2002b). https://doi.org/10.1051/0004-6361:20020722
Amati, L., Frontera, F., Guidorzi, C.: Astron. Astrophys. 508(1), 173 (2009). https://doi.org/10.1051/0004-6361/200912788. arXiv:0907.0384
Atteia, J.-L., Heussaff, V., Dezalay, J.-P., Klotz, A., Turpin, D., Tsvetkova, A.E., Frederiks, D.D., Zolnierowski, Y., Daigne, F., Mochkovitch, R.: Astrophys. J. 852(2), 144 (2018). https://doi.org/10.3847/1538-4357/aaa414
Azzam, W.J., Jaber, F.S., Ambareena, N.: J. Appl. Math. Phys. 8(11) (2020). https://doi.org/10.4236/jamp.2020.811175
Band, D.L., Preece, R.D.: Astrophys. J. 627(1), 319 (2005). https://doi.org/10.1086/430402. arXiv:astro-ph/0501559
Bloom, J.S., Frail, D.A., Sari, R.: Astron. J. 121, 2879 (2001). https://doi.org/10.1086/321093. arXiv:astro-ph/0102371
Bosnjak, Z., Celotti, A., Longo, F., Barbiellini, G.: Mon. Not. R. Astron. Soc. 384(2), 599 (2008). https://doi.org/10.1111/j.1365-2966.2007.12672.x. https://academic.oup.com/mnras/article-pdf/384/2/599/3394281/mnras0384-0599.pdf
Butler, N.R., Kocevski, D., Bloom, J.S., Curtis, J.L.: Astrophys. J. 671(1), 656 (2007). https://doi.org/10.1086/522492. arXiv:0706.1275
Butler, N.R., Kocevski, D., Bloom, J.S.: Astrophys. J. 694(1), 76 (2009). https://doi.org/10.1088/0004-637x/694/1/76
Dainotti, M.G., Amati, L.: Publ. Astron. Soc. Pac. 130(987), 051001 (2018). https://doi.org/10.1088/1538-3873/aaa8d7. arXiv:1704.00844
Dainotti, M., Del Vecchio, R., Tarnopolski, M.: arXiv e-prints, 1612 (2016). arXiv:1612.00618
Efron, B., Petrosian, V.: Astrophys. J. 399, 345 (1992). https://doi.org/10.1086/171931
Elliott, J., Greiner, J., Khochfar, S., Schady, P., Johnson, J.L., Rau, A.: Astron. Astrophys. 539, 113 (2012a). https://doi.org/10.1051/0004-6361/201118561. arXiv:1202.1225
Elliott, J., Greiner, J., Khochfar, S., Schady, P., Johnson, J.L., Rau, A.: Astron. Astrophys. 539, 113 (2012b). https://doi.org/10.1051/0004-6361/201118561. arXiv:1202.1225
Gehrels, N., Norris, J.P., Barthelmy, S.D., Granot, J., Kaneko, Y., Kouveliotou, C., Markwardt, C.B., Mészáros, P., Nakar, E., Nousek, J.A., O’Brien, P.T., Page, M., Palmer, D.M., Parsons, A.M., Roming, P.W.A., Sakamoto, T., Sarazin, C.L., Schady, P., Stamatikos, M., Woosley, S.E.: Nature 444(7122), 1044 (2006). https://doi.org/10.1038/nature05376. arXiv:astro-ph/0610635
Ghirlanda, G., Ghisellini, G., Firmani, C., Celotti, A., Bosnjak, Z.: Mon. Not. R. Astron. Soc. 360, 45 (2005). https://doi.org/10.1111/j.1745-3933.2005.00043.x
Ghirlanda, G., Nava, L., Ghisellini, G., Firmani, C., Cabrera, J.I.: Mon. Not. R. Astron. Soc. 387(1), 319 (2008). https://doi.org/10.1111/j.1365-2966.2008.13232.x. https://academic.oup.com/mnras/article-pdf/387/1/319/3206286/mnras0387-0319.pdf
Ghirlanda, G., Ghisellini, G., Nava, L., Salvaterra, R., Tagliaferri, G., Campana, S., Covino, S., D’Avanzo, P., Fugazza, D., Melandri, A., Vergani, S.D.: Mon. Not. R. Astron. Soc. 422(3), 2553 (2012). https://doi.org/10.1111/j.1365-2966.2012.20815.x. arXiv:1203.0003
Hakkila, J., Giblin, T.W., Roiger, R.J., Haglin, D.J., Paciesas, W.S., Meegan, C.A.: Astrophys. J. 582(1), 320 (2003). https://doi.org/10.1086/344568. arXiv:astro-ph/0209073
Heussaff, V., Atteia, J.-L., Zolnierowski, Y.: Astron. Astrophys. 557, 100 (2013). https://doi.org/10.1051/0004-6361/201321528. 15 pages, 5 figures, same version as the paper published in Astron. Astrophys.
Iyyani, S., Sharma, V.: Astrophys. J. Suppl. Ser. 255(2), 25 (2021). https://doi.org/10.3847/1538-4365/ac082f
Kocevski, D.: Astrophys. J. 747(2), 146 (2012). https://doi.org/10.1088/0004-637x/747/2/146
Komatsu, E., Dunkley, J., Nolta, M.R., Bennett, C.L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Limon, M., Page, L., Spergel, D.N., Halpern, M., Hill, R.S., Kogut, A., Meyer, S.S., Tucker, G.S., Weiland, J.L., Wollack, E., Wright, E.L.: Astrophys. J. Suppl. Ser. 180, 330 (2009). https://doi.org/10.1088/0067-0049/180/2/330. arXiv:0803.0547
Krimm, H.A., Yamaoka, K., Sugita, S., Ohno, M., Sakamoto, T., Barthelmy, S.D., Gehrels, N., Hara, R., Norris, J.P., Ohmori, N., Onda, K., Sato, G., Tanaka, H., Tashiro, M., Yamauchi, M.: Astrophys. J. 704(2), 1405 (2009). https://doi.org/10.1088/0004-637x/704/2/1405
Lloyd, N.M., Petrosian, V.: Astrophys. J. 511(2), 550 (1999). https://doi.org/10.1086/306719
Lloyd, N.M., Petrosian, V., Mallozzi, R.S.: Astrophys. J. 534(1), 227 (2000). https://doi.org/10.1086/308742
Minaev, P.Y., Pozanenko, A.S.: Mon. Not. R. Astron. Soc. 492(2), 1919 (2019). https://doi.org/10.1093/mnras/stz3611. https://academic.oup.com/mnras/article-pdf/492/2/1919/31838467/stz3611.pdf
Mochkovitch, R., Nava, L.: Astron. Astrophys. 577, 31 (2015). https://doi.org/10.1051/0004-6361/201424490. arXiv:1412.5807
Nakar, E., Piran, T.: Mon. Not. R. Astron. Soc. 360(1), 73 (2005). https://doi.org/10.1111/j.1745-3933.2005.00049.x. arXiv:astro-ph/0412232
Nava, L., Ghirlanda, G., Ghisellini, G., Firmani, C.: Mon. Not. R. Astron. Soc. 391(2), 639 (2008). https://doi.org/10.1111/j.1365-2966.2008.13758.x. arXiv:0807.4931
Osborne, J.A., Shahmoradi, A., Nemiroff, R.J.: Astrophys. J. 903(1), 33 (2020). https://doi.org/10.3847/1538-4357/abb9b7
Palmerio, J.T., Daigne, F.: Astron. Astrophys. 649, 166 (2021). https://doi.org/10.1051/0004-6361/202039929. arXiv:2011.14745
Rossi, F., Guidorzi, C., Amati, L., Frontera, F., Romano, P., Campana, S., Chincarini, G., Montanari, E., Moretti, A., Tagliaferri, G.: Mon. Not. R. Astron. Soc. 388, 1284 (2008). https://doi.org/10.1111/j.1365-2966.2008.13476.x. arXiv:0802.0471
Shahmoradi, A.: Astrophys. J. 766(2), 111 (2013a). https://doi.org/10.1088/0004-637X/766/2/111. arXiv:1209.4647
Shahmoradi, A.: arXiv e-prints, 1308 (2013b). arXiv:1308.1097
Shahmoradi, A., Nemiroff, R.: In: Meegan, C., Kouveliotou, C., Gehrels, N. (eds.) Gamma-Ray Burst: Sixth Huntsville Symposium. American Institute of Physics Conference Series, vol. 1133, p. 425 (2009). https://doi.org/10.1063/1.3155940
Shahmoradi, A., Nemiroff, R.J.: Mon. Not. R. Astron. Soc. 407(4), 2075 (2010). https://doi.org/10.1111/j.1365-2966.2010.16793.x. https://academic.oup.com/mnras/article-pdf/407/4/2075/17324824/mnras0407-2075.pdf
Shahmoradi, A., Nemiroff, R.J.: In: American Astronomical Society Meeting Abstracts. American Astronomical Society Meeting Abstracts, vol. 217, p. 249 (2011a)
Shahmoradi, A., Nemiroff, R.: Mon. Not. R. Astron. Soc. 411(3), 1843 (2011b)
Shahmoradi, A., Nemiroff, R.J.: Mon. Not. R. Astron. Soc. 451(1), 126 (2015). https://doi.org/10.1093/mnras/stv714. arXiv:1412.5630
Tsutsui, R., Yonetoku, D., Nakamura, T., Takahashi, K., Morihara, Y.: Mon. Not. R. Astron. Soc. 431, 1398 (2013a). https://doi.org/10.1093/mnras/stt262. arXiv:1208.0429
Tsutsui, R., Yonetoku, D., Nakamura, T., Takahashi, K., Morihara, Y.: Mon. Not. R. Astron. Soc. 431(2), 1398 (2013b). https://doi.org/10.1093/mnras/stt262. arXiv:1208.0429
Tu, Z.L., Wang, F.Y.: Astrophys. J. 869(2), 23 (2018). https://doi.org/10.3847/2041-8213/aaf4b8
Yonetoku, D., Murakami, T., Nakamura, T., Yamazaki, R., Inoue, A.K., Ioka, K.: Astrophys. J. 609, 935 (2004). https://doi.org/10.1086/421285. arXiv:astro-ph/0309217
York, D.: Can. J. Phys. 44, 1079 (1966)
York, D.: Earth Planet. Sci. Lett. 5, 320 (1968). https://doi.org/10.1016/S0012-821X(68)80059-7
York, D., Evensen, N.M., Lopez, M.M., Delgado, J.D.B.: Am. J. Phys. 72(3), 367 (2004). https://doi.org/10.1119/1.1632486
Zhang, B., Mészàros, P.: Int. J. Mod. Phys. A 19, 2385 (2004). https://doi.org/10.1142/S0217751X0401746X. arXiv:astro-ph/0311321
Zitouni, H., Guessoum, N., Azzam, W.J.: Astrophys. Space Sci. 351(1), 267 (2014). https://doi.org/10.1007/s10509-014-1839-5. arXiv:1611.05732
Zitouni, H., Guessoum, N., Azzam, W.J., Mochkovitch, R.: Astrophys. Space Sci. 357(1), 7 (2015). https://doi.org/10.1007/s10509-015-2311-x. arXiv:1611.08907
Zitouni, H., Guessoum, N., AlQassimi, K.M., Alaryani, O.: Astrophys. Space Sci. 363(11), 223 (2018). https://doi.org/10.1007/s10509-018-3449-0. arXiv:1810.04124
Acknowledgements
The authors gratefully acknowledge the use of the online Swift/BAT table compiled by Taka Sakamoto and Scott D. Barthelmy. The authors also acknowledge the use of the online Fermi/GBM table compiled by von Kienlin et al. (2014) and Bhat et al. (2016). The authors thank the General Directorate of Scientific Research and Technological Development (DGRSDT), Algiers, Algeria for the financial support. We thank the referee for constructive comments, which led us to clarify some aspects of the paper.
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Author H.Z. has received research support from General Directorate of Scientific Research and Technological Development (DGRSDT). The authors N.G. and W.J.A declare that no funds, grants, or other support were received during the preparation of this manuscript.
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Authors’ contributions: All three authors contributed to the writing and editing of the main manuscript text; H. Zitouni prepared the figures, with N. Guessoum and W.J. Azzam suggesting modifications to them. All three authors carefully reviewed the manuscript in all its versions.
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Zitouni, H., Guessoum, N. & Azzam, W. Testing the Amati and Yonetoku correlations for short gamma-ray bursts. Astrophys Space Sci 367, 74 (2022). https://doi.org/10.1007/s10509-022-04100-2
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DOI: https://doi.org/10.1007/s10509-022-04100-2