Astrophysics and Space Science

, Volume 351, Issue 1, pp 267–279 | Cite as

Revisiting the Amati and Yonetoku correlations with Swift GRBs

  • H. ZitouniEmail author
  • N. Guessoum
  • W. J. Azzam
Original Article


We use a sample of Swift gamma-ray bursts (GRBs) to analyze the Amati and Yonetoku correlations. The first relation is between E p,i , the intrinsic peak energy of the prompt GRB emission, and E iso , the equivalent isotropic energy. The second relation is between E p,i and L iso , the isotropic peak luminosity. We select a sample of 71 Swift GRBs that have a measured redshift and whose observed \(E^{obs}_{p}\) is within the interval of energy 15–150 keV with a relative uncertainty of less than 70 %. We seek to find correlation relations for long-duration GRBs (LGRBs) with a peak photon flux P ph ≥2.6 ph/cm2/s. Uncertainties (error bars) on the values of the calculated energy flux P, the energy E iso , and the peak isotropic luminosity L iso are estimated using a Monte Carlo approach. We find 27 Swift LGRBs that satisfy all our constraints. Results of our analyses of the sample of 71 GRBs and the selected subsample (27 GRBs) are in good agreement with published results. The plots of the two relations for all bursts show a large dispersion around the best straight lines in the sample of 71 LGRBs but not so much in the subsample of 27 GRBs.


Gamma-rays: bursts Methods: statistical 



The authors gratefully acknowledge the use of the online Swift/BAT table compiled by Taka Sakamoto and Scott D. Barthelmy. We thank the referee for constructive comments, which led us to clarify some aspects of the paper.


  1. Amati, L., Mon. Not. R. Astron. Soc. 372, 233 (2006). doi: 10.1111/j.1365-2966.2006.10840.x ADSCrossRefGoogle Scholar
  2. 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 (2002). doi: 10.1051/0004-6361:20020722 ADSCrossRefGoogle Scholar
  3. Amati, L., Guidorzi, C., Frontera, F., Della Valle, M., Finelli, F., Landi, R., Montanari, E.: Mon. Not. R. Astron. Soc. 391, 577 (2008). arXiv:0805.0377. doi: 10.1111/j.1365-2966.2008.13943.x ADSCrossRefGoogle Scholar
  4. Amati, L., Frontera, F., Guidorzi, C.: Astron. Astrophys. 508, 173 (2009). arXiv:0907.0384. doi: 10.1051/0004-6361/200912788 ADSCrossRefGoogle Scholar
  5. Azzam, W.J., Alothman, M.J.: Adv. Space Res. 38, 1303 (2006a). doi: 10.1016/j.asr.2004.12.019 ADSCrossRefGoogle Scholar
  6. Azzam, W.J., Alothman, M.J.: Nuovo Cimento B 121, 1431 (2006b). doi: 10.1393/ncb/i2007-10270-5 ADSGoogle Scholar
  7. Azzam, W.J., Alothman, M.J.: Int. J. Astron. Astrophys. 3, 372 (2013). arXiv:1303.6530. doi: 10.4236/ijaa.2012.21001 CrossRefGoogle Scholar
  8. Band, D., Matteson, J., Ford, L., Schaefer, B., Teegarden, B., Cline, T., Paciesas, W., Pendleton, G., Fishman, G., Meegan, C.: In: Paciesas, W.S., Fishman, G.J. (eds.) American Institute of Physics Conference Series, vol. 265, p. 169 (1992) Google Scholar
  9. Bloom, J.S., Frail, D.A., Sari, R.: Astron. J. 121, 2879 (2001). arXiv:astro-ph/0102371. doi: 10.1086/321093 ADSCrossRefGoogle Scholar
  10. Capozziello, S., Izzo, L.: Astron. Astrophys. 490, 31 (2008). arXiv:0806.1120. doi: 10.1051/0004-6361:200810337 ADSCrossRefzbMATHGoogle Scholar
  11. Demianski, M., Piedipalumbo, E.: Mon. Not. R. Astron. Soc. 415, 3580 (2011). arXiv:1104.5614. doi: 10.1111/j.1365-2966.2011.18975.x ADSCrossRefGoogle Scholar
  12. Elliott, J., Greiner, J., Khochfar, S., Schady, P., Johnson, J.L., Rau, A.: Astron. Astrophys. 539, 113 (2012). arXiv:1202.1225. doi: 10.1051/0004-6361/201118561 ADSCrossRefGoogle Scholar
  13. Fenimore, E.E., Ramirez-Ruiz, E.: ArXiv Astrophysics e-prints (2000). arXiv:astro-ph/0004176
  14. Geng, J.J., Huang, Y.F.: Astrophys. J. 764, 75 (2013). arXiv:1212.4340. doi: 10.1088/0004-637X/764/1/75 ADSCrossRefGoogle Scholar
  15. Ghirlanda, G., Ghisellini, G., Lazzati, D.: Astrophys. J. 616, 331 (2004). doi: 10.1086/424913 ADSCrossRefGoogle Scholar
  16. Ghirlanda, G., Ghisellini, G., Firmani, C., Celotti, A., Bosnjak, Z.: Mon. Not. R. Astron. Soc. 360, 45 (2005). doi: 10.1111/j.1745-3933.2005.00043.x ADSCrossRefGoogle Scholar
  17. Ghirlanda, G., Ghisellini, G., Firmani, C., Nava, L., Tavecchio, F., Lazzati, D.: Astron. Astrophys. 452, 839 (2006). arXiv:astro-ph/0511559. doi: 10.1051/0004-6361:20054544 ADSCrossRefGoogle Scholar
  18. Ghirlanda, G., Nava, L., Ghisellini, G.: Astron. Astrophys. 511, 43 (2010). arXiv:0908.2807. doi: 10.1051/0004-6361/200913134 ADSCrossRefGoogle Scholar
  19. 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). arXiv:0803.0547. doi: 10.1088/0067-0049/180/2/330 ADSCrossRefGoogle Scholar
  20. Liang, E., Zhang, B.: Astrophys. J. 633, 611 (2005). arXiv:astro-ph/0504404. doi: 10.1086/491594 ADSCrossRefGoogle Scholar
  21. Nava, L., Salvaterra, R., Ghirlanda, G., Ghisellini, G., Campana, S., Covino, S., Cusumano, G., D’Avanzo, P., D’Elia, V., Fugazza, D., Melandri, A., Sbarufatti, B., Vergani, S.D., Tagliaferri, G.: Mon. Not. R. Astron. Soc. 421, 1256 (2012). arXiv:1112.4470. doi: 10.1111/j.1365-2966.2011.20394.x ADSCrossRefGoogle Scholar
  22. Norris, J.P., Marani, G.F., Bonnell, J.T.: Astrophys. J. 534, 248 (2000). arXiv:astro-ph/9903233. doi: 10.1086/308725 ADSCrossRefGoogle Scholar
  23. Preece, R.D., Briggs, M.S., Mallozzi, R.S., Pendleton, G.N., Paciesas, W.S., Band, D.L.: Astrophys. J. Suppl. Ser. 126, 19 (2000). arXiv:astro-ph/9908119. doi: 10.1086/313289 ADSCrossRefGoogle Scholar
  24. 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). arXiv:0802.0471. doi: 10.1111/j.1365-2966.2008.13476.x ADSGoogle Scholar
  25. Salvaterra, R., Campana, S., Covino, S., D’Avanzo, P., Ghirlanda, G., Ghisellini, G., Melandi, A., Tagliaferri, G., Nava, L., Vergani, S.: ArXiv e-prints (2013). arXiv:1309.2298
  26. Tsutsui, R., Yonetoku, D., Nakamura, T., Takahashi, K., Morihara, Y.: Mon. Not. R. Astron. Soc. 431, 1398 (2013). arXiv:1208.0429. doi: 10.1093/mnras/stt262 ADSCrossRefGoogle Scholar
  27. Yonetoku, D., Murakami, T., Nakamura, T., Yamazaki, R., Inoue, A.K., Ioka, K.: Astrophys. J. 609, 935 (2004). arXiv:astro-ph/0309217. doi: 10.1086/421285 ADSCrossRefGoogle Scholar
  28. Zhang, B., Mészàros, P.: Int. J. Mod. Phys. A 19, 2385 (2004). arXiv:astro-ph/0311321. doi: 10.1142/S0217751X0401746X ADSCrossRefGoogle Scholar
  29. Zhang, Z.B., Chen, D.Y., Huang, Y.F.: Astrophys. J. 755, 55 (2012). arXiv:1205.2411. doi: 10.1088/0004-637X/755/1/55 ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Faculté des SciencesUniversité Dr Yahia FaresMédéaAlgeria
  2. 2.Department of Physics, College of Arts & SciencesAmerican University of SharjahSharjahUAE
  3. 3.Department of Physics, College of ScienceUniversity of BahrainZallaqBahrain

Personalised recommendations