Modeling the Multi-band Light Curves of the Afterglows of Three Gamma-Ray Bursts and Their Associated Supernovae

• Published in: arXiv.org 2022-04
• Main Authors: Ji-Shun Lian, Shan-Qin, Wang, Wen-Pei Gan, Jing-Yao, Li, En-Wei, Liang
• Format: Article
• Language: English
• Subjects: Afterglows; Blackbody; Bolometers; Curve fitting; Gamma ray astronomy; Gamma ray bursts; Light; Light curve; Mathematical models; Near infrared radiation; Parameters; Supernovae
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2112.11357

There are some dozen supernovae (SNe) associated with long Gamma-ray bursts (GRBs) have been confirmed. Most of previous studies derive the physical properties of the GRB-SNe by fitting the constructed (psuedo-)bolometric light curves. However, many GRB-SNe have only a few filter data, for which the (psuedo-)bolometric light curves are very difficult to be constructed. Additionally, constructing (psuedo-)bolometric light curves rely on some assumptions. In this paper, we use the multi-band broken power-law plus \(^{56}\)Ni model to fit the multi-band light curves of the afterglows and the SNe (SN~2001ke, SN~2013dx, and SN~2016jca) associated with three GRBs (GRB~011121, GRB~130702A, and GRB~161219B). We find our model can account for the multi-band light curves of the three GRB-SNe (except for the late-time \(z-\)band light curves of two events), indicating that the model is a reliable model. The \(^{56}\)Ni masses we derive are higher than that in the literature. This might be due to the fact that the \(^{56}\)Ni masses in the literature are usually obtained by fitting the psuedo-bolometric light curves whose luminosities are usually (significantly) underestimated. We suggest that the multi-band model can not only be used to fit the multi-band light curves of GRB-SNe that have many filter observations, but also fit those having sparse data.