The properties of the broad-lined Type Ic supernova (SN) 2013dx, associated with the long gamma-ray burst GRB 130702A at a redshift z = 0.145, are derived via spectral modelling. SN 2013dx was similar in luminosity to other GRB/SNe, with a derived value of the mass of 56Ni ejected in the explosion of ≈0.4 M⊙. However, its spectral properties suggest a smaller explosion kinetic energy. Radiation transport models were used to derive a plausible mass and density distribution of the SN ejecta in a one-dimensional approximation. While the mass ejected in the explosion that is obtained from the modelling (Mej ≈ 9 M⊙) is similar to that of all other well-studied GRB/SNe, the kinetic energy is significantly smaller (EK ∼ 1052 erg). This leads to a smaller EK/Mej ratio, ≈1051 erg/M⊙, which is reflected in the narrower appearance of the spectral lines. While the low EK does not represent a problem for the scenario in which magnetar energy aids powering the explosion and the nucleosynthesis, it is nevertheless highly unusual. SNe Ic with similar EK have never been seen in coincidence with a GRB, and no well-observed GRB/SN has shown similarly low EK and EK/Mej.

中文翻译：

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与低红移 GRB130702A 相关的 SN 2013dx 建模表明 GRB/SN 属性的多样性

宽线 Ic 型超新星 (SN) 2013dx 的特性与红移 z = 0.145 处的长伽马射线暴 GRB 130702A 相关，是通过光谱建模得出的。SN 2013dx 的光度与其他 GRB/SNe 相似，导出的 56Ni 在爆炸中喷出的质量约为 0.4 M⊙。然而，它的光谱特性表明爆炸动能较小。辐射传输模型被用来在一维近似中推导出 SN 喷射物的合理质量和密度分布。虽然从建模中获得的爆炸中喷出的质量（Mej ≈ 9 M⊙）与所有其他经过充分研究的 GRB/SNe 相似，但动能明显更小（EK ～ 1052 erg）。这导致更小的 EK/Mej 比，≈1051 erg/M⊙，这反映在更窄的谱线外观上。虽然低 EK 对于磁能有助于为爆炸和核合成提供动力的情况并不代表问题，但它仍然非常不寻常。具有相似 EK 的 SNe Ic 从未与 GRB 重合，并且没有良好观测的 GRB/SN 显示出类似的低 EK 和 EK/Mej。