As some neutron star transients require an additional unknown heat source (referred to as “shallow heating”) to explain their high temperatures at the beginning of quiescence, we investigate the effect of shallow heating as well as compressional heating on the thermal state of transiently accreting neutron stars with the use of evolutionary calculations in the present work. Through comparing our theoretical predictions of the equilibrium redshifted luminosities |$(L_{\gamma}^{\infty})$| produced by both deep crustal heating and shallow heating/compressional heating for different time-averaged mass-accretion rates |$\langle\dot{M}\rangle$| with 35 updated observations of soft X-ray transients, the results show that both shallow heating and compressional heating make significant contributions to the equilibrium redshifted luminosity. The hotter sources (XTE J1701, MAXI J0556, EXO 0748, Aql X-1 etc.) with higher accretion rates are more likely to be explained with the effect of shallow heating or compressional heating. In addition, for a proper shallow heat |$q_\mathrm{sh}$| and mass-accretion rate |$\dot{M}$|⁠, the effect of shallow heating could be simulated by compressional heating.

中文翻译：

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瞬态积聚中子星的热态，除了地壳深层加热外，还具有额外的加热

由于某些中子星瞬变需要额外的未知热源（称为“浅加热”）来解释其在静止开始时的高温，因此我们研究浅加热以及压缩加热对瞬态吸积热态的影响在当前工作中使用演化计算的中子星。通过比较我们对平衡红移发光度| $（L _ {\ gamma} ^ {\ infty}）$ |的理论预测，通过深地壳加热和浅层加热/压缩加热在不同时间平均质量积聚速率下产生的| $ \ langle \ dot {M} \ rangle $ |对软X射线瞬态的35个更新观测结果表明，浅层加热和压缩加热都对平衡红移发光度做出了重要贡献。具有较高吸积率的较热源（XTE J1701，MAXI J0556，EXO 0748，Aql X-1等）更可能用浅层加热或压缩加热来解释。另外，为了适当的浅热| $ q_ \ mathrm {sh} $ | 和质量增加率| $ \ dot {M} $ |⁠，可以通过压缩加热来模拟浅层加热的效果。