论文标题
低质量奇怪的星星和紧凑型恒星1E1207.4-5209在现场相关方法中
Low mass strange stars and the compact star 1E1207.4-5209 in the Field Correlator Method
论文作者
论文摘要
我们研究了奇怪恒星恒星序列的低质量区域中可能存在异常的质量缺陷。 我们采用在场相关方法框架中得出的状态的非驱动方程来描述奇怪物质的静水平衡。 大距离静态$ q {\ bar q} $势$ v_1 $和gluon冷凝物$ g_2 $是模型的主要参数。 我们使用表面引力红移测量作为探针，以确定奇怪恒星中心的比率$（{\ cal p}/{\ cal e}）_ c $。 对于$ v_1 = 0 $和$ g_2 \ gappr0.035 \，{\ rm gev}^4 $ \ ,,，我们表明$（{\ cal p}/{\ cal e}）_ c \ simeq0.262 $和相应的redshift $ z_s \ z_s \ sime deas deas deas at im the nim rigition at the nim rigition at im the niberar at im the niberar at impiment artimerrar 顺序。 作为我们研究的直接应用，我们尝试确定紧凑型星1E \，1207.4-5209的天体物理观察中$ v_1 $和$ g_2 $的值。由于表面红移确定的不确定性，我们进行了两次尝试获得模型参数。 我们的发现表明，$（{\ cal p}/{\ cal e}）_ c = 0.073^{+0.029} _ {+0.024} $ \，以68 \％的信心，$ v_1 = 0.44 \ pm0.10 $ \ \，g _ \％\％\ g_2 = 0.44 Gev}^4 $在第一次尝试中，在95 \％置信度\；和$（{\ cal p}/{\ cal e}）_ c = 0.073^{+0.029} _ {+0.024} = 0.087 \ pm0.028 $ \，以71 \％的信心，$ v_1 = 0.43 $ g_2 = 0.0093 \ pm0.00092 \，{\ rm gev}^4 $在第二次尝试中的94 \％信心。 这些值为$ v_1 $和$ g_2 $的值与晶格和QCD和规则计算的合理协议是合理的。 由于$ v_1 $和$ g_2 $的高值，1E \，1207.4-5209的异常质量缺陷为$ |Δ_2M| \ simeq2.56 \ simeq2.56 \ times10^{53} {53} $ \ $ |δ_2M| \ simeq2.94 \ times10^{53} $ \，erg \，在第二次尝试中。
We investigate the possible existence of anomalous mass defects in the low mass region of stellar sequences of strange stars. We employ the nonperturbative equation of state derived in the framework of the Field Correlator Method to describe the hydrostatic equilibrium of the strange matter. The large distance static $Q{\bar Q}$ potential $V_1$ and the gluon condensate $G_2$ are the main parameters of the model. We use the surface gravitational redshift measurements as a probe to determine the ratio $({\cal P}/{\cal E})_C$ at the center of strange stars. For $V_1=0$ and $G_2\gappr0.035\,{\rm GeV}^4$\,, we show that $({\cal P}/{\cal E})_C\simeq0.262$ and the corresponding redshift $z_S\simeq0.47$ are limiting values, at the maximum mass of the highest mass stellar sequence. As a direct application of our study, we try to determine the values of $V_1$ and $G_2$ from astrophysical observations of the compact star 1E\,1207.4-5209. Due to the uncertainties in the surface redshift determination, we made two attempts to obtain the model parameters. Our findings show that $({\cal P}/{\cal E})_C=0.073^{+0.029}_{+0.024}$\, at 68\% confidence, $V_1=0.44\pm0.10$\,GeV at 90\% confidence and $G_2=0.008\pm0.001\,{\rm GeV}^4$ at 95\% confidence \, in the first attempt; and $({\cal P}/{\cal E})_C=0.073^{+0.029}_{+0.024}=0.087\pm0.028$\, at 71\% confidence, $V_1=0.43\pm0.085$\,GeV at 94\% confidence and $G_2=0.0093\pm0.00092\,{\rm GeV}^4$ at 94\% confidence in the second attempt. These values of $V_1$ and $G_2$ are in reasonable agreement with the lattice and QCD sum rules calculations. As a consequence of the high values of $V_1$ and $G_2$, the anomalous mass defects of 1E\,1207.4-5209 are $|Δ_2M|\simeq2.56\times10^{53}$\,erg\, in the first attempt and $|Δ_2M|\simeq2.94\times10^{53}$\,erg\, in the second attempt.
