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arXiv 1503.09122astro-ph.HE
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孤立匀速旋转磁化转子的制动指数

Braking index of isolated uniformly rotating magnetized pulsars

Oliver Hamil, Jirina Stone, Martin Urbanec, Gabriela Urbancova

摘要:

孤立的双星是旋转的中子星,具有精确测量的角速度$Ω$,它们的时间导数清楚地表明双星正在减速。虽然自旋下降的确切机制是一个有争议的问题,但普遍接受的观点是,它是通过从旋转的磁化体发射磁偶极子辐射(MDR)而产生的。其他过程,包括引力辐射和相对论性粒子(脉冲星风)的发射,也在考虑之中。计算的能量损失由一个旋转的脉冲星与一个恒定转动惯量假设成正比的模型依赖的功率$Ω$。该关系导致幂律$\dotΩ$ = -K $Ω^{\rm n}$,其中$n$称为制动指数。MDR模型预测$n$恰好等于3。对孤立星系的选定观测提供了相当精确的$n$值,个别精确到百分之几或更好,在1 $ <$ n $ < $ 2.8的范围内,这始终小于MDR模型的预测。尽管对MDR模型的各种修改进行了广泛的调查,但尚未发现令人满意的观察解释。我们采用了四个物理上现实的状态方程,和两个计算代码,在MDR模型的制动指数的旋转的动态效果建模。除此之外,我们还模拟了对转动惯量的影响,我们假设一定量的超流物质已经在恒星的地壳和核心区域之间显现出来,从而基本上消除了两个区域之间的动量传递。我们发现,旋转对制动指数的影响是显着的,在高频率,但在频率与最准确的测量到最新的刹车一致的影响不大。

英文摘要:

Isolated pulsars are rotating neutron stars with accurately measured angular velocities $Ω$, and their time derivatives which show unambiguously that the pulsars are slowing down. Although the exact mechanism of the spin-down is a question of debate in detail, the commonly accepted view is that it arises through emission of magnetic dipole radiation (MDR) from a rotating magnetized body. Other processes, including the emission of gravitational radiation, and of relativistic particles (pulsar wind), are also being considered. The calculated energy loss by a rotating pulsar with a constant moment of inertia is assumed proportional to a model dependent power of $Ω$. This relation leads to the power law $\dotΩ$ = -K $Ω^{\rm n}$ where $n$ is called the braking index. The MDR model predicts $n$ exactly equal to 3. Selected observations of isolated pulsars provide rather precise values of $n$, individually accurate to a few percent or better, in the range 1$ <$ n $ < $ 2.8, which is consistently less than the predictions of the MDR model. In spite of an extensive investigation of various modifications of the MDR model, no satisfactory explanation of observation has been found as yet. We employ four physically realistic equations of state, and two computational codes, to model the dynamical effects of rotation on the braking index in the MDR model. In addition to this we simulate an effect on moment of inertia where we assume a certain amount of superfluid matter has manifest between the crust and core region of the star thus essentially eliminating momentum transfer between the two regions. We find that the effects of rotation on braking index are significant at high frequencies, but have little effect at frequencies consistent with the most accurately measured pulsars to-date.

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