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arXiv 1112.2136nucl-thastro-ph.SRnucl-ex
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完整三体模型中的低温三α速率

Low-temperature triple-alpha rate in a full three-body model

N. B. Nguyen, F. M. Nunes, I. J. Thompson, E. F. Brown

摘要:

本文介绍了一种新的全三体方法来计算恒星中$^{12}$ C的主要来源--三α俘获反应的速率。在这项工作中,我们结合Faddeev超球谐函数和R-矩阵方法获得完整的解决方案,三体$α+α+α$连续。特别注意的是由成对库仑相互作用引起的长程效应。当温度大于0.07 GK时,新的速率与NACRE速率一致,但在较低温度下发现了较大的增强($\approx 10^{14}$在0.02 GK)。我们的结果进行了比较,以前的计算中,额外的近似。我们表明,新的速率并没有显着改变恒星的演化围绕一个太阳质量。特别是,这些恒星仍然经历了与观测一致的红巨星阶段,并且在最后的白矮星中没有发现显着的差异。

英文摘要:

A new full three-body method is introduced to compute the rate of the triple-alpha capture reaction which is the primary source of $^{12}$C in stars. In this work, we combine the Faddeev hyperspherical harmonics and the R-matrix method to obtain a full solution to the three-body $α+α+α$ continuum. Particular attention is paid to the long range effects caused by the pairwise Coulomb interactions. The new rate agrees with the NACRE rate for temperatures greater than 0.07 GK, but a large enhancement at lower temperature is found ($\approx 10^{14}$ at 0.02 GK). Our results are compared to previous calculations where additional approximations were made. We show that the new rate does not significantly change the evolution of stars around one solar mass. In particular, such stars still undergo a red-giant phase consistent with observations, and no significant differences are found in the final white dwarfs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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