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arXiv 1102.5505cond-mat.stat-mech
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用途径模型研究扩展热核函数

On extended thermonuclear functions through pathway model

D. Kumar, H. J. Haubold

摘要:

宇宙核合成的主要问题是反应速率的估算。目前的情况是,在麦克斯韦-玻尔兹曼形式的标准热核函数的评估,通过使用各种技术。麦克斯韦-玻尔兹曼方法的核反应速率理论扩展到涵盖Tsallis统计(Tsallis,1988)和更一般的情况下的分布函数。本文的主要目的是探讨在一些更详细的扩展反应概率积分在平衡热力学参数和截止情况下。扩展的反应概率积分将通过留数法对所有方便的参数值以封闭形式进行计算。标准的反应概率积分与扩展的反应概率积分的比较。

英文摘要:

The major problem in the cosmological nucleosynthesis is the evaluation of the reaction rate. The present scenario is that the standard thermonuclear function in the Maxwell-Boltzmann form is evaluated by using various techniques. The Maxwell-Boltzmannian approach to nuclear reaction rate theory is extended to cover Tsallis statistics (Tsallis, 1988) and more general cases of distribution functions. The main purpose of this paper is to investigate in some more detail the extended reaction probability integral in the equilibrium thermodynamic argument and in the cut-off case. The extended reaction probability integrals will be evaluated in closed form for all convenient values of the parameter by means of residue calculus. A comparison of the standard reaction probability integrals with the extended reaction probability integrals is also done.

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