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arXiv 0812.3938nucl-thhep-ph
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微扰核物理学

Perturbative nuclear physics

Silas R. Beane, David B. Kaplan, Aleksi Vuorinen

摘要:

我们提出了一个新的有效场论的核子-核子(NN)相互作用的微扰处理π介子相互作用,我们提供的证据表明,扩展令人满意地收敛到三阶的扩展,我们已经计算出的s和d波NN散射。从Kaplan-Savage-Wise(KSW)展开的非平凡不动点对应于无限的NN散射长度,我们治愈的收敛问题与该理论求和的所有订单的奇异短距离部分的π介子张量相互作用。这种方法使核物理中大量的高精度解析少体计算成为可能。

英文摘要:

We present a new formulation of effective field theory for nucleon-nucleon (NN) interactions which treats pion interactions perturbatively, and we offer evidence that the expansion converges satisfactorily to third order in the expansion, which we have computed analytically for s and d wave NN scattering. Starting with the Kaplan-Savage-Wise (KSW) expansion about the nontrivial fixed point corresponding to infinite NN scattering length, we cure the convergence problems with that theory by summing to all orders the singular short distance part of the pion tensor interaction. This method makes possible a host of high precision analytic few-body calculations in nuclear physics.

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