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arXiv 1402.2449nucl-thhep-phnucl-ex
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色散关系下核子-核子散射的次次领头阶研究

Nucleon-Nucleon scattering from dispersion relations: next-to-next-to-leading order study

J. A. Oller

摘要:

我们研究核子-核子($NN$)散射的应用$N/D$方法在手征微扰理论的次-主导(NNLO)的顺序在计算的虚部的$NN$分波振幅沿左手切割,这是动力学输入,这种方法。一个很好的再现的奈梅亨分波分析相移和混合角,这意味着一个稳定的改善,通过增加手征级的动力学输入的计算中实现的accuracies。建立了减法常数的功率计数,该功率计数适用于附于左切和右切的减法。我们讨论了不需要修改$NN$手征势使之与数据一致,而应该进行双核子中间态的迭代,以一种定义明确的方式最终获得解析和么正性的$NN$分波振幅。我们还确认在NNLO的长程相关性之间的$NN$ $S$波的有效范围和散射长度,当只采用一次减去色散关系,持有高达约10%的实验值相比。

英文摘要:

We study nucleon-nucleon ($NN$) scattering by applying the $N/D$ method in chiral perturbation theory up to next-to-next-to-leading (NNLO) order in the calculation of the imaginary part of the $NN$ partial-wave amplitudes along the left-hand-cut, which is the dynamical input for this approach. A quite good reproduction of the Nijmegen partial-wave analysis phase shifts and mixing angles is obtained, which implies a steady improvement in the accurateness achieved by increasing the chiral order in the calculation of the dynamical input. A power counting for the subtraction constants is established, which is appropriate for those subtractions attached to both the left- and right-hand cuts. We discuss that it is not necessary to modify the $NN$ chiral potential at NNLO to agree with data, but instead one should perform the iteration of two-nucleon intermediate states to finally achieve analytic and unitarity $NN$ partial-wave amplitudes in a well-defined way. We also confirm at NNLO the long-range correlations between the $NN$ $S$-wave effective ranges and scattering lengths, when employing only once-subtracted dispersion relations, that holds up to around 10% when compared with experimental values.

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