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arXiv 0711.2233nucl-th
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宇称破缺双π交换核子-核子相互作用

Parity-violating two-pion exchange nucleon-nucleon interaction

N. Kaiser

摘要:

本文在手征微扰论中计算了首圈级宇称破坏的两π核子-核子交换势。在距离$r= m_π^{-1} \simeq 1.4 $ fm处,它们大约等于宇称违背的$1π$交换势的$\pm 16%$。我们还评估了宇称违反所产生的影响$2π$交换与虚拟$Δ(1232)$ -等压线的激发。这些出来是相对较小的比较,只有核子中间态的图表。这种与宇称守恒情况相反的行为的原因是CP不变性阻塞了占主导地位的等速中心通道。此外,我们还计算了宇称破坏的$1π$ -交换与宇称守恒的交换迭代的T-矩阵。在这项工作中提出的分析结果可以很容易地实施到宇称破坏核可观测量的计算。

英文摘要:

We calculate in chiral perturbation theory the parity-violating two-pion exchange nucleon-nucleon potentials at leading one-loop order. At a distance of $r= m_π^{-1} \simeq 1.4 $fm they amount to about $\pm 16%$ of the parity-violating $1π$-exchange potential. We evaluate also the parity-violating effects arising from $2π$-exchange with excitation of virtual $Δ(1232)$-isobars. These come out to be relatively small in comparison to those from diagrams with only nucleon intermediate states. The reason for this opposite behavior to the parity-conserving case is the blocking of the dominant isoscalar central channel by CP-invariance. Furthermore, we calculate the T-matrix related to the iteration of the parity-violating $1π$-exchange with the parity-conserving one. The analytical results presented in this work can be easily implemented into calculations of parity-violating nuclear observables.

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