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arXiv 2602.18664nucl-th
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双π交换核-核势能与Roper共振激发

Two-pion exchange nucleon-nucleon potentials with Roper resonance excitation

Technische Universität München(慕尼黑工业大学)

Norbert Kaiser

AI总结:

本文通过双π交换和Roper共振激发计算核-核势的谱函数,并采用减去色散关系获得动量空间势。

摘要:

受最近arXiv:2602.11815 [nucl-th]论文的启发,我们在此计算了由单个和双Roper共振激发产生的NN势的谱函数(即虚部)。与完整的一阶循环计算不同,标量和矢量中央和张量势的谱函数可以给出简单的解析形式。相关的动量空间势$V_C(q), W_C(q), V_T(q), W_T(q)$通过减去的色散关系获得。这种表示方法也允许包含一个调节函数,以抑制双核子交换的高动量成分。该计算还扩展到结合Δ(1232)-异巴和Roper共振激发的双π交换。

英文摘要:

Motivated by the recent paper arXiv:2602.11815 [nucl-th], we calculate in these notes the spectral functions (i.e. imaginary parts) of the NN-potentials as they arise from $2π$-exchange with single and double Roper resonance excitation. In contrast to the full one-loop calculation, the spectral functions of the isoscalar and isovector central and tensor potentials can be given in simple analytical form. The pertinent momentum-space potentials $V_C(q), W_C(q), V_T(q), W_T(q)$ are obtained via subtracted dispersion relations. This representation allows also to include a regulator function, that tames high-momentum components of the chiral $2π$-exchange. The calculation is extended to $2π$-exchange with combined $Δ(1232)$-isobar and Roper resonance excitation.

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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