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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2602.18664 |
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| _version_ | 1866908851714916352 |
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| author | Kaiser, Norbert |
| author_facet | Kaiser, Norbert |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_18664 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two-pion exchange nucleon-nucleon potentials with Roper resonance excitation Kaiser, Norbert Nuclear Theory 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. |
| title | Two-pion exchange nucleon-nucleon potentials with Roper resonance excitation |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2602.18664 |