Properties of chiral nucleon-nucleon interaction at N$^3$LO with high cutoffs studied by local projection
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866916110166654976 |
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| author | Shang, Haoyu Hu, Rongzhe Pei, Junchen Xu, Furong |
| author_facet | Shang, Haoyu Hu, Rongzhe Pei, Junchen Xu, Furong |
| contents | The chiral nucleon-nucleon ($NN$) interaction at high cutoffs has been plagued by the presence of spurious bound states. In this work, the chiral $NN$ interaction at N$^3$LO is studied by the local projection method as the cutoff increases. The evolution of short-range behaviors of pion-exchange interactions and contact interactions is intuitively demonstrated. The $P$-channel potentials toward high cutoffs appear to be erratic at short ranges to compromise with phase shifts, while such erratic behaviors can be avoided in $S$ and $D$ channels. Furthermore, a chiral $NN$ interaction at N$^3$LO is studied at a cutoff of 700 MeV. The properties of deuteron and triton are testified with this interaction. Such a hard interaction is expected to provide an alternative choice for studies of short-range correlations and high density nuclear matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16696 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Properties of chiral nucleon-nucleon interaction at N$^3$LO with high cutoffs studied by local projection Shang, Haoyu Hu, Rongzhe Pei, Junchen Xu, Furong Nuclear Theory The chiral nucleon-nucleon ($NN$) interaction at high cutoffs has been plagued by the presence of spurious bound states. In this work, the chiral $NN$ interaction at N$^3$LO is studied by the local projection method as the cutoff increases. The evolution of short-range behaviors of pion-exchange interactions and contact interactions is intuitively demonstrated. The $P$-channel potentials toward high cutoffs appear to be erratic at short ranges to compromise with phase shifts, while such erratic behaviors can be avoided in $S$ and $D$ channels. Furthermore, a chiral $NN$ interaction at N$^3$LO is studied at a cutoff of 700 MeV. The properties of deuteron and triton are testified with this interaction. Such a hard interaction is expected to provide an alternative choice for studies of short-range correlations and high density nuclear matter. |
| title | Properties of chiral nucleon-nucleon interaction at N$^3$LO with high cutoffs studied by local projection |
| topic | Nuclear Theory |
| url | https://arxiv.org/abs/2401.16696 |