D-shell mixing in light baryons and its effect on the orbital motion
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909539717087232 |
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| author | Miesch, Nicholas Shuryak, Edward Zahed, Ismail |
| author_facet | Miesch, Nicholas Shuryak, Edward Zahed, Ismail |
| contents | The standard description of the nucleon in the non-relativistic quark model is an $1S,L=0$ state without orbital motion. Yet, there are several indications from phenomenology that an admixture of states with nonzero orbital motion maybe substantial. In this paper we focus on the ``second shell" of the nucleon excitations (D-shell), for which we give a modern description of the wave functions. We follow it by investigating what we call a ``maximal mixing" scenario, assuming a hypothetical long-range tensor force.
We give the explicit wave functions for all states, before and after mixing, and re-assess many predictions such as the magnetic moments, the standard and transitional form-factors from the nucleon to $N^*$. Unexpectedly, in this scenario we can reproduce the long-puzzling features of the Roper resonance $N^*( 1440)$. But even in this extreme case, the
admixture of the $1D,L=2$ state to a nucleon remains significantly smaller
than expected from phenomenology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_13273 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | D-shell mixing in light baryons and its effect on the orbital motion Miesch, Nicholas Shuryak, Edward Zahed, Ismail High Energy Physics - Phenomenology The standard description of the nucleon in the non-relativistic quark model is an $1S,L=0$ state without orbital motion. Yet, there are several indications from phenomenology that an admixture of states with nonzero orbital motion maybe substantial. In this paper we focus on the ``second shell" of the nucleon excitations (D-shell), for which we give a modern description of the wave functions. We follow it by investigating what we call a ``maximal mixing" scenario, assuming a hypothetical long-range tensor force. We give the explicit wave functions for all states, before and after mixing, and re-assess many predictions such as the magnetic moments, the standard and transitional form-factors from the nucleon to $N^*$. Unexpectedly, in this scenario we can reproduce the long-puzzling features of the Roper resonance $N^*( 1440)$. But even in this extreme case, the admixture of the $1D,L=2$ state to a nucleon remains significantly smaller than expected from phenomenology. |
| title | D-shell mixing in light baryons and its effect on the orbital motion |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.13273 |