Mesoscopic chemical potentials across the (hyper)nuclear landscape
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908816131489792 |
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| author | Noronha-Hostler, Jacquelyn |
| author_facet | Noronha-Hostler, Jacquelyn |
| contents | Finite nuclei constrain the dense-matter equation of state (EOS), yet they are self-bound quantum droplets far from the thermodynamic limit. Motivated by an analogy to quantum dots, we show that the nuclear chart nevertheless defines a mesoscopic regime in which mesoscopic chemical-potential analogs $\{μ_B,μ_Q,μ_S\}$ can be extracted directly from nuclear and hypernuclear binding energies after consistent Coulomb subtraction. These are discrete finite-difference response functions -- local slopes of the strong-interaction energy landscape -- not equilibrium grand-canonical chemical potentials. The nuclear chart itself supplies an "ensemble of nearby droplets": finite differences across neighboring nuclei suppress shell- and pairing-scale oscillations while retaining the smooth bulk trend, producing robust slopes without a macroscopic limit. Thus, the data provide empirical local derivatives that any strangeness-enabled EOS must reproduce near saturation. Mapping the measured (hyper)nuclear landscape at $T\simeq 0$, we find smooth, numerically stable responses, including a large, negative strangeness chemical-potential analog, and we identify specific hypernuclear measurements that can directly test and sharpen these EOS constraints. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_05824 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Mesoscopic chemical potentials across the (hyper)nuclear landscape Noronha-Hostler, Jacquelyn Nuclear Theory High Energy Astrophysical Phenomena Nuclear Experiment Finite nuclei constrain the dense-matter equation of state (EOS), yet they are self-bound quantum droplets far from the thermodynamic limit. Motivated by an analogy to quantum dots, we show that the nuclear chart nevertheless defines a mesoscopic regime in which mesoscopic chemical-potential analogs $\{μ_B,μ_Q,μ_S\}$ can be extracted directly from nuclear and hypernuclear binding energies after consistent Coulomb subtraction. These are discrete finite-difference response functions -- local slopes of the strong-interaction energy landscape -- not equilibrium grand-canonical chemical potentials. The nuclear chart itself supplies an "ensemble of nearby droplets": finite differences across neighboring nuclei suppress shell- and pairing-scale oscillations while retaining the smooth bulk trend, producing robust slopes without a macroscopic limit. Thus, the data provide empirical local derivatives that any strangeness-enabled EOS must reproduce near saturation. Mapping the measured (hyper)nuclear landscape at $T\simeq 0$, we find smooth, numerically stable responses, including a large, negative strangeness chemical-potential analog, and we identify specific hypernuclear measurements that can directly test and sharpen these EOS constraints. |
| title | Mesoscopic chemical potentials across the (hyper)nuclear landscape |
| topic | Nuclear Theory High Energy Astrophysical Phenomena Nuclear Experiment |
| url | https://arxiv.org/abs/2602.05824 |