Proton and Delta Resonance Transitions in Quantized Superfluid Model
n | Predicted Energy (MeV) | Possible J^P | Possible Match (Particle) | Measured Mass (MeV) | Match Quality |
---|---|---|---|---|---|
3 | 204 | 1/2+ | None | - | Poor (below proton mass) |
4 | 938 | 1/2+ | N(938), Proton | 939 | Exact |
4 | 1232 | 3/2+ | Ξ(1232) | 1232 ± 2 | Exact |
5 | 1440 | 1/2+ | N(1440) | 1440 (1420–1470) | Close |
6 | 1710 | 1/2+ | N(1710) | 1710 (1680–1740) | Close |
7 | 1748 | 1/2+ | Possible N(1880) or Ξ(1900) | ~1880 or ~1900 | Tentative |
8 | 1742 | 1/2+ | Possible Ξ(1920) | ~1920 | Tentative |
9 | 1722 | 1/2+ | Possible N(1720) | 1720 (1700–1750) | Tentative |
10 | 1688 | 1/2+ | Possible N(1680) | 1685 (1680–1690) | Tentative |
Notes: Predicted energies for J=1/2+ are from the fit E_n = -3390 + 1546n - 116n^2 MeV. Spin excitations (e.g., J=3/2+) add rotational energy, with Ξ(1232) at n=4, J=3/2+ as a key example. Match quality reflects proximity to measured ranges and experimental status.
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