The Giant Dipole — the ringing core asked to produce a number

The register's P52 recorded giant resonances as the most direct bridge in the whole haul: strike any nucleus and the entire core rings as one object, measured across the table since 1947. A bridge is words. This paper asks the words to produce a number, using the cheapest honest estimate the cavity picture owns: a dipole slosh across the cavity has wavelength ~2R, so , running at the Fermi velocity of the packed matter — E(cavity) , fm, from the packing density with nothing tuned. Result: the estimate overshoots every measured centroid by a factor between 1.70 and 2.25 — right order, roughly right trend, wrong scale — and both of the reasons are known physics, credited below. [computed for the estimate; null on the scale and on the second term; every mechanism credited] Two fences stated before the table, so they cannot be unsaid: The shape is weak evidence on its own. Any wave confined to a region of size scales as . The shape does not distinguish this picture from any other size-R picture — RULES D11 menu-counting applies in full. The real restoring force of the GDR is the symmetry energy — protons sloshing against neutrons pay an isospin price. That is the Goldhaber–Teller (1948) and Steinwedel–Jensen (1950) account. The bare Fermi-velocity estimate does not contain it and is not credited with it. This record holds one paper on its own and is refreshed every couple of months. The complete deposit, 10.5281/zenodo.21788037, holds every paper with its code and data and is updated first; for the newest version of this paper, go there.