Nuclear

Modelled[M] modelled / diagnostic package. Hard n-edge and dual firmness are separate maps. Half-lives FORBIDDEN. Promote of freeze into the public mass table NOT APPROVED.

Nuclear Drip Lines

Diagnostic separation maps for proton and neutron edges — not a free first-principles drip theorem, and not a BE/A island-of-stability claim. [M packaging]

Last updated: 2026-08-11

Reading this entry

The drip-line page separates proton and neutron edges as diagnostic maps on the V4 binding table. A nucleus stays on the proton map while S_p is positive, and the neutron side carries both a soft firmness threshold and a hard freeze edge for large cages.

What this is used for

The superheavy dual-edge package is the full census of these three maps. Separation energies drawn from the public V4 masses tell a reader where the proton edge, the dual firmness, and the hard neutron edge sit.

Walk through

The proton edge is S_p^(PRC-A) > 0, neutron firmness is S_2n^(L1) > 3 MeV, and the hard neutron edge is the first N with S_2n^(fr) ≤ 0 once n_α ≥ 50. The separation is S_2n = B(Z, N) − B(Z, N−2), and free packing saturates at k_cap = n_α. At Fl-298 the coulomb floor is S_2n^(coul) ≈ 3.03 MeV, with the freeze cross near N ≃ 174 inside cages n_α ≥ 50. Dual membership asks S_p^(PRC-A) > 0 together with S_2n^(L1) > 3 MeV. Under that dual3 test Fl-298 stays in at S_2n^(L1) ≈ 3.03 MeV, dual5 uses S_2n^(L1) > 5, and the census is about 285 of 540 proton-bound cells.

Integrity (Wave A, 2026-08-11): Public drip language is a diagnostic stack, not a finished UFT certificate. The stock V4 binding-energy table remains the public mass model. Free-neutron L1 capacity and coulomb freeze are not promoted into the public calculator. Half-lives and production rates are forbidden claims here. There is no stock

peak claim at Fl‑298 as an “island theorem.” The hard edge here is

. It is not the lead horizon

on the nuclide horizon.

Nuclear drip lines mark where nuclei become unbound to nucleon emission. In the V4 programme we separate three maps that must not be collapsed into one slogan:

Proton edge — (Sp-path continuity mode; diagnostic).
Neutron firmness (dual) — global free-neutron L1 capacity with soft threshold (dual3 membership).
Hard neutron edge — first with freeze under topo packaging (B_nA50).

Two-neutron separation (diagnostic books differ)

Why a “simple” hard drip failed

After free-neutron channels saturate under L1, residual at Fl‑298 is essentially coulomb dilution growth, . That floor approaches only as and never hard-crosses by itself. A coulomb freeze past free capacity supplies a hard mechanism (Fl cross near ), but global freeze stresses measured mid-heavy skins — so packaging restricts engagement to large cages ().

Dual membership (dual3) — not freeze S2n > 0

Superheavy region (honest)

Under dual3, Fl‑298 is in the dual set (barely: ) while dual5 () excludes it. On the literature strip, dual3 is Fl-and-above-leaning; Hs–Cn sit below the soft thr. Hard freeze already places Fl past while dual firmness can still hold — the two maps disagree by design.

Full three-map package, window census (dual3 ≈ 285/540 p-bound cells in the scan window), and forbidden claims: SHE dual-edge package.

Integrity status: Modelled [M]

Not a free theorem of experimental drip lines.
Not a BE/A island-of-stability theorem at (114,184).
Half-lives / widths: FORBIDDEN on this page.
L1 + freeze: diagnostic packaging only — not public mass-table promote.

Source Documents

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