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The Standard Model of particle physics, augmented with neutrino mixing, is atleast very nearly the complete theory of interactions of known particles atenergies accessible to Nature on Earth. Candidate effective theories of nuclearstructure must therefore reflect SM symmetries, especially the chiral global$SU(2)_L \times SU(2)_R$ symmetry of two-massless-quark QCD. For ground-statenuclei, SU(2) chiral perturbation theory (XPT) enables perturbation in inversepowers of $\Lambda_{XSB}\simeq 1 GeV$, with analytic operators renormalized toall loop orders. We show that pion-less "Static Chiral Nucleon Liquids" (SXNL)emerge as a liquid phase of SU(2) XPT of protons, neutrons and 3Nambu-Goldstone boson pions. Far-IR pions decouple from SXNL, simplifying thederivation of saturated nuclear matter and microscopic liquid drops(ground-state nuclides). We trace to the global symmetries oftwo-massless-quark QCD the power of pion-less SU(2) XPT to capture experimentalground-state properties of certain nuclides with even parity, spin zero, evenproton number Z, and neutron number N.  We derive the SXNL effective SU(2) XPT Lagrangian, including all order$\Lambda_{XSB},\Lambda^0_{XSB}$ operators. These include: all 4-nucleonoperators that survive Fierz rearrangement in the non-relativistic limit, andeffective Lorentz-vector iso-vector neutral "$\rho$-exchange" operators. SXNLmotivate nuclear matter as non-topological solitons at zero pressure: theNuclear Liquid Drop Model and Bethe-Weizsacker Semi-Empirical Mass Formulaemerge in an explicit Thomas-Fermi construction provided in the companionpaper. For chosen nuclides, nuclear Density Functional and Skyrme models arejustified to order $\Lambda_{\chi SB}^0$. We conjecture that inclusion ofhigher order operators will result in accurate "natural" Skyrme, No-Core-Shell,and neutron star models.

Nuclides as a liquid phase of $SU(2)_L \times SU(2)_R$ chiral perturbation theory I: emergence of pion-less SU(2) $\chi$ PT