Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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   The Standard Model of particle physics, augmented with neutrino mixing, is at
least very nearly the complete theory of interactions of known particles at
energies accessible to Nature on Earth. Candidate effective theories of nuclear
structure must therefore reflect SM symmetries, especially the chiral global
$SU(2)_L \times SU(2)_R$ symmetry of two-massless-quark QCD. For ground-state
nuclei, SU(2) chiral perturbation theory (XPT) enables perturbation in inverse
powers of $\Lambda_{XSB}\simeq 1 GeV$, with analytic operators renormalized to
all 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 3
Nambu-Goldstone boson pions. Far-IR pions decouple from SXNL, simplifying the
derivation of saturated nuclear matter and microscopic liquid drops
(ground-state nuclides). We trace to the global symmetries of
two-massless-quark QCD the power of pion-less SU(2) XPT to capture experimental
ground-state properties of certain nuclides with even parity, spin zero, even
proton 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-nucleon
operators that survive Fierz rearrangement in the non-relativistic limit, and
effective Lorentz-vector iso-vector neutral "$\rho$-exchange" operators. SXNL
motivate nuclear matter as non-topological solitons at zero pressure: the
Nuclear Liquid Drop Model and Bethe-Weizsacker Semi-Empirical Mass Formula
emerge in an explicit Thomas-Fermi construction provided in the companion
paper. For chosen nuclides, nuclear Density Functional and Skyrme models are
justified to order $\Lambda_{\chi SB}^0$. We conjecture that inclusion of
higher order operators will result in accurate "natural" Skyrme, No-Core-Shell,
and neutron star models.

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The categories of this paper are: hep-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
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The categories of this paper are: math
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat