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Statut Confirmé
Domaines nucl-th
Date Mercredi 26 Juin 2019
Heure 11:30
Institut IPN
Salle Bâtiment 100, Salle A015
Nom de l'orateur Lynn
Prenom de l'orateur Bryan W.
Addresse email de l'orateur
Institution de l'orateur Physics/CERCA/ISO, CWRU, Cleveland, OH, 44106 USA
Titre Heavy nuclides as a liquid phase of $SU(2)_L \times SU(2)_R$ chiral perturbation theory: Emergence of semi-classical pion-less $SU(2) \chi$PT.
Résumé Effective theories of nuclear structure must reflect the chiral global $SU(2)_L \times SU(2)_R$ symmetry of two-massless-quark QCD. Naive power counting enables perturbation/truncation in inverse powers of $\Lambda_{\chi^{SB}} \approx 1 $GeV, with analytic operators renormalized to all loop orders. We show that $SU(2)\,\chi$PT admits a "liquid" phase, with energy required to increase or decrease the density of constituents. "Semi- classical Pion-less" $SU(2)\,\chi$PT emerges in the chiral liquid, vastly simplifying the derivation of saturated nuclear matter (the infinite liquid phase) and of finite microscopic liquid drops (ground-state heavy nuclides). Static Chiral Nucleon Liquids (Static $\chi$NL) are made entirely of nucleons, have even parity; total spin zero; even proton number $Z$, and neutron number $N$; and are arranged so local expectation values for spin and momenta vanish.\newline We derive the Static $\chi$NL effective Lagrangian, to order $\Lambda_{\chi^{SB}}$ and $\Lambda_{\chi^{SB}}^0$. Static $\chi$NL motivate nuclear matter, seen as non-topological solitons at zero internal and external pressure: the Nuclear Liquid Drop Model and Bethe-Weizsäcker Semi- Empirical Mass Formula emerge in an explicit Thomas-Fermi construction. For chosen nuclides, semi-classical nuclear Skyrme models are justified. We conjecture that inclusion of $\Lambda_{\chi^{SB}}^{-1}$ and $\Lambda_{\chi^{SB}}^{-2}$ operators will result in "natural" semi-classical Skyrme, No-Core-Shell, and non-exotic neutron star models, with approximate liquid structure.
Numéro de preprint arXiv
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Fichiers attachés
  • 2019_06_26_B_Lynn.pdf (232258 bytes) OPEN

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