PaperPanorama

Nuclear Theory·nucl-th

Friday·August 14, 2020

7 papers4 primary·3 cross-listed

  1. 01

    Emergent Sp(3,R) dynamical symmetry in the nuclear many-body system from an ab initio description

    A. E. McCoy · M. A. Caprio · T. Dytrych · P. J. Fasano

    Ab initio nuclear theory provides not only a microscopic framework for quantitative description of the nuclear many-body system, but also a foundation for deeper understanding of emergent collective correlations. A symplectic Sp(3,R)U(3) dynamical symmetry is identified in ab initio predictions, from a no-core configuration interaction approach, and found to provide a qualitative understanding of the spectrum of 7Be. Low-lying states form an Elliott SU(3) spectrum, while an Sp(3,R) excitation gives rise to an excited rotational band with strong quadrupole connections to the ground state band.

    nucl-thPRL(2020)·37 citations
  2. 02

    Catalysis of Transmutations by Heavy Electron Quasiparticles in Crystallites

    Anthony Zuppero · Thomas J. Dolan

    This article describes our hypothesis on how transmutations may be induced by solid state effects in a crystalline lattice. We discuss the chemical reaction case, our extension to the nuclear binding case, and a tri-body model of a heavy electron quasiparticle catalyzing the binding of two nearby ions. For a given primary reaction we can estimate the required electron mass threshold m*, identify possible reaction products, estimate tunneling probabilities, and calculate energies available for each path. We compare model predictions with experimental data of transmutations, and consider hazards associated with experiments.

    nucl-thcond-mat.mtrl-sci0 citations
  3. 03

    Simulating core excitation in breakup reactions of halo nuclei using an effective three-body force

    P. Capel · D. R. Phillips · H.-W. Hammer

    We extend our previous calculation of the breakup of 11Be using Halo Effective Field Theory and the Dynamical Eikonal Approximation to include an effective 10Be-n-target force. The force is constructed to account for the virtual excitation of 10Be to its low-lying 2+ excited state. In the case of breakup on a 12C target this improves the description of the neutron-energy and angular spectra, especially in the vicinity of the 11Be 5/2+ state. By fine-tuning the range parameters of the three-body force, a reasonable description of data in the region of the 3/2+ 11Be state can also be obtained. This sensitivity to the three-body force's range results from the structure of the overlap integral that governs the 11Be s-to-d-state transitions induced by the three-body force.

    nucl-thnucl-exPLB(2022)·12 citations
  4. 04

    Microscopic derivation of density functional theory for superfluid systems based on effective action formalism

    Takeru Yokota🇯🇵 · Haruki Kasuya🇯🇵 · Kenichi Yoshida🇯🇵 · Teiji Kunihiro🇯🇵

    Density-functional theory for superfluid systems is developed in the framework of the functional renormalization group based on the effective action formalism. We introduce the effective action for the particle-number and nonlocal pairing densities and demonstrate that the Hohenberg-Kohn theorem for superfluid systems is established in terms of the effective action. The flow equation for the effective action is then derived, where the flow parameter runs from to , corresponding to the non-interacting and interacting systems. From the flow equation and the variational equation that the equilibrium density satisfies, we obtain the exact expression for the Kohn-Sham potential generalized to including the pairing potentials. The resultant Kohn-Sham potential has a nice feature that it expresses the microscopic formulae of the external, Hartree, pairing, and exchange-correlation terms, separately. It is shown that our Kohn-Sham potential gives the ground-state energy of the Hartree-Fock-Bogoliubov theory by neglecting the correlations. An advantage of our exact formalism lies in the fact that it provides ways to systematically improve the correlation part.

    nucl-thcond-mat.supr-conhep-thPTEP(2021)·11 citations

Affiliations

first authorsco-authorsvia INSPIRE