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Title Symplectic Effective Field Theory for Nuclear Structure Studies
Authors D. Kekejian, J. Draayer, Viktor Mokeev, Craig Roberts
JLAB number JLAB-PHY-22-3659
LANL number arXiv:2204.08642
Other number DOE/OR/23177-5538
Document Type(s) (Journal Article) 
Associated with EIC: No
Supported by Jefferson Lab LDRD Funding: No
Funding Source: Nuclear Physics (NP)
 

Journal
Compiled for Physical Review C
Volume 106
Page(s) 014304
Refereed
Publication Abstract: A Symplectic Effective Field Theory that unveils the observed emergence of symplectic symmetry in atomic nuclei is advanced. Specifically, starting from a simple extension of the harmonic-oscillator Lagrangian, an effective field theory applied against symplectic basis states is shown to yield a Hamiltonian system with one fitted parameter. The scale of the system can be determined self consistently as the ratio of the average volume of a nucleus assumed to be spherical to its volume as determined by the average number of oscillator quanta, which is stretched by the fact that the plane-wave solution satisfies the equations of motion at every order without the need for perturbative corrections. As an application of the theory, results for 20Ne, 22Ne and 22Mg are presented that yield energy spectra, B(E2) values, and matter radii in good agreement with experimentally measured results.
Experiment Numbers:
Group: Hall B
Document: pdf
DOI: https://doi.org/10.1103/PhysRevC.106.014304
Accepted Manuscript: 2204.08642.pdf
Supporting Documents:
Supporting Datasets: