Effective Field Theory of Emergent Symmetry Breaking in Deformed Atomic Nuclei

Abstract

Spontaneous symmetry breaking in non-relativistic quantum systems has previously been addressed in the framework of effective field theory. Low-lying excitations are constructed from Nambu-Goldstone modes using symmetry arguments only. We extend that approach to finite systems. The approach is very general. To be specific, however, we consider atomic nuclei with intrinsically deformed ground states. The emergent symmetry breaking in such systems requires the introduction of additional degrees of freedom on top of the Nambu-Goldstone modes. Symmetry arguments suffice to construct the low-lying states of the system. In deformed nuclei these are vibrational modes each of which serves as band head of a rotational band.

References in corpus (4)

• Effective theory for deformed nuclei
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• Rotor Spectra, Berry Phases, and Monopole Fields: from Antiferromagnets to QCD
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• Perspectives on few-body cluster structures in exotic nuclei
• Effective field theory for collective rotations and vibrations of triaxially deformed nuclei
• All-order momentum correlations of three ultracold bosonic atoms confined in triple-well traps: Signatures of emergent many-body quantum phase transitions and analogies with three-photon quantum-optics interference
• Effective field theories for collective excitations of atomic nuclei
• Artificial versus Natural Atoms: The uncanny capability of the many-body Schrödinger equation to produce emergent behavior