Rotational states in deformed nuclei: An analytic approach

Abstract

The consequences of the spontaneous breaking of rotational symmetry are investigated in a field theory model for deformed nuclei, based on simple separable interactions. The crucial role of the Ward-Takahashi identities to describe the rotational states is emphasized. We show explicitly how the rotor picture emerges from the isoscalar Goldstone modes, and how the two-rotor model emerges from the isovector scissors modes. As an application of the formalism, we discuss the M1 sum rules in deformed nuclei, and make connection to empirical information.

19 pages, 9 figures

References in corpus (3)

• Magnetic dipole excitations in nuclei: elementary modes of nucleonic motion
• Effective theory for deformed nuclei
• Simple condensation of composite bosons in a number conserving approach to many fermion systems

Cited by in corpus (5)

• Effective Field Theory for Finite Systems with Spontaneously Broken Symmetry
• Effective theory for the non-rigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei
• Effective Field Theory of Emergent Symmetry Breaking in Deformed Atomic Nuclei
• Entanglement in the states of the Two-Rotor-Model
• Analytic approach to nuclear rotational states: The role of spin - A minimal model -