Zero-Frequency Modes: Quantum Shape-Phase Transitions in Nuclei

In summary, the conversation discussed the problem of zero frequencies in many-body systems and its relation to symmetry breaking. The speaker expressed interest in examining this connection in the case of quantum shape-phase transitions in nuclei and mentioned studying the golstone theorem in field theory and particle physics. They also asked for help finding a source on the topic, to which the respondent suggested a paper by D. G. Caldi and A. Chodos titled "Zero Frequency Modes and Symmetry Breaking in Many-Body Systems." This paper discusses the relationship between zero frequency modes and symmetry breaking in many-body systems, with a focus on nuclei and examples of how they can be used to study quantum shape-phase transitions. The paper can be found at the link provided.
  • #1
alireza_mn
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I'm dealing with the problem of zero frequencies in many body system and it's relation with symmetry breaking. I would like to examine this connection in the case of quantum shape-phase transition in nuclei. I've studied this technique (golstone theorem) in field theory as well as Particle physics but I am interested in finding zero-frequency modes in many-body system (such as multiple oscillators which are coupled in a circle or nucleons in finite nuclei ). Please help me to find an appropriate source .
 
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One source you could look at is a paper by D. G. Caldi and A. Chodos, titled "Zero Frequency Modes and Symmetry Breaking in Many-Body Systems." In this paper, the authors discuss the connection between zero frequency modes and symmetry breaking in many-body systems, with a particular focus on nuclei. The paper also provides detailed examples of how these zero frequency modes can be used to study quantum shape-phase transitions. You can find the paper here: https://www.sciencedirect.com/science/article/abs/pii/037015739390052X?via=ihub
 

What are zero-frequency modes?

Zero-frequency modes are collective motions of the nucleus that have no energy associated with them. They are characterized by a constant phase and do not contribute to the excitation energy of the nucleus.

What is a quantum shape-phase transition in nuclei?

A quantum shape-phase transition in nuclei is a change in the shape of the nucleus due to the variation of a control parameter, such as the number of protons or neutrons. This transition is driven by quantum effects and can result in significant changes in the nuclear properties.

What role do zero-frequency modes play in quantum shape-phase transitions?

Zero-frequency modes play a crucial role in quantum shape-phase transitions as they are responsible for the sudden changes in the nuclear shape and properties. They are the driving force behind these transitions and their behavior can provide valuable insights into the underlying physics.

How do scientists study zero-frequency modes and quantum shape-phase transitions in nuclei?

Scientists use various theoretical models and experimental techniques, such as nuclear spectroscopy and nuclear scattering, to study zero-frequency modes and quantum shape-phase transitions in nuclei. These methods allow them to observe and analyze the behavior of these modes and understand the underlying physics.

What are the potential applications of studying zero-frequency modes and quantum shape-phase transitions in nuclei?

Studying zero-frequency modes and quantum shape-phase transitions in nuclei can provide valuable insights into the fundamental properties of nuclear matter. This knowledge can also have practical applications in fields such as nuclear energy, astrophysics, and medicine. It can also contribute to our understanding of the behavior of matter at extreme conditions.

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