Phenomenological potentials and exchange of force carriers

In summary: This exchange of particles and charges is what defines the nuclear force as an exchange force. In contrast, the first case mentioned is more abstract and related to the symmetry of the system, rather than a physical exchange of particles.
  • #1
crick
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Consider a proton-neutron system.

Phenomenlogical nucleon-nucleon potentials contain exchange forces terms (Majorana, Bartlett and Heisenberg terms), which are linked to the symmetry of the state w.r.t. (for example) the exchange of isospin (i.e. charge).

On the other hand proton and neutron can interact exchanging a pion (in the Yukawa theory) and exchange their charges: if proton and neutron collide they can exchange their charges because of the exchange of a charged pion. In this sense the interaction between neutron and proton (nuclear force) can be defined as an exchange force (because of the exchange of the pion, as described here https://en.wikipedia.org/wiki/Exchange_force#Exchange_of_force_carriers_in_particle_physics).

I'm quite confused about the term "exchange", in particular in the first case: what is "exchanged" when we talk about exchange force in the case of nuclear force? Is the exchange related to the symmetry of the system (as in first case) or to the physical exchange of a particle (Yukawa meson)?
 
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  • #2
The exchange force in the case of nuclear forces is related to the exchange of a particle, usually a pion. The Majorana, Bartlett, and Heisenberg exchange forces terms are all related to the exchange of isospin, which is an internal quantum number associated with the proton and neutron. When a proton and neutron interact, they exchange isospin, as well as exchanging a pion, which carries charge and is responsible for the charge-charge interaction between them.
 

1. What are phenomenological potentials?

Phenomenological potentials are mathematical functions used in theoretical physics to describe the interactions between particles at a quantum level. They are used to calculate the probability of a particle interacting with another particle or field.

2. What is the exchange of force carriers?

The exchange of force carriers is a fundamental concept in quantum field theory, where particles interact by exchanging virtual particles known as force carriers. These force carriers are responsible for mediating the four fundamental forces of nature: gravity, electromagnetism, strong nuclear force, and weak nuclear force.

3. How are phenomenological potentials related to the exchange of force carriers?

Phenomenological potentials are used to calculate the strength of the interactions between particles, which are mediated by the exchange of force carriers. The shape of the potential determines the type and strength of the force carrier that is exchanged between particles.

4. What is the significance of studying phenomenological potentials and exchange of force carriers?

Studying phenomenological potentials and the exchange of force carriers allows scientists to understand the fundamental interactions between particles at a quantum level. This knowledge is crucial in developing theories and models that explain the behavior of matter and energy in the universe.

5. How do phenomenological potentials and exchange of force carriers impact our everyday lives?

While the study of phenomenological potentials and exchange of force carriers may seem abstract, these concepts have practical applications in many areas of our lives. For example, understanding these interactions helps us develop new materials, technologies, and medicines, and also contributes to our understanding of the origin and evolution of the universe.

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