Decay rho->eta + pion is forbidden.why?

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In summary, the decay of rho into eta and pion is forbidden due to violation of G-parity. The violation of G-parity is due to weak interactions and is further suppressed by the small isospin violation in the strong interaction. The conservation of strangeness also plays a role in this decay.
  • #1
nur.alifah
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decay rho-->eta + pion is forbidden.why?

is it only violation of charge conjugate or its not conserve the energy & momentum.
 
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  • #2


It violates G-parity.

C is not a good symmetry for charged particles.
 
  • #3


Vanadium 50 said:
It violates G-parity.

C is not a good symmetry for charged particles.

To expand a bit on this (and please feel free to correct me if I am wrong), G-parity is conserved in strong interactions but not in weak or electromagnetic. So, [tex]\rho \rightarrow \pi\pi[/tex] dominates the decay of a rho since it is a strong decay, but the decay [tex] \rho \rightarrow \eta \pi [/tex] should still be allowed for a weak process, albeit suppressed in comparison to the 2 pion channel due to phase space considerations.
 
  • #4


Yes, but weak decays are suppressed by the couplings. You'll be down 10, 12 maybe 15 orders of magnitude. The small isospin violation in the strong interaction is probably more important.
 
  • #5


the strangeness is conserve,
so,is it only the isospin violate make this decay forbidden?
 
  • #6


It is only the G parity. The decay occurs via the EM interaction, with an intermediate virtual photon.
 

1. Why is the decay rho->eta + pion forbidden?

The decay rho->eta + pion is forbidden because it violates the conservation of charge and strangeness. The rho meson has a charge of +1 and a strangeness of 0, while the eta meson has a charge of 0 and a strangeness of 0. The pion has a charge of 0 and a strangeness of 0, so the total charge and strangeness on both sides of the decay equation are not conserved.

2. Can the decay rho->eta + pion occur through higher order processes?

Yes, the decay rho->eta + pion can occur through higher order processes such as the rho meson decaying into a virtual particle, which then decays into the eta and pion. However, these processes have a much lower probability and are therefore highly suppressed.

3. What other decays are forbidden due to conservation laws?

There are many other decays that are forbidden due to conservation laws, such as the decay of a proton into a positron and a neutral pion, or the decay of a neutron into an electron and a neutral kaon. These decays violate the conservation of baryon number and/or lepton number.

4. Are there any exceptions to the conservation laws in particle decays?

Yes, there are some rare cases where the conservation laws can be violated, such as in decays involving neutrinos or in certain decays involving the weak interaction. These exceptions are allowed by the laws of quantum mechanics and are known as "flavor-changing" processes.

5. How do scientists study forbidden decays?

Scientists study forbidden decays by looking for indirect evidence of their occurrence, such as measuring the lifetime of the particle or studying the decay products. They also use theoretical models and calculations to predict the probability of these decays occurring and compare them to experimental data. Additionally, advanced techniques and high-energy particle accelerators are used to produce and study these rare decays in controlled laboratory settings.

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