Are pion and rho related through their spin and mass?

  • Thread starter Phalanx
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In summary, the pion and rho are related, but not identical. The difference lies in their spin, with the pion having a spin of 0 and the rho having a spin of 1. This also affects their classification, with the rho belonging to the class of vector mesons and the pion belonging to the class of pseudo scalar mesons. The difference in their decay processes also suggests that they have different interactions.
  • #1
Phalanx
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0
pion u,anti-d spin = 0 mass = 0.140
rho u,anti-d spin = 1 mass = 0.770


so... are pion and rho the same or related? is the difference in spin what accounts for the difference in the mass or vice versa?
 
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  • #2
I think that the difference lies in the binding energy
 
  • #3
The difference is the spin. The rho belongs to the class of mesons called "vector mesons" and the pions belong to the class deemed "pseudo scalar" mesons. These names just group together the mesons based upon their spin. I suppose you could think of the rho as being some kind of resonant state of the pion like you can think of the Delta as being a kind of resonant state of the nucleon. The main difference between the rho and the pion (other than the spin), from my point of view, is how they decay. The charged pions decay via the weak channel (while the neutral pion decays electromagnetically) but the rho appears to decay through the strong interaction.
hope this helps.
Norm
 

Related to Are pion and rho related through their spin and mass?

1. What is the significance of Poin and rho being almost the same?

The similarity between Poin and rho is important because it suggests a strong correlation between two variables in a statistical analysis. This means that the two variables are closely related and tend to change together.

2. How are Poin and rho calculated?

Poin and rho are both measures of correlation that are calculated using mathematical formulas. Poin is calculated by dividing the covariance of two variables by the product of their standard deviations. Rho, also known as the Pearson correlation coefficient, is calculated by dividing the covariance by the product of the standard deviations, and then multiplying by the inverse of the sample size.

3. Can Poin and rho be used for any type of data?

Yes, Poin and rho can be used for any type of data as long as the data meets certain assumptions. These assumptions include linearity, normality, and independence.

4. What values can Poin and rho take?

Poin values range from -1 to 1, with a value of 0 indicating no correlation, a positive value indicating a positive correlation, and a negative value indicating a negative correlation. Rho values also range from -1 to 1, with 0 indicating no correlation, 1 indicating a perfect positive correlation, and -1 indicating a perfect negative correlation.

5. How can Poin and rho be used in data analysis?

Poin and rho can be used to determine the strength and direction of the relationship between two variables. They can also be used to identify outliers or influential data points that may be affecting the correlation. Additionally, Poin and rho can be used in regression analysis to predict the value of one variable based on the value of another variable.

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