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Conservation of Baryon Number

Contents

Key Stage 5

Meaning

The law of conservation of Baryon number is the observation that in all fundamental interactions the sum of Baryons and anti-baryons is the same before and after the interaction.

About Conservation of Baryon Number

Baryons have a baryon number of 1.
Anti-baryons have a baryon number of -1.
If a Baryon comes into existence an anti-baryon must also come into existence.
Conservation of Baryon Number can be applied to all fundamental interactions to balance the equations and to ascertain the types of particles produced.

Examples

\(p+\bar\nu_e\rightarrow n + \beta^+\)
\(p\) \(+\) \(\bar\nu_e\) \(\rightarrow\) \(n\) \(+\) \(\beta^+\)
Charge \(+1\) \(+\) \(0\) \(=\) \(0\) \(+\) \(+1\)
Baryon Number \(+1\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(0\)
Lepton Number \(0\) \(+\) \(+1\) \(=\) \(0\) \(+\) \(+1\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
\(n+\nu_e\rightarrow p + \beta^-\)
\(n\) \(+\) \(\nu_e\) \(\rightarrow\) \(p\) \(+\) \(\beta^-\)
Charge \(0\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(-1\)
Baryon Number \(+1\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(0\)
Lepton Number \(0\) \(+\) \(+1\) \(=\) \(0\) \(+\) \(+1\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
\(p+\bar\nu_{\mu}\rightarrow n + \mu^+\)
\(p\) \(+\) \(\bar\nu_{\mu}\) \(\rightarrow\) \(n\) \(+\) \(\mu^+\)
Charge \(+1\) \(+\) \(0\) \(=\) \(0\) \(+\) \(+1\)
Baryon Number \(+1\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(0\)
Lepton Number \(0\) \(+\) \(+1\) \(=\) \(0\) \(+\) \(+1\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
\(n+\nu_{\mu}\rightarrow p + \mu^-\)
\(n\) \(+\) \(\nu_{\mu}\) \(\rightarrow\) \(p\) \(+\) \(\mu^-\)
Charge \(0\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(-1\)
Baryon Number \(+1\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(0\)
Lepton Number \(0\) \(+\) \(+1\) \(=\) \(0\) \(+\) \(+1\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
\(p + e^- \rightarrow n + \nu_e\)
\(p\) \(+\) \(e^-\) \(\rightarrow\) \(n\) \(+\) \(\nu_e\)
Charge \(+1\) \(+\) \(-1\) \(=\) \(0\) \(+\) \(0\)
Baryon Number \(+1\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(0\)
Lepton Number \(0\) \(+\) \(+1\) \(=\) \(0\) \(+\) \(+1\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
\(p + \pi^- \rightarrow K^+ + \Sigma^-\)
\(p\) \(+\) \(\pi^-\) \(\rightarrow\) \(K^+\) \(+\) \(\Sigma^-\)
Charge \(+1\) \(+\) \(-1\) \(=\) \(+1\) \(+\) \(-1\)
Baryon Number \(+1\) \(+\) \(0\) \(=\) \(0\) \(+\) \(+1\)
Lepton Number \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(-1\)
\(n + \pi^- \rightarrow K^0 + \Sigma^-\)
\(n\) \(+\) \(\pi^-\) \(\rightarrow\) \(K^0\) \(+\) \(\Sigma^-\)
Charge \(0\) \(+\) \(-1\) \(=\) \(0\) \(+\) \(-1\)
Baryon Number \(+1\) \(+\) \(0\) \(=\) \(0\) \(+\) \(+1\)
Lepton Number \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(-1\)
\(n + \pi^+ \rightarrow K^+ + \Sigma^0\)
\(n\) \(+\) \(\pi^+\) \(\rightarrow\) \(K^+\) \(+\) \(\Sigma^0\)
Charge \(0\) \(+\) \(+1\) \(=\) \(+1\) \(+\) \(0\)
Baryon Number \(+1\) \(+\) \(0\) \(=\) \(0\) \(+\) \(+1\)
Lepton Number \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(+1\) \(+\) \(-1\)
\(p + \bar p \rightarrow \pi^+ + \pi^-\)
\(p\) \(+\) \(\bar p\) \(\rightarrow\) \(\pi^+\) \(+\) \(\pi^-\)
Charge \(+1\) \(+\) \(-1\) \(=\) \(+1\) \(+\) \(-1\)
Baryon Number \(+1\) \(+\) \(-1\) \(=\) \(0\) \(+\) \(0\)
Lepton Number \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
Strangeness \(0\) \(+\) \(0\) \(=\) \(0\) \(+\) \(0\)
\(p\rightarrow n + \beta^+ + \nu_e\)
\(p\) \(\rightarrow\) \(n\) \(+\) \(\beta^+\) \(+\) \(\nu_e\)
Charge \(+1\) \(=\) \(0\) \(+\) \(+1\) \(+\) \(0\)
Baryon Number \(+1\) \(=\) \(+1\) \(+\) \(0\) \(+\) \(0\)
Lepton Number \(0\) \(=\) \(0\) \(+\) \(-1\) \(+\) \(+1\)
Strangeness \(0\) \(=\) \(0\) \(+\) \(0\) \(+\) \(0\)
\(n\rightarrow p + \beta^- + \bar\nu_e\)
\(n\) \(\rightarrow\) \(p\) \(+\) \(\beta^-\) \(+\) \(\bar\nu_e\)
Charge \(0\) \(=\) \(+1\) \(+\) \(-1\) \(+\) \(0\)
Baryon Number \(+1\) \(=\) \(+1\) \(+\) \(0\) \(+\) \(0\)
Lepton Number \(0\) \(=\) \(0\) \(+\) \(+1\) \(+\) \(-1\)
Strangeness \(0\) \(=\) \(0\) \(+\) \(0\) \(+\) \(0\)
\(\mu^+ \rightarrow e^+ + \bar\nu_{\mu}+\nu_{e}\)
\(\mu^+\) \(\rightarrow\) \(e^+\) \(+\) \(\bar\nu_{\mu}\) \(+\) \(\nu_{e}\)
Charge \(+1\) \(=\) \(+1\) \(+\) \(0\) \(+\) \(0\)
Baryon Number \(0\) \(=\) \(0\) \(+\) \(0\) \(+\) \(0\)
Lepton Number \(-1\) \(=\) \(-1\) \(+\) \(-1\) \(+\) \(+1\)
Strangeness \(0\) \(=\) \(0\) \(+\) \(0\) \(+\) \(0\)
\(\mu^- \rightarrow e^- + \nu_{\mu}+\bar\nu_{e}\)
\(\mu^-\) \(\rightarrow\) \(e^-\) \(+\) \(\nu_{\mu}\) \(+\) \(\bar\nu_{e}\)
Charge \(-1\) \(=\) \(-1\) \(+\) \(0\) \(+\) \(0\)
Baryon Number \(0\) \(=\) \(0\) \(+\) \(0\) \(+\) \(0\)
Lepton Number \(+1\) \(=\) \(+1\) \(+\) \(+1\) \(+\) \(-1\)
Strangeness \(0\) \(=\) \(0\) \(+\) \(0\) \(+\) \(0\)