Difference between revisions of "Conservation of Lepton Number"
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| + | ==Key Stage 5== | ||
| + | ===Meaning=== | ||
| + | The law of '''conservation of Lepton Number''' is the observation that in all [[Fundamental Interactions|fundamental interactions]] the sum of [[Lepton]]s and [[Lepton|Anti-lepton]]s is the same before and after the [[Fundamental Interaction|interaction]]. | ||
| + | |||
| + | ===About Conservation of Lepton Number=== | ||
| + | : [[Lepton]]s have a '''Lepton number''' of 1. | ||
| + | : [[Lepton|Anti-lepton]]s have a '''lepton number''' of -1. | ||
| + | : If a [[Lepton]] comes into existence an [[Lepton|Anti-lepton]] must also come into existence. | ||
| + | : '''Conservation of Lepton Number''' can be applied to all [[Fundamental Interactions|fundamental interactions]] to balance the [[Nuclear Equation|equations]] and to ascertain the types of [[Subatomic Particle|particles]] produced. | ||
| + | |||
===Examples=== | ===Examples=== | ||
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Revision as of 10:22, 13 March 2020
Key Stage 5
Meaning
The law of conservation of Lepton Number is the observation that in all fundamental interactions the sum of Leptons and Anti-leptons is the same before and after the interaction.
About Conservation of Lepton Number
- Leptons have a Lepton number of 1.
- Anti-leptons have a lepton number of -1.
- If a Lepton comes into existence an Anti-lepton must also come into existence.
- Conservation of Lepton Number can be applied to all fundamental interactions to balance the equations and to ascertain the types of particles produced.
Examples
| \(p\) | \(+\) | \(\bar\nu_e\) | \(\rightarrow\) | \(n\) | \(+\) | \(\beta^+\) | |
| Charge | \(+1\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Baryon Number | \(+1\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(0\) |
| Lepton Number | \(0\) | \(+\) | \(+1\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| \(n\) | \(+\) | \(\nu_e\) | \(\rightarrow\) | \(p\) | \(+\) | \(\beta^-\) | |
| Charge | \(0\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(-1\) |
| Baryon Number | \(+1\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(0\) |
| Lepton Number | \(0\) | \(+\) | \(+1\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| \(p\) | \(+\) | \(\bar\nu_{\mu}\) | \(\rightarrow\) | \(n\) | \(+\) | \(\mu^+\) | |
| Charge | \(+1\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Baryon Number | \(+1\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(0\) |
| Lepton Number | \(0\) | \(+\) | \(+1\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| \(n\) | \(+\) | \(\nu_{\mu}\) | \(\rightarrow\) | \(p\) | \(+\) | \(\mu^-\) | |
| Charge | \(0\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(-1\) |
| Baryon Number | \(+1\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(0\) |
| Lepton Number | \(0\) | \(+\) | \(+1\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| \(p\) | \(+\) | \(e^-\) | \(\rightarrow\) | \(n\) | \(+\) | \(\nu_e\) | |
| Charge | \(+1\) | \(+\) | \(-1\) | \(=\) | \(0\) | \(+\) | \(0\) |
| Baryon Number | \(+1\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(0\) |
| Lepton Number | \(0\) | \(+\) | \(+1\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| \(p\) | \(+\) | \(\pi^-\) | \(\rightarrow\) | \(K^+\) | \(+\) | \(\Sigma^-\) | |
| Charge | \(+1\) | \(+\) | \(-1\) | \(=\) | \(+1\) | \(+\) | \(-1\) |
| Baryon Number | \(+1\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Lepton Number | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(-1\) |
| \(n\) | \(+\) | \(\pi^-\) | \(\rightarrow\) | \(K^0\) | \(+\) | \(\Sigma^-\) | |
| Charge | \(0\) | \(+\) | \(-1\) | \(=\) | \(0\) | \(+\) | \(-1\) |
| Baryon Number | \(+1\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Lepton Number | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(-1\) |
| \(n\) | \(+\) | \(\pi^+\) | \(\rightarrow\) | \(K^+\) | \(+\) | \(\Sigma^0\) | |
| Charge | \(0\) | \(+\) | \(+1\) | \(=\) | \(+1\) | \(+\) | \(0\) |
| Baryon Number | \(+1\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(+1\) |
| Lepton Number | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(+1\) | \(+\) | \(-1\) |
| \(p\) | \(+\) | \(\bar p\) | \(\rightarrow\) | \(\pi^+\) | \(+\) | \(\pi^-\) | |
| Charge | \(+1\) | \(+\) | \(-1\) | \(=\) | \(+1\) | \(+\) | \(-1\) |
| Baryon Number | \(+1\) | \(+\) | \(-1\) | \(=\) | \(0\) | \(+\) | \(0\) |
| Lepton Number | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| Strangeness | \(0\) | \(+\) | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) |
| \(p\) | \(\rightarrow\) | \(n\) | \(+\) | \(\beta^+\) | \(+\) | \(\nu_e\) | |
| Charge | \(+1\) | \(=\) | \(0\) | \(+\) | \(+1\) | \(+\) | \(0\) |
| Baryon Number | \(+1\) | \(=\) | \(+1\) | \(+\) | \(0\) | \(+\) | \(0\) |
| Lepton Number | \(0\) | \(=\) | \(0\) | \(+\) | \(-1\) | \(+\) | \(+1\) |
| Strangeness | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) | \(+\) | \(0\) |
| \(n\) | \(\rightarrow\) | \(p\) | \(+\) | \(\beta^-\) | \(+\) | \(\bar\nu_e\) | |
| Charge | \(0\) | \(=\) | \(+1\) | \(+\) | \(-1\) | \(+\) | \(0\) |
| Baryon Number | \(+1\) | \(=\) | \(+1\) | \(+\) | \(0\) | \(+\) | \(0\) |
| Lepton Number | \(0\) | \(=\) | \(0\) | \(+\) | \(+1\) | \(+\) | \(-1\) |
| Strangeness | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) | \(+\) | \(0\) |
| \(\mu^+\) | \(\rightarrow\) | \(e^+\) | \(+\) | \(\bar\nu_{\mu}\) | \(+\) | \(\nu_{e}\) | |
| Charge | \(+1\) | \(=\) | \(+1\) | \(+\) | \(0\) | \(+\) | \(0\) |
| Baryon Number | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) | \(+\) | \(0\) |
| Lepton Number | \(-1\) | \(=\) | \(-1\) | \(+\) | \(-1\) | \(+\) | \(+1\) |
| Strangeness | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) | \(+\) | \(0\) |
| \(\mu^-\) | \(\rightarrow\) | \(e^-\) | \(+\) | \(\nu_{\mu}\) | \(+\) | \(\bar\nu_{e}\) | |
| Charge | \(-1\) | \(=\) | \(-1\) | \(+\) | \(0\) | \(+\) | \(0\) |
| Baryon Number | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) | \(+\) | \(0\) |
| Lepton Number | \(+1\) | \(=\) | \(+1\) | \(+\) | \(+1\) | \(+\) | \(-1\) |
| Strangeness | \(0\) | \(=\) | \(0\) | \(+\) | \(0\) | \(+\) | \(0\) |