   Chapter 11, Problem 45P ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185

#### Solutions ### University Physics Volume 3

17th Edition
William Moebs + 1 other
ISBN: 9781938168185
Textbook Problem

# Express the β decays n → p + e − + v − and p → n + e + + v in terms of β decays of quarks. Check to see that the conservation laws for charge, lepton number, and baryon number are satisfied by the quark β decays.

To determine

Whether conservation laws for a charge, lepton number and baryon number are satisfied by the quark β decays

Explanation

Given:

Considering the β decay

np+e+ν¯

In terms of β decay of quarks, we can write it as

d=u+e+ν¯

Formula used:

Conservation of laws are applied for the given reaction. Before and after the reaction, the total baryon and lepton number should be same.

Calculation:

Considering the β decay pn+e++ν¯

Applying conservation laws,

For charge, (1/3) =2/3+(1) +0

For Lepton number, 0=0+(+1)+(1)

For Baryon number, (1/

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