Consider a particle P described by a repetitive chain of events like

$\Psi ^{\sf{P}} = \left( \sf{\Omega}_{1}, \sf{\Omega}_{2}, \sf{\Omega}_{3} \ \ldots \ \right)$

where the sensations in each repeated cycle are objectified as some bundle of quarks such as

$\sf{\Omega} ^{\sf{P}} = \left\{ \sf{q}_{1}, \sf{q}_{2}, \sf{q}_{3} \ \ldots \ \right\}$

Definition: P is called a **weak quantum** if it satisfies all of the following conditions.

- P must be strange. That is, up and down seeds are not completely balanced against each other when distributed between ordinary-quarks and anti-quarks. So $S \ne 0$, strangeness is not neglibible and there is some net internal energy associated with up-quarks that gives P a lot of momentum.
- P has a mass that is imaginary or nil. So P is very different from a Newtonian particle.
- P must be neutral. So $q = 0$ and P is inconspicuous.
- P is a meson with a lepton number of $L = 0$ and a baryon number of $B = 0$.

A particle that satisfies all of these conditions is usually written using the symbol $\sf{w}$. Weak quanta are elusive and difficult to observe. The momentum they carry impart forces that seem to act from a distance. For a specific examples consider the bundles of quarks $\sf{\Omega}$ listed in the following table.

Quark Coefficients |

Particle | u | d | e | g | m | a | t | b | s | c | u | d | e | g | m | a | t | b | s | c |

$\hat{\sf{w}}$ | 4 | 4 | ||||||||||||||||||

$\hat{\sf{w}}_{ \sf{n}}$ | 4 | 6 | 1 | 8 | 6 | 1 | ||||||||||||||

$\sf{w} ( \pi^{\circ} )$ | 4 | 2 | 2 | 2 | 2 | 4 | 2 | 2 | ||||||||||||

$\sf{w} ( \pi^{+} )$ | 4 | 48 | 35 | 44 | 2 | 2 | 3 | 2 | 8 | 4 | 48 | 34 | 43 | 1 | ||||||

$\sf{w} ( \sf{n})$ | 4 | 8 | 48 | 3 | 52 | 3 | 2 | 4 | 48 | 3 | 52 | 4 | 4 | 1 |

The foregoing quark coefficients determine the quantum numbers of weak quanta as shown in the table below.

Characteristics of Weak Quanta |

Particle | σ |
L |
B |
q |
S |
m |

$\hat{\sf{w}}$ | -1 | 0 | ||||

$\hat{\sf{w}}_{ \sf{n}}$ | -0.5 | 0 | ||||

$\sf{w} ( \pi^{\circ} )$ | -1 | imaginary | ||||

$\sf{w} ( \pi^{+} )$ | -1 | imaginary | ||||

$\sf{w} ( \sf{n} )$ | 1 | 1 | imaginary |

For spreadsheets that show how these calculations are done, click here.

Next step: particle decays. |