The Lambda Baryon

We describe lambda baryons using chains of events that represent the particle in its ground-state

\mbox{\fontsize{14}{18}\selectfont $ \Psi ^{\sf{\Lambda}} = \left( \sf{\Omega}_{0} , \sf{\Omega}_{1} , \sf{\Omega}_{2} \ \ldots \ \sf{\Omega}_{\it{j}} \ \ldots \ \right) $}

where each repeated event Ω is composed of the following quarks

Quark Coefficients
Lambda u d e g m a t b s c u d e g m a t b s c
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Lambda} $} 4 4 22 51 58 1 1 6 7 4 22 15 22 10 6 11 8
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{\Lambda}} $} 4 22 15 22 10 6 11 8 4 4 22 51 58 1 1 6 7

We visualize the lambda as having a core of rotating and baryonic quarks that determine the charge and angular momentum. This core is surrounded by a multitude of leptonic quarks that define the particle's electromagnetic field. Here is a schematic picture of the core, leptonic quarks are not included.

c c c c c c
c c t t t t c c
c t t b u u u c
c t t b u u u c
c t t b u d d c
s s t b u d d s
s s s b b b s s
s s s s s s s s

The quark coefficients determine the quantum numbers as

Lambda σ L B q S
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Lambda} $} 0.5 1 -1
\mbox{\fontsize{14}{18}\selectfont $ \overline{\sf{\Lambda}} $} 0.5 -1 1

The mass is calculated and compared with laboratory observations

Lambda calculated
mass (MeV)
observed
mass (MeV)
observed
uncertainty
ok? m%
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Lambda} $} 1,115.679 1 1,115.683 ±0.006 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} -0.0003
\mbox{\fontsize{14}{18}\selectfont $ \overline{ \sf{\Lambda}} $} 1,115.679 1

The lifetime is found as

Lambda calculated
lifetime
observed
lifetime
observed
uncertainty
units
(s)
ok? τ%
\mbox{\fontsize{14}{18}\selectfont $ \sf{\Lambda} $} 2.643 2.63 ±0.02 x10-10 \definecolor{green}{rgb}{0.2,0.5,0.2} \color{green} \large{\pmb{\surd}} +0.4
\mbox{\fontsize{14}{18}\selectfont $ \overline{ \sf{\Lambda}} $} 2.643 x10-10

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

Page tags: lambda-baryon
page_revision: 22, last_edited: 1278539403|%e %b %Y, %H:%M %Z (%O ago)
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