An introduction to the quark model
An introduction to the quark model
An introduction to the quark model
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Few-charge systems His<strong>to</strong>ry of <strong>the</strong> <strong>quark</strong> <strong>model</strong> Mesons Baryons Multi<strong>quark</strong>s and o<strong>the</strong>r exotics Outlook<br />
Solving <strong>the</strong> radial equation<br />
−u ′′ ℓ(ℓ + 1)<br />
(r) +<br />
r 2 u(r) + m V (r) u(r) = m E u(r) ,<br />
See, e.g., Hartree, where V (r) was <strong>the</strong> effective one-body<br />
potential,<br />
Integrate inwards, and outwards, and fix E by imposing continuity<br />
of both u and u ′ at <strong>the</strong> matching point,<br />
Or discretise, and solve an approximatively equivalent matrix<br />
eignevalue equation,<br />
Or use a variational method, e.g.,<br />
u(r) = <br />
i<br />
Ci r ℓ+1 exp(−ai r 2 /2) ,<br />
JMR Quark Model