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Nuclear
Physics Colloquium and Transport Meeting
Venue: Physics Building, Seminar Room 2.116
Time: Thursday, June 11, 4:30 pm (s.t.) (plus
10min for discussion)
Contact: hees@fias.uni-frankfurt.de
The light scalar mesons as tetraquarks
Gernot Eichmann (Justus-Liebig-Universität Gießen)
Among the open questions in light hadron
physics is the nature of the light scalar mesons. Their properties are at
odds with the quark-antiquark assignment, which has supported their
interpretation as possible tetraquark candidates. We have tested the
tetraquark interpretation in the Dyson-Schwinger/Bethe-Salpeter approach.
We solve a genuine four-body equation where quarks interact by gluon
exchange. This is based on previous studies of mesons and baryons which I
will briefly review. For the tetraquark we find a light scalar-isoscalar
state at $m \simeq 400 \; \mathrm{MeV}$. However, it does not behave like
a diquark-antidiquark system but rather like a 'meson molecule'. The
four-quark equation dynamically generates pion poles in the tetraquark
amplitude, which strongly influence its structure and produce a physical
threshold. This suggests that the $\sigma/f_0(500)$ is indeed a four-quark
state, but it is dominated by pion-pion components whereas diquarks are
almost irrelevant. The masses of the multiplet members $\kappa$ and
$a_0/f_0$ follow an analogous pattern.
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