Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-03-25
Phys.Rev.D80:074028,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 3 figures
Scientific paper
10.1103/PhysRevD.80.074028
A definition of `dynamical generation', a hotly debated topic at present, is proposed and its implications are discussed. This definition, in turn, leads to a method allowing to distinguish in principle tetraquark and molecular states. The different concept of `dynamical reconstruction' is also introduced and applies to the generation of preexisting mesons (quark-antiquark, glueballs, >...) via unitarization methods applied to low-energy effective Lagrangians. Large $N_{c}$ arguments play an important role in all these investigations. A simple toy model with two scalar fields is introduced to elucidate these concepts. The large $N_{c}$ behavior of the parameters is chosen in order that the two scalar fields behave as quark-antiquark mesons. When the heavier field is integrated out, one is left with an effective Lagrangian with the lighter field only. A unitarization method applied to the latter allows to `reconstruct' the heavier `quarkonium-like' field, which was previously integrated out. It is shown that a Bethe-Salpeter (BS) analysis is capable to reproduce the preformed quark-antiquark state. However, when only the lowest term of the effective Lagrangian is retained, the large $N_{c}$ limit of the reconstructed state is not reproduced: instead of the correct large $N_{c}$ quarkonium limit, it fades out as a molecular state would do. Implications of these results are presented: it is proposed that axial-vector, tensor and (some) scalar mesons just above 1 GeV obtained via the BS approach from the corresponding low-energy, effective Lagrangian in which only the lowest term is kept, are quarkonia states, in agreement with the constituent quark model, although they might fade away as molecular states in the large $N_{c}$ limit.
No associations
LandOfFree
Dynamical generation and dynamical reconstruction does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamical generation and dynamical reconstruction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamical generation and dynamical reconstruction will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-63916