New near-threshold mesons

Abstract

We show that under a number of rather plausible assumptions QCD spectrum may contain a number of mesons which have not been predicted or observed. Such states will have the quantum numbers of two existing mesons and masses very close to the dissociation threshold into the two mesons. Moreover, at least one of the two mesonic constituents itself must be very close to its dissociation threshold. In particular, one might expect the existence of loosely bound systems of $D$ and $\D$; similarly, $K$ and $\ff$, $\bar{K}$ and $\ff$, $K$ and $\mathring{a}$ and $\bar{K}$ and $\mathring{a}$ can be bound. The mechanism for binding in these cases is the S-wave kaon exchange. The nearness of one of the constituents to its decay threshold into a kaon plus a remainder, implies that the range of the kaon exchange force becomes abnormally long--significantly longer than $1/m_K$ which greatly aids the binding.

5 pages

References in corpus (7)

• Observation of a Narrow Meson Decaying to Ds+pi0 at a Mass of 2.32 GeV/c^2
• Renormalization of the Three-Body System with Short-Range Interactions
• The Three-Boson System with Short-Range Interactions
• Solving the Schroedinger equation for bound states with Mathematica 3.0
• Scalar Mesons in $\varphi$ Radiative Decay: their implications for spectroscopy and for studies of CP-violation at $\varphi$ factories
• Does A Narrow Tetraquark $cc\bar{u}\bar{d}$ State Exist?
• QCD Inequalities

Cited by in corpus (2)

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