682 research outputs found
Can X(3915) be the tensor partner of the X(3872)?
It has been proposed recently (Phys. Rev. Lett. 115 (2015), 022001) that the
charmoniumlike state named X(3915) and suggested to be a scalar, is
just the helicity-0 realisation of the tensor state .
This scenario would call for a helicity-0 dominance, which were at odds with
the properties of a conventional tensor charmonium, but might be compatible
with some exotic structure of the . In this paper, we
investigate, if such a scenario is compatible with the assumption that the
is a molecular state - a spin partner of the
treated as a shallow bound state. We demonstrate that for a tensor
molecule the helicity-0 component vanishes for vanishing binding energy and
accordingly for a shallow bound state a helicity-2 dominance would be natural.
However, for the , residing about 100 MeV below the threshold, there is no a priori reason for a helicity-2 dominance and thus
the proposal formulated in the above mentioned reference might indeed point at
a molecular structure of the tensor state. Nevertheless, we find that the
experimental data currently available favour a dominant contribution of the
helicity-2 amplitude also in this scenario, if spin symmetry arguments are
employed to relate properties of the molecular state to those of the X(3872).
We also discuss what research is necessary to further constrain the analysis.Comment: LaTeX2e, 23 pages, 2 figures, version to appear in JHE
Towards a field theoretic understanding of NN->NNpi
We study the production amplitude for the reaction NN->NNpi up to
next--to--leading order in chiral perturbation theory using a counting scheme
that takes into account the large scale introduced by the initial momentum. In
particular we investigate a subtlety that arises once the leading loop
contributions are convoluted with the NN wavefunctions as demanded by the
non--perturbative nature of the NN interaction. We show how to properly
identify the irreducible contribution of loop diagrams in such type of
reaction. The net effect of the inclusion of all next-to-leading order loops is
to enhance the leading rescattering amplitude by a factor of 4/3, bringing its
contribution to the cross section for pp->dpi+ close to the experimental value.Comment: 15 Pages, 5 Figure
Direct X(3872) production in e+e- collisions
Direct production of the charmonium-like state in
collisions is considered in the framework of the vector meson dominance model.
An order-of-magnitude estimate for the width is found to
be 0.03 eV. The same approach applied to the charmonium
decay predicts the corresponding width of the order 0.1 eV in agreement with
earlier estimates. Experimental perspectives for the direct production of the
charmonia in collisions are briefly discussed.Comment: LaTeX2e, 11 pages, 1 figure, version published in Phys.Lett.
Toy Model for Pion Production II: The role of three-particle singularities
The influence of three-particle breakup singularities on s-wave meson
production in nucleon-nucleon collisions is studied within the distorted wave
Born approximation. This study is based on a simple scalar model for the
two-nucleon interaction and the production mechanism. An algorithm for the
exact numerical treatment of the inherent three-body cuts, together with its
straightforward implementation is presented. It is also shown that two
often-used approximations to avoid the calculation of the three-body breakup
are not justified. The possible impact on pion production observables is
discussed.Comment: 14 pages, 6 figure
Charge symmetry breaking as a probe for the real part of eta--nucleus scattering lengths
We demonstrate that one can use the occurrence of charge symmetry breaking as
a tool to explore the eta--nucleus interaction near the eta threshold. Based on
indications that the cross section ratio of pi+ and pi0 production on nuclei
deviates from the isotopic value in the vicinity of the eta production
threshold, due to, e.g., pi0-eta mixing, we argue that a systematic study of
this ratio as a function of the energy would allow to pin down the sign of the
real part of the eta-nucleus scattering length. This sign plays an important
role in the context of the possible existence of eta-nucleus bound states.Comment: 4 pages, 1 figur
Model-independent approach to eta -> pi+ pi- gamma and eta' -> pi+ pi- gamma
We present a new, model-independent method to analyze radiative decays of
mesons to a vector, isovector pair of pions of invariant mass square below the
first significant pion-pion threshold in the vector channel. It is based on a
combination of chiral perturbation theory and dispersion theory. This allows
for a controlled inclusion of resonance physics without the necessity to
involve vector meson dominance explicitly. As an example, the method is applied
to an analysis of the reactions eta -> pi+ pi- gamma and eta'->pi+ pi- gamma.Comment: 16 pages, 4 figure
Spin partners of the and revisited
We study the implications of the heavy-quark spin symmetry for the possible
spin partners of the exotic states and in the
spectrum of bottomonium. We formulate and solve numerically the coupled-channel
equations for the states that allow for a dynamical generation of these
states as hadronic molecules. The force includes short-range contact terms and
the one-pion exchange potential, both treated fully nonperturbatively. The
strength of the potential at leading order is fixed completely by the pole
positions of the states such that the mass and the most prominent
contributions to the width of the isovector heavy-quark spin partner states
with the quantum numbers () come out as predictions.
Since the accuracy of the present experimental data does not allow one to fix
the pole positions of the 's reliably enough, we also study the pole
trajectories of their spin partner states as functions of the binding
energies. It is shown that, once the heavy-quark spin symmetry is broken by
means of the physical and masses, especially the pion tensor force
has a significant impact on the location of the partner states clearly
demonstrating the need of a coupled-channel treatment of pion dynamics to
understand the spin multiplet pattern of hadronic molecules.Comment: 21 pages, 5 figures, 1 tabl
Role of the Delta(1232) in pion-deuteron scattering at threshold within chiral effective field theory
We investigate the role of the delta isobar in the reaction
at threshold in chiral effective field theory. We discuss the corresponding
power counting and argue that this calculation completes the evaluation of
diagrams up to the order (m_pi/M_N)^(3/2), with m_pi (M_N) for the pion
(nucleon) mass. The net effect of all delta contributions at this order to the
pion-deuteron scattering length is (2.4 +/- 0.4)x 10^(-3) m_pi^{-1}.Comment: 11 page
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