2,926 research outputs found
Wave functions for dynamically generated resonances; the two and
In this work we develop a formalism to evaluate wave functions in momentum
and coordinate space for the resonant states dynamically generated in a unitary
coupled channel approach. The on shell approach for the scattering matrix,
commonly used, is also obtained in Quantum Mechanics with a separable
potential, which allows one to write wave functions in a trivial way. We
develop useful relationships among the couplings of the dynamically generated
resonances to the different channels and the wave functions at the origin. The
formalism provides an intuitive picture of the resonances in the coupled
channel approach, as bound states of one bound channel, which decays into open
ones. It also provides an insight and practical rules for evaluating couplings
of the resonances to external sources and how to deal with final state
interaction in production processes. As an application of the formalism we
evaluate the wave functions of the two states in the , and other coupled channels. It also offers a practical way
to study three body systems when two of them cluster into a resonance.Comment: 5pages, 1 figure. To appear in the proceedings of the International
Workshop on Chiral Symmetry in Hadrons and Nuclei (Chiral10), Valencia,
Spain, Jun 21-24, 201
On the nature of the K*2(1430), K*3(1780), K*4(2045), K*5(2380) and K*6 as K*--multi-rho states
We show that the , , ,
and a not yet discovered resonance are basically molecules made of an
increasing number of and one mesons. The idea relies on
the fact that the vector-vector interaction in s-wave with spins aligned is
very strong both for and . We extend a recent work, where
several resonances showed up as multi- molecules, to the strange
sector including the into the system. The resonant structures show
up in the multi-body scattering amplitudes, which are evaluated in terms of the
unitary two-body vector-vector scattering amplitudes by using the fixed center
approximation to the Faddeev equations
Couplings in coupled channels versus wave functions in the case of resonances: application to the two states
In this paper we develop a formalism to evaluate wave functions in momentum
and coordinate space for the resonant states dynamically generated in a unitary
coupled channel approach. The on shell approach for the scattering matrix,
commonly used, is also obtained in Quantum Mechanics with a separable
potential, which allows one to write wave functions in a trivial way. We
develop useful relationships among the couplings of the dynamically generated
resonances to the different channels and the wave functions at the origin. The
formalism provides an intuitive picture of the resonances in the coupled
channel approach, as bound states of one bound channel, which decays into open
ones. It also provides an insight and practical rules for evaluating couplings
of the resonances to external sources and how to deal with final state
interaction in production processes. As an application of the formalism we
evaluate the wave functions of the two states in the , and other coupled channels.Comment: 23 pages, 3 figures. v2: Added a section to calculate form factor
Exotic atoms and exotic nuclei
We briefly review the study of the exotic atoms and exotic nuclei, and report
recent research activities of eta-mesic nucleus and kaonic atoms in this
article.Comment: 6 pages, 2 figures. Talk given at II Symposium on applied nuclear
physics and innovative technologies, Jagiellonian University, Krakow, Poland,
Acta Physica Polonica B (2015) in pres
Formation of mesic nuclei
We study the structure and formation of the mesic nuclei to
investigate the in-medium modification of the -meson spectral function at
finite density. We consider (), () and ()
reactions to produce a -meson inside the nucleus and evaluate the effects
of its medium modifications to the reaction cross sections. We also estimate
the consequences of the uncertainties of the selfenergy in medium to
the -nucleus interaction. We find that it may be possible to see a peak
structure in the reaction spectra for the strong attractive potential cases. On
the other hand, for strong absorptive interaction cases with relatively weak
attractions, it is very difficult to observe clear peaks and we may need to
know the spectrum shape in a wide energy region to deduce the properties of
.Comment: 11 pages, 8 figure
In--Flight () Reactions for the Formation of Kaonic Atoms and Kaonic Nuclei in Green function method
We study theoretically the kaonic atom and kaonic nucleus formations in the
in--flight () reactions using the Green function method, which is suited
to evaluate formation rates both of stable and unstable bound systems. We
consider C and O as the targets and calculate the spectra of the
() reactions. We conclude that a no peak structure due to kaonic nucleus
formation is expected in the reaction spectra calculated with the chiral
unitary kaon--nucleus optical potential. In the spectra with the
phenomenological deep kaon--nucleus potential, we may have possibilities to
observe some structures due to kaonic nucleus states. For all cases, we have
peaks due to the kaonic atom formations in the reaction spectra.Comment: 10 pages, 9 figures, newly calculated results added, revisions and
updated references, to appear in Physical Review
Formation of Heavy Meson Bound States by Two Nucleon Pick-up Reactions
We develop a model to evaluate the formation rate of the heavy mesic nuclei
in the two nucleon pick-up reactions, and apply it to the Li target cases
for the formation of heavy meson- bound states, as examples. The
existence of the quasi-deuteron in the target nucleus is assumed in this model.
It is found that the mesic nuclei formation in the recoilless kinematics is
possible even for heavier mesons than nucleon in the two nucleon pick-up
reactions. We find the formation rate of the meson- bound states can be
around half of the elementary cross sections at the recoilless kinematics with
small distortions.Comment: 1 table, 10 figures, 8 page
Experimental status of deeply bound kaonic states in nuclei
We review recent claims of the existence of deeply bound kaonic states in
nuclei. Also we study in details the (K-,p) reaction on C12 with 1 GeV/c
momentum kaon beam, based on which a deep kaon nucleus optical potential was
claimed in [1]. In our Monte Carlo simulation of this reaction we include not
only the quasi-elastic K- p scattering, as in [1], but also K- absorption by
one and two nucleons followed by the decay of the hyperon in pi N, which can
also produce strength in the region of interest. The final state interactions
in terms of multiple scattering of the K-, p and all other primary particles on
their way out of the nucleus is also considered. We will show that all these
additional mechanisms allow us to explain the observed spectrum with a
"standard" shallow kaon nucleus optical potential obtained in chiral models.
[1] T. Kishimoto et al., Prog. Theor. Phys. 118, 181 (2007).Comment: 5 pages, 3 figures. To be published in the Proceedings of the
International Workshop on Chiral Symmetry in Hadrons and Nuclei (Chiral10),
Valencia, Spain, June 21-24, 201
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