187 research outputs found
Three-boson recombination at ultralow temperatures
The effects of trimer continuum resonances are considered in the three-body
recombination rate of a Bose system at finite energies for large and negative
two-body scattering lengths (). The thermal average of the rate allows to
apply our formula to Bose gases at ultra-low temperatures. We found a good
quantitative description of the experimental three-body recombination length of
cesium atoms to deeply bound molecules up to 500 nK. Consistent with the
experimental data, the increase of the temperature moves the resonance peak of
the three-body recombination rate to lower values of exhibiting a
saturation behavior
Universality in Four-Boson Systems
We report recent advances on the study of universal weakly bound four-boson
states from the solutions of the Faddeev-Yakubovsky equations with zero-range
two-body interactions. In particular, we present the correlation between the
energies of successive tetramers between two neighbor Efimov trimers and
compare it to recent finite range potential model calculations. We provide
further results on the large momentum structure of the tetramer wave function,
where the four-body scale, introduced in the regularization procedure of the
bound state equations in momentum space, is clearly manifested. The results we
are presenting confirm a previous conjecture on a four-body scaling behavior,
which is independent of the three-body one. We show that the correlation
between the positions of two successive resonant four-boson recombination peaks
are consistent with recent data, as well as with recent calculations close to
the unitary limit. Systematic deviations suggest the relevance of range
corrections.Comment: Accepted for publication in special issue of Few-Body Systems devoted
to the Sixth Workshop on the Critical Stability of Quantum Few-Body Systems,
October 2011, Erice, Sicily, Ital
NeutronC scattering near an Efimov state
The low-energy neutronC scattering in a neutron-neutron-core model is
studied with large scattering lengths near the conditions for the appearance of
an Efimov state. We show that the real part of the elastic wave phase-shift
() presents a zero, or a pole in , when the
system has an Efimov excited or virtual state. More precisely the pole scales
with the energy of the Efimov state (bound or virtual). We perform calculations
in the limit of large scattering lengths, disregarding the interaction range,
within a renormalized zero-range approach using subtracted equations. It is
also presented a brief discussion of these findings in the context of ultracold
atom physics with tunable scattering lengths
Neutron-19C scattering: Emergence of universal properties in a finite range potential
AbstractThe low-energy properties of the elastic s-wave scattering for the n-19C are studied near the critical condition for the occurrence of an excited Efimov state in n–n-18C. It is established to which extent the universal scaling laws, strictly valid in the zero-range limit, survive when finite range potentials are considered. By fixing the two-neutrons separation energy in 20C with available experimental data, it is studied the scaling of the real (δ0R) and imaginary parts of the s-wave phase-shift with the variation of the n-18C binding energy. We obtain some universal characteristics given by the pole-position of kcot(δ0R) and effective-range parameters. By increasing the n-18C binding energy, it was verified that the excited state of 20C goes to a virtual state, resembling the neutron–deuteron behavior in the triton. It is confirmed that the analytical structure of the unitary cut is not affected by the range of the potential or mass asymmetry of the three-body system
Dimer-atom-atom recombination in the universal four-boson system
The dimer-atom-atom recombination process in the system of four identical
bosons with resonant interactions is studied. The description uses the exact
Alt, Grassberger and Sandhas equations for the four-particle transition
operators that are solved in the momentum-space framework. The dimer-dimer and
atom-trimer channel contributions to the ultracold dimer-atom-atom
recombination rate are calculated. The dimer-atom-atom recombination rate
greatly exceeds the three-atom recombination rate.Comment: 10 pages, 3 figures, accepted for publication in Few-Body System
Scaling predictions for radii of weakly bound triatomic molecules
The mean-square radii of the molecules He, HeLi,
HeLi and HeNa are calculated using a three-body model
with contact interactions. They are obtained from a universal scaling function
calculated within a renormalized scheme for three particles interacting through
pairwise Dirac-delta interaction. The root-mean-square distance between two
atoms of mass in a triatomic molecule are estimated to be of de order of
, where is the dimer and the
trimer binding energies, and is a constant (varying from
to ) that depends on the ratio between and . Considering
previous estimates for the trimer energies, we also predict the sizes of
Rubidium and Sodium trimers in atomic traps.Comment: 7 pages, 2 figure
Efimov Trimers near the Zero-crossing of a Feshbach Resonance
Near a Feshbach resonance, the two-body scattering length can assume any
value. When it approaches zero, the next-order term given by the effective
range is known to diverge. We consider the question of whether this divergence
(and the vanishing of the scattering length) is accompanied by an anomalous
solution of the three-boson Schr\"odinger equation similar to the one found at
infinite scattering length by Efimov. Within a simple zero-range model, we find
no such solutions, and conclude that higher-order terms do not support Efimov
physics.Comment: 8 pages, no figures, final versio
Low-Energy Universality in Atomic and Nuclear Physics
An effective field theory developed for systems interacting through
short-range interactions can be applied to systems of cold atoms with a large
scattering length and to nucleons at low energies. It is therefore the ideal
tool to analyze the universal properties associated with the Efimov effect in
three- and four-body systems. In this "progress report", we will discuss recent
results obtained within this framework and report on progress regarding the
inclusion of higher order corrections associated with the finite range of the
underlying interaction.Comment: Commissioned article for Few-Body Systems, 47 pp, 16 fig
The ^4He trimer as an Efimov system
We review the results obtained in the last four decades which demonstrate the
Efimov nature of the He three-atomic system.Comment: Review article for a special issue of the Few-Body Systems journal
devoted to Efimov physic
Probing the DeltaNN component of 3He
The 3He(gamma,pi^+/- p) reactions were measured simultaneously over a tagged
photon energy range of 800<E_gamma<1120 MeV, well above the Delta resonance
region. An analysis was performed to kinematically isolate Delta knockout
events from conventional Delta photoproduction events, and a statistically
significant excess of pi+p events was identified, consistent with Delta++
knockout. Two methods were used to estimate the DeltaNN probability in the 3He
ground state, corresponding to the observed knockout cross section. The first
gave a lower probability limit of 1.5+/-0.6+/-0.5%; the second yielded an upper
limit of about 2.6%.Comment: 14 page
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