Marcelo Takeshi Yamashita

Radii in weakly-bound light halo nuclei

Abstract A systematic study of the root-mean-square distance between the constituents of weakly-bound nuclei consisting of two halo neutrons and a core is performed using a renormalized zero-range model. The radii are obtained from a universal scaling function that depends on the mass ratio of the neutron and the core, as well as on the nature of the subsystems, bound or virtual. Our calculations are qualitatively consistent with recent data for the neutron–neutron root-mean-square distance in the halo of 11 Li and 14 Be nuclei.

Four-boson scale near a Feshbach resonance

We show that an independent four-body momentum scale μ(4) drives the tetramer binding energy for fixed trimer energy (or three-body scale μ(3)) and large scattering length (a). The three- and four-body forces from the one-channel reduction of the atomic interaction near a Feshbach resonance disentangle μ(4) and μ(3). The four-body independent scale is also manifested through a family of Tjon lines, with slope given by μ(4)/μ(3) for a−1 = 0. There is the possibility of a new renormalization group limit cycle due to the new scale.

Scaling limit of virtual states of triatomic systems

Laboratorio do Acelerador Linear Instituto de Fisica Universidade de Sao Paulo, Caixa Postal 66318, CEP 05315-970, Sao Paulo

Constraints on two-neutron separation energy in the Borromean 22C nucleus

Abstract The recently extracted matter radius of carbon isotope 22C allows us to estimate the mean-square distance of a halo neutron with respect to the center-of-mass of this nucleus. By considering this information, we suggest an energy region for an experimental investigation of the unbound 21C virtual state. Our analysis, in a renormalized zero-ranged three-body model, also indicates that the two-neutron separation energy in 22C is expected to be found below ∼ 0.4 MeV , where the 22C is approximated by a Borromean configuration with a pointlike 20C and two s-wave halo neutrons. A virtual-state energy of 21C close to zero, would make the 22C, within Borromean nuclei configurations, the most promising candidate to present an excited bound Efimov state or a continuum three-body resonance.

Triatomic continuum resonances for large negative scattering lengths

We study triatomic systems in the regime of large negative scattering lengths which may be more favorable for the formation of condensed trimers in trapped ultracold monoatomic gases as the competition with the weakly bound dimers is absent. The manipulation of the scattering length can turn an excited weakly bound Efimov trimer into a continuum resonance. Its energy and width are described by universal scaling functions written in terms of the scattering length and the binding energy

Comment on "Efimov states and their fano resonances in a neutron-rich nucleus".

{B}_{3}

Universality of Brunnian (N-body Borromean) four- and five-body systems

of the shallowest triatomic molecule. For

Neutron–19C scattering near an Efimov state

{a}^{\ensuremath{-}1}l\ensuremath{-}0.0297\sqrt{m{B}_{3}∕{\ensuremath{\hbar}}^{2}}

Trajectory of neutron–neutron–18C excited three-body state

, the excited Efimov state turns into a continuum resonance.

The force, power, and energy of the 100 meter sprint

A Comment on the Letter by I. Mazumdar, A. R. P. Rau, and V. S. Bhasin, [Phys. Rev. Lett. 97, 062503 (2006)]. The authors of the Letter offer a Reply.