Cold-atom–dimer reaction rates with 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>He</mml:mi><mml:mprescripts /><mml:none /><mml:mn>4</mml:mn></mml:mmultiscripts><mml:mo>,</mml:mo><mml:mo> </mml:mo><mml:mmultiscripts><mml:mi>Li</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>6</mml:mn><mml:mo>,</mml:mo><mml:mn>7</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>
, and 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Na</mml

Shalchi, M. A.; Yamashita, M. T.; Frederico, T.; Tomio, Lauro

doi:10.1103/physreva.102.062814

Cited by 11 publications

(5 citation statements)

References 99 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The excited Efimov state in 4 He trimer was confirmed experimentally in 2015 by Kunitski et al [28]. The ultracold collision properties of 4 He trimer have been discussed since 1997 [29], with access to new experimental data motivating investigations, in the context of Efimov physics, on the ultracold collision properties of a 4 He dimer with a third atomic particle ( 4 He, 6,7 Li, and 23 Na) [30,31].…”

Section: Introductionmentioning

confidence: 93%

Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

Madeira,

Frederico,

Gandolfi

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

We present an energy scaling function to predict, in a specific range, the energy of bosonic trimers with large scattering lengths and finite range interactions, which is validated by quantum Monte Carlo calculations using microscopic Hamiltonians with two-and three-body potentials. The proposed scaling function depends on the scattering length, effective range, and a reference energy, which we chose as the trimer energy at unitarity. We obtained the scaling function as a limit cycle from the solution of the renormalized zero-range model with effective range corrections. We proposed a simple parameterization of the energy scaling function. Besides the intrinsic interest in theoretical and experimental investigations, this scaling function allows one to probe Efimov physics with only the trimer ground-states, which may open opportunities to identify Efimov trimers whenever access to excited states is limited.

show abstract

Section: Introductionmentioning

confidence: 93%

Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

Madeira,

Frederico,

Gandolfi

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…the SVD method is used to solve Eq. (8). With this solution, we can determine the R-matrix, which is defined as:…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…Recently, atom-dimer exchange and dissociation reaction rates were predicted for different combinations of two 4 He atoms and one of the alkaline species among 6 Li, 7 Li, and 23 Na using the Faddeev formalism by Ref. [8].…”

Section: Introductionmentioning

confidence: 99%

Hyperspherical approach to atom--dimer collision with the Jacobi boundary condition

Zhao¹,

Zhang²,

Han³

et al. 2022

Preprint

View full text Add to dashboard Cite

In this study, we investigate atom-dimer scattering within the framework of the hyperspherical method. The coupled channel Schrödinger equation is solved using the R-matrix propagation technique combined with the smooth variable discretization method. In the matching procedure, the asymptotic wave functions are expressed in the rotated Jacobi coordinates. We apply this approach to the elastic scattering 3 He(T↑) + 4 He 2 and H↑ + H↑Li processes. The convergence of the scattering length as a function of the propagation distance is studied. We find that the method is reliable and can provide considerable savings over previous propagators.

show abstract

“…The neutron-19 C s−wave elastic scattering was studied in [54,58]. In atomic physics, the subtracted scattering equations were applied recently to different scattering problems, like the Efimov discrete scaling [59,60] in an atom-molecule collision [61] and to study cold atom-dimer reaction rates with 4 He, 6,7 Li, and 23 Na [62]. The application of subtracted equations to the four-boson problem with Dirac-delta interaction was proposed in…”

Section: Three-body Subtracted Equations With Renormalized Hamil-tonianmentioning

confidence: 99%

Fixed-Point Few-Body Hamiltonians in Quantum Mechanics

Tomio¹,

Frederico²,

Timóteo³

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

We revisited how Weinberg's ideas in Nuclear Physics influenced our own work and lead to a renormalization group invariant framework within the quantum mechanical few-body problem, and we also update the discussion on the relevant scales in the limit of short-range interactions. In this context, it is revised the formulation of the subtracted scattering equations and fixed-point Hamiltonians applied to few-body systems, in which the original interaction contains point-like singularities, such as Dirac-delta and/or its derivatives. The approach is being illustrated by considering two-nucleons described by singular interactions. This revision also includes an extension of the renormalization formalism to three-body systems, which is followed by an updated discussion on the applications to four particles. * Dedicated to Steven Weinberg's memory, celebrating his contributions on chiral nuclear forces.

show abstract

Cold-atom–dimer reaction rates with He4, Li6,7 , and Na

Cited by 11 publications

References 99 publications

Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

Hyperspherical approach to atom--dimer collision with the Jacobi boundary condition

Fixed-Point Few-Body Hamiltonians in Quantum Mechanics

Contact Info

Product

Resources

About