Finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations

Abrashkevich, A.G.; Abrashkevich, D.G.; Kaschiev, M. S.; Пузынин, И.В.

doi:10.1016/0010-4655(94)00106-c

Cited by 19 publications

(17 citation statements)

References 69 publications

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“…Taking into account the centrifugal barrier from D wave and solving the corresponding two channel Schrödinger equation numerically via the Fortran77 package FESSDE2.2 [19], which can fastly and accurately solve the eigenvalue problem for systems of coupled Schrödinger equations, we find the binding energy " d ' 2:25 MeV for the cutoff parameter Ã ¼ 808 MeV, and the corresponding wave function is presented in Fig. 1.…”

Section: Deuteron From One-boson Exchange Modelmentioning

confidence: 99%

Dynamics of hadronic molecule in one-boson exchange approach and possible heavy flavor molecules

2009

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We extend the one pion exchange model at quark level to include the short distance contributions coming from , , and ! exchange. This formalism is applied to discuss the possible molecular states of D "BB Ã , DD Ã , BB Ã , the pseudoscalar-vector systems with C ¼ B ¼ 1 and C ¼ ÀB ¼ 1 respectively. The '' function'' term contribution and the S-D mixing effects have been taken into account. We find the conclusions reached after including the heavier mesons exchange are qualitatively the same as those in the one pion exchange model. The previous suggestion that 1 þþ B " B Ã = " BB Ã molecule should exist, is confirmed in the one-boson exchange model, whereas DD Ã bound state should not exist. The D " D Ã = " DD Ã system can accommodate a 1 þþ molecule close to the threshold, the mixing between the molecule and the conventional charmonium has to be considered to identify this state with Xð3872Þ. For the BB Ã system, the pseudoscalar-vector systems with C ¼ B ¼ 1 and C ¼ ÀB ¼ 1, near threshold molecular states may exist. These bound states should be rather narrow, isospin is violated and the I ¼ 0 component is dominant. Experimental search channels for these states are suggested.

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Section: Deuteron From One-boson Exchange Modelmentioning

confidence: 99%

Dynamics of hadronic molecule in one-boson exchange approach and possible heavy flavor molecules

2009

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“…The Magnus method offers a natural choice for the embedded method-to choose σ = σ (4) = ω 1 + ω 3 to produce a embedded forth order solution Y n+1 and σ = σ (6) = σ (4) + ω 5 to produce the sixth order solution Y n+1 (both via (2)), see [21,22].…”

Section: Step Size Control With Magnus Methodsmentioning

confidence: 99%

The solution of stationary ODE problems in quantum mechanics by Magnus methods with stepsize control

Wensch

Däne

Hergert

et al. 2004

Computer Physics Communications

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“…[15] as well as a standard QL algorithm [16]. In order to check the robustness of our numerical results, we have also checked their coherence with a finite-element method [17,18].…”

Section: B Wannier-stark States In Proximity Of a Surfacementioning

confidence: 99%

“…(13) then provides the regularized energies of our system. Let us now analyze the behavior of the regularized potential (17) in proximity to the surface. Assuming that it has a form V (2) CP;reg (z) = the exponent α is…”

Section: Regularization Of the Correctionmentioning

confidence: 99%

Atomic states in optical traps near a planar surface

Messina¹,

Pelisson²,

Angonin³

et al. 2011

Phys. Rev. A

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In this work we discuss the atomic states in a vertical optical lattice in proximity of a surface. We study the modifications to the ordinary Wannier-Stark states in presence of a surface and we characterize the energy shifts produced by the Casimir-Polder interaction between atom and mirror. In this context, we introduce an effective model describing the finite size of the atom in order to regularize the energy corrections. In addition, the modifications to the energy levels due to a hypothetical non-Newtonian gravitational potential as well as their experimental observability are investigated.Comment: 12 pages, 8 figure

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Finite-element solution of the coupled-channel Schrödinger equation using high-order accuracy approximations

Cited by 19 publications

References 69 publications

Dynamics of hadronic molecule in one-boson exchange approach and possible heavy flavor molecules

Dynamics of hadronic molecule in one-boson exchange approach and possible heavy flavor molecules

The solution of stationary ODE problems in quantum mechanics by Magnus methods with stepsize control

Atomic states in optical traps near a planar surface

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