The role of nucleon recoil in low-energy antikaon-deuteron scattering

Baru, V.; Epelbaum, E.; Rusetsky, Akaki

doi:10.1140/epja/i2009-10845-y

Cited by 45 publications

(59 citation statements)

References 33 publications

(57 reference statements)

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“…The reason why the static approximation for the OPE works well in the bottomonium-like systems is twofold: first, the B * -B mass splitting is significantly smaller than the pion mass; second, the masses of the B mesons are large enough to make the typical three-body momenta (proportional to m π /m × soft scale -see, for example, refs. [43,44] for the details)…”

Section: Discussionmentioning

confidence: 99%

Spin partners of the Z b (10610) and Z b (10650) revisited

Baru

Epelbaum

Filin

et al. 2017

J. High Energ. Phys.

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We study the implications of the heavy-quark spin symmetry for the possible spin partners of the exotic states Z b (10610) and Z b (10650) in the spectrum of bottomonium. We formulate and solve numerically the coupled-channel equations for the Z b states that allow for a dynamical generation of these states as hadronic molecules. The force includes short-range contact terms and the one-pion exchange potential, both treated fully nonperturbatively. The strength of the potential at leading order is fixed completely by the pole positions of the Z b states so that the mass and the most prominent contributions to the width of the isovector heavy-quark spin partner states W bJ with the quantum numbers J ++ (J = 0, 1, 2) come out as predictions. In particular, we predict the existence of an isovector 2 ++ tensor state lying a few MeV below the B * B * threshold which should be detectable in the experiment. Since the accuracy of the present experimental data does not allow one to fix the pole positions of the Z b 's reliably enough, we also study the pole trajectories of their spin partner states as functions of the Z b binding energies. It is shown that, once the heavy-quark spin symmetry is broken by the physical B and B * mass difference, especially the pion tensor force has a significant impact on the location of the partner states clearly demonstrating the need of a coupled-channel treatment of pion dynamics to understand the spin multiplet pattern of hadronic molecules.

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Section: Discussionmentioning

confidence: 99%

Spin partners of the Z b (10610) and Z b (10650) revisited

Baru

Epelbaum

Filin

et al. 2017

J. High Energ. Phys.

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“…Further, considering such an expansion helps one to reveal the pattern of cancellations of the leading terms, which has been discussed already in Ref. [11]. The uniform expansion method, see Refs.…”

Section: -P2 3 Single Recoil Insertionmentioning

confidence: 89%

“…The goal of the present work is to continue the work of Ref. [11] with the main goal to formulate a procedure for including the recoil corrections perturbatively into the multiple-scattering series, in which the static interactions are summed up to all orders.…”

Section: Introductionmentioning

confidence: 99%

Recoil corrections in antikaon-deuteron scattering

Mai¹,

Baru

Epelbaum

et al. 2016

EPJ Web of Conferences

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Abstract. Using the non-relativistic effective field theory approach for K − d scattering, it is demonstrated that a systematic perturbative expansion of the recoil corrections in the parameter ξ = M K /m N is possible in spite of the fact that K − d scattering at low energies is inherently non-perturbative due to the large values of theKN scattering lengths. The first order correction to the K − d scattering length due to single insertion of the retardation term in the multiple-scattering series is calculated. The recoil effect turns out to be reasonably small even at the physical value of M K /m N 0.5.

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“…The logarithmically enhanced correction term can be resummed to all orders [22], providing a "double-improved" Deser formula:…”

Section: Test Of Improved Deser Formulae For Kaonic Deuteriummentioning

confidence: 99%

Kaonic deuterium and low-energy antikaon-nucleon interaction

Horiuchi

Hyodo

Weise

2018

EPJ Web of Conferences

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Abstract.A new evaluation of the 1s level shift and width of kaonic deuterium is presented based on an accurateKNN three-body calculation, using as input a realistic antikaon-nucleon interaction constrained by the SIDDHARTA kaonic hydrogen data. The three-body Schrödinger equation is solved with a superposition of a large number of correlated Gaussian basis functions extending over distance scales up to several hundred fm. The resulting energy shift and width of the kaonic deuterium 1s level are ∆E 0.67 keV and Γ 1.02 keV, with estimated uncertainties at the 10 % level.

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The role of nucleon recoil in low-energy antikaon-deuteron scattering

Cited by 45 publications

References 33 publications

Spin partners of the Z b (10610) and Z b (10650) revisited

Spin partners of the Z b (10610) and Z b (10650) revisited

Recoil corrections in antikaon-deuteron scattering

Kaonic deuterium and low-energy antikaon-nucleon interaction

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