Bound states on the lattice with partially twisted boundary conditions

Agadjanov, Dimitri; Guo, Feng-Kun; Ríos, G.; Rusetsky, Akaki

doi:10.1007/jhep01(2015)118

Cited by 17 publications

(11 citation statements)

References 99 publications

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“…(Albaladejo et al, 2013;Martínez Torres et al, 2012;Ozaki and Sasaki, 2013;Suganuma et al, 2007). It is pointed out in (Agadjanov et al, 2015) that the use of partially twisted boundary conditions is cheaper than studying the volume dependence in lattice for measuring the compositeness. The basic object in that work is the scattering amplitude in the finite volume, which can be obtained from the corresponding loop functionG θ L (s) = G(s) + ∆G θ L (s) (Döring et al, 2011b), where ∆G θ L can be related to the modified Lüscher function Z θ 00 via…”

Section: Measuring Compositeness On Latticementioning

confidence: 99%

Hadronic molecules

et al. 2018

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A large number of experimental discoveries especially in the heavy quarkonium sector that did not at all fit to the expectations of the until then very successful quark model led to a renaissance of hadron spectroscopy. Among various explanations of the internal structure of these excitations, hadronic molecules, being analogues of light nuclei, play a unique role since for those predictions can be made with controlled uncertainty. We review experimental evidences of various candidates of hadronic molecules, and methods of identifying such structures. Nonrelativistic effective field theories are the suitable framework for studying hadronic molecules, and are discussed in both the continuum and finite volumes. Also pertinent lattice QCD results are presented. Further, we discuss the production mechanisms and decays of hadronic molecules, and comment on the reliability of certain assertions often made in the literature.

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Section: Measuring Compositeness On Latticementioning

confidence: 99%

Hadronic molecules

et al. 2018

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“…In order to quantify this statement we apply here the theory developed in Ref. [50] that allows a probabilistic interpretation of the compositeness relation [51][52][53][54][55][56] for resonances under the condition that…”

Section: Coupled-channel Cdd Analysis Ii: Including the Widths Of σ Cmentioning

confidence: 99%

Resonance on top of thresholds: TheΛc(2595)+as an extremely fine-tuned state

Guo

Oller

2016

Phys. Rev. D

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A dedicated study of the πΣ c scattering around its threshold is carried out in this work to probe the nature of Λ c (2595) + . We first demonstrate that the effective range expansion approach fails to work near the Λ c (2595) + pole position, due to the presence of a nearby CDD pole around the πΣ c thresholds. We then develop a general framework to properly handle the situation with a CDD pole accompanied by nearby thresholds, which is first elaborated for the single-channel case and then generalized to the coupled-channel study. The isospin-breaking effects of the three πΣ c channels with different thresholds are specially taken into account in our study. The finite-width effects from the Σ c baryons are considered and found to be relevant to give the Λ c (2595) + width fully compatible with its experimental value. Through the compositeness analysis, our robust conclusion is that the π 0 Σ + c component is subdominant inside the Λ c (2595) + .

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“…A reformulation of the Weinberg compositeness condition [10,11] is then used to determine the amount of KD and KD * in the respective wave functions. A different method to learn about the amount of meson component, or equivalently the amount of non-meson component, Z, in the wave function, is from the dependence of the spectrum on the twisting angle, imposing twisted boundary conditions on the fermion fields [12].…”

Section: Jhep05(2015)153mentioning

confidence: 99%

Reanalysis of lattice QCD spectra leading to the D s0 ∗ (2317) and D s1 ∗ (2460)

Torres

Oset

Prelovšek

et al. 2015

J. High Energ. Phys.

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Abstract:We perform a reanalysis of the energy levels obtained in a recent lattice QCD simulation, from where the existence of bound states of KD and KD * are induced and identified with the narrow D * s0 (2317) and D * s1 (2460) resonances. The reanalysis is done in terms of an auxiliary potential, employing a single-channel basis KD ( * ) , and a two-channel basis KD ( * ) , ηD ( * ) s . By means of an extended Lüscher method we determine poles of the continuum t-matrix, bound by about 40 MeV with respect to the KD and KD * thresholds, which we identify with the D * s0 (2317) and D * s1 (2460) resonances. Using a sum rule that reformulates Weinberg compositeness condition we can determine that the state D * s0 (2317) contains a KD component in an amount of about 70%, while the state D * s1 (2460) contains a similar amount of KD * . We argue that the present lattice simulation results do not still allow us to determine which are the missing channels in the bound state wave functions and we discuss the necessary information that can lead to answer this question.

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Bound states on the lattice with partially twisted boundary conditions

Cited by 17 publications

References 99 publications

Hadronic molecules

Hadronic molecules

Resonance on top of thresholds: TheΛc(2595)+as an extremely fine-tuned state

Reanalysis of lattice QCD spectra leading to the D s0 ∗ (2317) and D s1 ∗ (2460)

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