Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length

Helmes, Christopher; Jost, Christian; Knippschild, Bastian; Kostrzewa, Bartosz; Liu, Liuming; Urbach, Carsten; Werner, Markus

doi:10.1007/jhep09(2015)109

Cited by 60 publications

(67 citation statements)

References 86 publications

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“…(33) reduces to a constant term which can be removed by taking finite differences, see Ref. [91]. Here we choose t max < 19a (17a) for T /a = 64 (48) to avoid any significant contribution from thermal states.…”

Section: A Energiesmentioning

confidence: 99%

Masses and decay constants of the Ds0(2317) and D
Bali
¹
,
Collins
²
,
Cox
³

et al. 2017
Phys. Rev. D*
108
13
161
1
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We perform a high statistics study of the J P = 0 + and 1 + charmed-strange mesons, D * s0 (2317) and Ds1(2460), respectively. The effects of the nearby DK and D * K thresholds are taken into account by employing the corresponding four quark operators. Six ensembles with N f = 2 nonperturbatively O(a) improved clover Wilson sea quarks at a = 0.07 fm are employed, covering different spatial volumes and pion masses: linear lattice extents L/a = 24, 32, 40, 64, equivalent to 1.7 fm to 4.5 fm, are realised for mπ = 290 MeV and L/a = 48, 64 or 3.4 fm and 4.5 fm for an almost physical pion mass of 150 MeV. Through a phase shift analysis and the effective range approximation we determine the scattering lengths, couplings to the thresholds and the infinite volume masses. Differences relative to the experimental values are observed for these masses, however, this is likely to be due to discretisation effects as spin-averaged quantities and splittings are reasonably compatible with experiment. We also compute the weak decay constants of the scalar and axialvector and find f

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Section: A Energiesmentioning

confidence: 99%

Masses and decay constants of the Ds0(2317) and D
Bali
¹
,
Collins
²
,
Cox
³

et al. 2017
Phys. Rev. D*
108
13
161
1
View full text Add to dashboard Cite

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“…The ETM Collaboration has been studying the low-energy pion-pion scattering processes using their 2 + 1 + 1 flavor ensembles [48,49]. In Ref.…”

Section: Single-channel Scattering Of Light Mesonsmentioning

confidence: 99%

“…In Ref. [48], the ππ scattering length in I = 2 channel, denoted by a I=2 0 , is obtained in the continuum and physical pion mass limit. As we all know now, scattering length is a very important low-energy quantity that will enter many effective field theory analysis.…”

Section: Single-channel Scattering Of Light Mesonsmentioning

confidence: 99%

“…[48] is plotted in Fig. 6 (marked as ETM (2015)) together with those from chiral perturbation theory and other previous lattice computations.…”

Section: Single-channel Scattering Of Light Mesonsmentioning

confidence: 99%

“…Careful analysis of the statistical and systematic errors have been performed in the study of Ref. [48] and similar studies in other channels of pion-pion and pion-kaon scattering are under way. In recent years, the computation of the rho resonance becomes not only feasible but also quite fashionable, illustrating our understanding of the resonance nature of ρ meson.…”

Section: Single-channel Scattering Of Light Mesonsmentioning

confidence: 99%

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2017

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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I review some of the lattice results on spectroscopy and resonances in the past years. For the conventional hadron spectrum computations, focus has been put on the isospin breaking effects, QED effects, and simulations near the physical pion mass point. I then go through several singlechannel scattering studies within Lüscher formalism, a method that has matured over the past few years. The topics cover light mesons and also the charmed mesons, with the latter case intimately related to the recently discovered exotic XY Z particles. Other possible related formalisms that are available on the market are also discussed. 34th annual International Symposium on Lattice Field Theory

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Implementing the three-particle quantization condition including higher partial waves

Blanton

Romero-López

Sharpe

2019

J. High Energ. Phys.

102

193

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We present an implementation of the relativistic three-particle quantization condition including both sand d-wave two-particle channels. For this, we develop a systematic expansion of the three-particle K matrix, K df,3 , about threshold, which is the generalization of the effective range expansion of the two-particle K matrix, K 2 . Relativistic invariance plays an important role in this expansion. We find that d-wave two-particle channels enter first at quadratic order. We explain how to implement the resulting multichannel quantization condition, and present several examples of its application. We derive the leading dependence of the threshold three-particle state on the two-particle d-wave scattering amplitude, and use this to test our implementation. We show how strong twoparticle d-wave interactions can lead to significant effects on the finite-volume three-particle spectrum, including the possibility of a generalized three-particle Efimov-like bound state. We also explore the application to the 3π + system, which is accessible to lattice QCD simulations, where we study the sensitivity of the spectrum to the components of K df,3 . Finally, we investigate the circumstances under which the quantization condition has unphysical solutions.F Properties of the isotropic approximation 50 G Failure of Eq. (4.34) for quadratic and cubic terms in the threshold expansion 53There is also an induced three-particle interaction due to the exchange of a virtual particle between a pair of two-particle interactions. This is included in all approaches.2 The p wave is absent due to Bose symmetry. 3 It is expected, however, that there is no barrier to extending to higher waves.-3 -Z 2 symmetry that forbids 2 ↔ 3 transitions. Another important feature of this approach is that it can be made relativistic [5], which turns out to simplify the expansion about threshold. Although we use the RFT approach, we expect that many of the technical considerations and general conclusions will apply to all three approaches to the quantization condition.The formalism of Ref.[1] is restricted to two-particle interactions that do not lead to poles in K 2 , the two-particle K matrix. If there are such poles, then one should use the generalized, and more complicated, formalism derived in Ref. [7]. For simplicity, we consider here only examples in which there are no K-matrix poles.Since our main goal is to show how the formalism works when including higher waves, our numerical examples are mainly chosen for illustrative purposes and do not represent physical systems. However, there is one case in nature for which our simplified setting applies, namely the 3π + system. Thus, in one of our examples, we set the two-particle scattering parameters to those measured experimentally for two charged pions, and illustrate the dependence of the resulting three-pion spectrum on the three-particle scattering parameters. This is similar to the study made in Ref.[15] using the FVU approach, except here we include d-wave dimers.All three-particle quantization condi...

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Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length

Cited by 60 publications

References 86 publications

Masses and decay constants of the Ds0(2317) and D
Bali
¹
,
Collins
²
,
Cox
³

et al. 2017
Phys. Rev. D*
108
13
161
1
View full text Add to dashboard Cite

Masses and decay constants of the Ds0(2317) and D
Bali
¹
,
Collins
²
,
Cox
³

et al. 2017
Phys. Rev. D*
108
13
161
1
View full text Add to dashboard Cite

Review on Hadron Spectroscopy

Implementing the three-particle quantization condition including higher partial waves

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Hadron-hadron interactions from N f = 2 + 1 + 1 lattice QCD: isospin-2 ππ scattering length

Cited by 60 publications

References 86 publications

Masses and decay constants of the Ds0*(2317) and DBali1, Collins2, Cox3 et al. 2017Phys. Rev. D108131611View full textAdd to dashboardCite

Masses and decay constants of the Ds0*(2317) and DBali1, Collins2, Cox3 et al. 2017Phys. Rev. D108131611View full textAdd to dashboardCite

Review on Hadron Spectroscopy

Implementing the three-particle quantization condition including higher partial waves

Contact Info

Product

Resources

About

Masses and decay constants of the Ds0(2317) and D
Bali
¹
,
Collins
²
,
Cox
³

et al. 2017
Phys. Rev. D*
108
13
161
1
View full text Add to dashboard Cite

Masses and decay constants of the Ds0(2317) and D
Bali
¹
,
Collins
²
,
Cox
³

et al. 2017
Phys. Rev. D*
108
13
161
1
View full text Add to dashboard Cite