Chiral study of the 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>a</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo mathvariant="bold" stretchy="false">(</mml:mo><mml:mn>980</mml:mn><mml:mo mathvariant="bold" stretchy="false">)</mml:mo></mml:math>
 resonance and 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>η</mml:mi></mml:math>
 scattering phase shifts in light of a recent lattice simulation

Guo, Zhi-Hui; Liu, Liuming; Meißner, Ulf‐G.; Oller, J. A.; Rusetsky, Akaki

doi:10.1103/physrevd.95.054004

Cited by 61 publications

(69 citation statements)

References 101 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…As it was demonstrated in Ref. [38], this framework is quite efficient to fit the lattice finite-volume spectra for the coupled-channel scattering of πη, KK and πη ′ . In this work, we use the same method to study the coupled-channel Dπ, Dη and D sK system.…”

Section: Chiral Amplitudes In the Finite Volumementioning

confidence: 84%

See 1 more Smart Citation

Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons

et al. 2019

Self Cite

View full text Add to dashboard Cite

We study the scattering of the light-flavor pseudoscalar mesons (π, K, η) off the groundstate charmed mesons (D, D s ) within chiral effective field theory. The recent lattice simulation results on various scattering lengths and the finite-volume spectra both in the moving and center-of-mass frames, most of which are obtained at unphysical meson masses, are used to constrain the free parameters in our theory. Explicit formulas to include the S-and P -wave mixing to determine the finite-volume energy levels are provided. After a successful reproduction of the lattice data, we perform a chiral extrapolation to predict the quantities with physical meson masses, including phase shifts, inelasticities, resonance pole positions and the corresponding residues from the scattering of the light pseudoscalar and charmed mesons. Chiral effective field theory provides a useful theoretical framework to perform such studies. Many works along this research line have been done by several different groups in the last decade [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In order to constrain the unknown parameters, one usually needs scattering information as input. However, experimental observables from the scattering of the light pseudoscalar and ground-state charmed mesons, such as phase shifts and inelasticities, are still not available nowadays.Fortunately, lattice QCD provides an alternative way to obtain such kinds of data [24][25][26][27][28][29]. In Ref. [24], the scattering lengths of five scattering channels: isospin-3/2 Dπ, D s π, D s K, isospin-0 DK and isospin-1 DK, are calculated at four different values of unphysical pion (quark) masses. The DK scattering amplitude is obtained indirectly from unitarized chiral perturbation theory (ChPT) with the relevant low-energy constants (LECs) determined from the aforementioned five channels. The direct lattice calculation of DK scattering is performed in Refs. [25][26][27] and the I = 1/2 Dπ scattering length is calculated in lattice QCD in Ref. [29]. In these works, the effects of the coupled channels are ignored. Recently, a sophisticated lattice calculation of the coupled-channel scattering of Dπ, Dη and D sK was presented in Ref. [28], in which a large amount of energy levels in the finite volume are obtained by using many interpolating operators and various moving frames. These lattice data have been extensively used in ChPT studies to constrain the chiral amplitudes [13-16, 19, 20, 22, 24]. However, all of these studies used only a small part of the available lattice data up to now. A more complete data set is expected to be able to determine the chiral amplitudes more precisely. In this work, we perform an extensive study of the light pseudoscalar mesons scattering off the ground-state charmed mesons in unitarized ChPT. All of the 2+1 flavor lattice results, including the finite-volume energy levels and the scattering lengths obtained in Ref. [24][25][26]28], are used to determine the parameters in the unitarized ChPT. Note that the 2-flav...

show abstract

Section: Chiral Amplitudes In the Finite Volumementioning

confidence: 84%

“…In practice, for finite L, it was verified numerically (see Ref. [38]) that the cutoff dependence of ∆G is indeed rather weak. The final expression of the function G(s), used in our finite-volume analysis, takes the form…”

Section: Chiral Amplitudes In the Finite Volumementioning

confidence: 93%

Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons

et al. 2019

Self Cite

View full text Add to dashboard Cite

show abstract

“…While we do not perform continuum and chiral extrapolations here, our data can be used for future such extrapolations. Chiral extrapolations of lattice scattering data using unitarized extensions of chiral effective theory [65,[67][68][69][70][71][72][73][74] have been performed, although to date cutoff effects have not been considered. Nonetheless, it is evident in our data that cutoff effects in both the scattering amplitude (shown in Fig.…”

Section: Discussionmentioning

confidence: 99%

“…In order to extrapolate to the physical point and continuum, a range of pion masses m π = 200 − 280 MeV and lattice spacings a = 0.050 − 0.086 fm are employed. Such extrapolations have been performed recently using chiral perturbation theory and its extensions [63][64][65][66][67][68][69][70][71][72][73][74] and treat all scattering data simultaneously. As these extrapolations are somewhat involved and have not yet treated cutoff effects, we present the determination of the amplitudes only in this work and leave extrapolation to the physical quark masses and continuum for the future.…”

Section: Introductionmentioning

confidence: 99%

The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD

et al. 2019

View full text Add to dashboard Cite

The elastic I = 1 p-wave ππ scattering amplitude is calculated together with the isovector timelike pion form factor using lattice QCD with N f = 2 + 1 dynamical quark flavors. Wilson clover ensembles generated by the Coordinated Lattice Simulations (CLS) initiative are employed at four lattice spacings down to a = 0.05 fm, several pion masses down to m π = 200 MeV, and spatial volumes of extent L = 3.1 − 5.5 fm. The set of measurements on these ensembles, which is publicly available, enables an investigation of systematic errors due to the finite lattice spacing and spatial volume. The ππ scattering amplitude is fit on each ensemble by a Breit-Wigner resonance lineshape, while the form factor is described better by a thrice-subtracted dispersion relation than the Gounaris-Sakurai parametrization.

show abstract

“…Apart from approaching the physical point directly in the lattice simulations, information about physical scattering amplitudes may be inferred from lattice data at heavier quark masses which are however still in the range of applicability of chiral effective theories. This novel interplay between effective field theories and resonant lattice scattering data is currently underway [91][92][93][94][95][96][97][98][99].…”

Section: Discussionmentioning

confidence: 99%

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD

et al. 2018

View full text Add to dashboard Cite

The elastic I = 1/2, s-and p-wave kaon-pion scattering amplitudes are calculated using a single ensemble of anisotropic lattice QCD gauge field configurations with N f = 2 + 1 flavors of dynamical Wilson-clover fermions at m π = 230MeV. A large spatial extent of L = 3.7fm enables a good energy resolution while partial wave mixing due to the reduced symmetries of the finite volume is treated explicitly. The p-wave amplitude is well described by a Breit-Wigner shape with parameters m K * /m π = 3.808(18) and g BW K * Kπ = 5. 33(20) which are insensitive to the inclusion of d-wave mixing and variation of the s-wave parametrization. An effective range description of the near-threshold s-wave amplitude yields m π a 0 = −0.353(25).

show abstract

Chiral study of the a0(980) resonance and πη scattering phase shifts in light of a recent lattice simulation

Cited by 61 publications

References 101 publications

Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons

Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons

The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD

Contact Info

Product

Resources

About

Chiral study of the a0(980) resonance and πη scattering phase shifts in light of a recent lattice simulation

Cited by 61 publications

References 101 publications

Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons

Towards a precise determination of the scattering amplitudes of the charmed and light-flavor pseudoscalar mesons

The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD

Contact Info

Product

Resources

About

The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD

Determination of s- and p-wave I = 1/2 Kπ scattering amplitudes in Nf = 2 + 1 lattice QCD