I=2 $π$-$π$ scattering length with dynamical overlap fermion

Yagi, Takuya; Hashimoto, S.; Morimatsu, Osamu; Ohtani, Munehisa

doi:10.48550/arxiv.1108.2970

Cited by 14 publications

(46 citation statements)

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“…In this section we compare our results with the previous studies [3,5,[12][13][14][15][18][19][20]. In Table VII, the quark formulation, the number of flavor N f , the lattice spacing a, the spatial extent La and the pion mass m π for the present and previous studies are summarized.…”

Section: Comparison With the Previous Studies At Several Quark Massesmentioning

confidence: 68%

“…The time correlation functions of the ππ(I = 2), KK(I = 1), πK(I = 3/2) and πK(I = 1/2) systems which are defined in Eqs. ( 5), ( 9), (11) and (14), are plotted in the columns (a), (b), (c) and (d) of Fig. 2, respectively.…”

Section: Results Of the Scattering Length A Time Correlation Function...mentioning

confidence: 99%

“…(1/2) 0 m π determined in the present work together with the previous works. As the previous works, we refer the experimental values by E865 [48] and NA48/2 [49], the phenomenological evaluations by Colangelo et al [50] and Büttiker et al [51], and the lattice calculations by the NPLQCD Collaboration [12,15,18], the ETM Collaboration [13], Yagi et al [14] and Fu [5,19]. In the figure, we do not plot the result of E865 due to the large statistical error.…”

Section: Comparison With the Previous Studies At The Physical Pointmentioning

confidence: 99%

“…In the present work, we do not study this channel. For the ππ(I = 2) system, whose interaction is experimentally known to be repulsive, after pioneering works with the quenched approximation [2, [6][7][8][9], several authors reported the realistic calculations with the various formulation of the dynamical fermion [3][4][5][10][11][12][13][14]. For the S-wave KK(I = 1) system, only one calculation has been reported by the NPLQCD Collaboration [15].…”

Section: Introductionmentioning

confidence: 99%

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Scattering lengths for two pseudoscalar meson systems

et al. 2014

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Scattering lengths for two pseudoscalar meson systems, ππðI ¼ 2Þ, KKðI ¼ 1Þ and πKðI ¼ 3=2; 1=2Þ, are calculated from lattice QCD by using the finite size formula. We perform the calculation with N f ¼ 2 þ 1 gauge configurations generated on 32 3 × 64 lattice using the Iwasaki gauge action and a nonperturbatively OðaÞ-improved Wilson action at a −1 ¼ 2.19 GeV. The quark masses correspond to m π ¼ 0.17-0.71 GeV. For the πKðI ¼ 1=2Þ system, we use the variational method with the two operators, su and πK, to separate the contamination from the higher states. In order to obtain the scattering length at the physical quark mass, we fit our results at several quark masses with the formula of the Oðp 4 Þ chiral perturbation theory and that includes the effects of the discretization error from the Wilson fermion, Wilson chiral perturbation theory. We found that the mass dependence of our results near m π ¼ 0.17 GeV are described well by Wilson chiral perturbation theory but not by chiral perturbation theory. The scattering lengths at the physical point are given as a

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Section: Comparison With the Previous Studies At Several Quark Massesmentioning

confidence: 68%

Section: Results Of the Scattering Length A Time Correlation Function...mentioning

confidence: 99%

Section: Comparison With the Previous Studies At The Physical Pointmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scattering lengths for two pseudoscalar meson systems

et al. 2014

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“…For instance, the study of pion, kaon, and proton correlations in heavy ion collisions by the ALICE@CERN collaboration [32] relies on the value of the K − K − scattering length determined in a lattice calculation [33]. There are however only few results focusing on the strange sector [23,33,34], in contrast to the pion systems explored extensively by a number of collaborations [6,15,20,28,[34][35][36][37][38][39][40]. Furthermore, information about many-K − systems is relevant for the understanding of strange nuclear matter and its implications to the equation of state of neutron stars.…”

Section: Introductionmentioning

confidence: 99%

Finite-volume energy spectrum of the $K^-K^-K^-$ system

Alexandru,

Brett,

Culver

et al. 2020

Preprint

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The dynamics of multi-kaon systems are of relevance for several areas of nuclear physics. However, even the simplest systems, two and three kaons, are hard to prepare and study experimentally. Here we show how to extract this information using first-principle lattice QCD results. We (1) extend the relativistic three-body quantization condition to the strangeness sector, predicting for the first time the excited level finite-volume spectrum of three kaon systems at maximal isospin, and (2) present a first lattice QCD calculation of the excited levels of this system in a finite box. We compare our predictions with the lattice results reported here and with previous ground state calculations and find very good agreement.

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

Helmes

Jost

Knippschild

et al. 2015

J. High Energ. Phys.

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We present results for the I = 2 ππ scattering length using N f = 2 + 1 + 1 twisted mass lattice QCD for three values of the lattice spacing and a range of pion mass values. Due to the use of Laplacian Heaviside smearing our statistical errors are reduced compared to previous lattice studies. A detailed investigation of systematic effects such as discretisation effects, volume effects, and pollution of excited and thermal states is performed. After extrapolation to the physical point using chiral perturbation theory at NLO we obtain M π a 0 = −0.0442(2) stat ( +4 −0 ) sys .

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I=2 $π$-$π$ scattering length with dynamical overlap fermion

Cited by 14 publications

References 0 publications

Scattering lengths for two pseudoscalar meson systems

Scattering lengths for two pseudoscalar meson systems

Finite-volume energy spectrum of the $K^-K^-K^-$ system

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

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