Hadron-Hadron Interactions from 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>N</mml:mi><mml:mi>f</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>
 lattice QCD: Isospin-1 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi><mml:mi>K</mml:mi></mml:math>
 scattering length

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

doi:10.1103/physrevd.96.034510

Cited by 26 publications

(22 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Currently, one of the major frontiers of numerical LQCD is the calculation of few-hadron observables. In particular, there has been substantial recent progress in the determination of scattering amplitudes, including cases for which multiple channels are open and couple to underlying resonances [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17]. 1 These studies rely on formalism that maps quantities obtained via LQCD, namely finite-volume observables, to infinite-volume amplitudes [19][20][21][22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states

Romero-López

Sharpe

Blanton

et al. 2019

J. High Energ. Phys.

View full text Add to dashboard Cite

In this work, we use an extension of the quantization condition, given in ref. [1], to numerically explore the finite-volume spectrum of three relativistic particles, in the case that two-particle subsets are either resonant or bound. The original form of the relativistic three-particle quantization condition was derived under a technical assumption on the twoparticle K matrix that required the absence of two-particle bound states or narrow twoparticle resonances. Here we describe how this restriction can be lifted in a simple way using the freedom in the definition of the K-matrix-like quantity that enters the quantization condition. With this in hand, we extend previous numerical studies of the quantization condition to explore the finite-volume signature for a variety of two-and three-particle interactions. We determine the spectrum for parameters such that the system contains both dimers (two-particle bound states) and one or more trimers (in which all three particles are bound), and also for cases where the two-particle subchannel is resonant. We also show how the quantization condition provides a tool for determining infinite-volume dimerparticle scattering amplitudes for energies below the dimer breakup. We illustrate this for a series of examples, including one that parallels physical deuteron-nucleon scattering. All calculations presented here are restricted to the case of three identical scalar particles.

show abstract

Section: Introductionmentioning

confidence: 99%

Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states

Romero-López

Sharpe

Blanton

et al. 2019

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…For the KK and πK systems, we interpolate all of our data to fixed (physical) renormalised strange quark mass either by requiring M 2 K − 1 2 M 2 π to take its physical value (henceforth method A) for all of our ensembles or by defining per-ensemble reference strange quark masses taking into account lattice artefacts, such that M 2 K parametrised in terms of SU (2) χPT at fixed strange quark mass takes its physical value in the continuum limit extrapolated to the physical point (method B). For details, see Refs.…”

Section: = 1 Kkmentioning

confidence: 99%

“…In this contribution we summarise our calculations of the I = 2, ππ [1], I = 1, KK [2] and I = 3/2, πK [3] s-wave scattering lengths from lattice QCD. We employ a set of gauge configuration ensembles generated by the European Twisted Mass Collaboration (ETMC) with N f = 2 + 1 + 1 quark flavours [4] encompassing three lattice spacings and pion masses between 230 and 450 MeV, allowing a controlled extrapolation to the physical point and continuum limit.…”

Section: Introductionmentioning

confidence: 99%

Meson-meson scattering lengths at maximum isospin from lattice QCD

Helmes¹,

Jost²,

Knippschild³

et al. 2020

Proceedings of the 9th International Workshop on Chiral Dynamics — PoS(CD2018)

View full text Add to dashboard Cite

We summarize our lattice QCD determinations of the pion-pion, pion-kaon and kaon-kaon s-wave scattering lengths at maximal isospin with a particular focus on the extrapolation to the physical point and the usage of next-to-leading order chiral perturbation theory to do so. We employ data at three values of the lattice spacing and pion masses ranging from around 230 MeV to around 450 MeV applying Luescher's finite volume method to compute the scattering lengths. We find that leading order chiral perturbation theory is surprisingly close to our data even in the kaon-kaon case for our entire range of pion masses.

show abstract

“…In the last decade, the use of the (multi-channel) Lüscher equation [1][2][3][4][5][6][7][8][9][10][11] has become a standard tool for the extraction of the infinite-volume two-particle scattering phase shifts and inelasticities from the energy spectrum on the lattice [12][13][14][15][16][17][18][19][20][21][22]. Further, the Lellouch-Lüscher formalism, as well as its generalizations to the case of the coupled two-particle channels, have been successfully used for the measurement of various matrix elements with two-particle final states, as well as for the calculation of the resonance form factors [7,[23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations

2018

Self Cite

View full text Add to dashboard Cite

We calculate the one-, two-and three-particle energy levels for different lattice volumes in the complex ϕ 4 theory on the lattice. We argue that the exponentially suppressed finite-volume corrections for the two-and threeparticle energy shifts can be reduced significantly by using the single particle mass, which includes the finite-size effects. We show numerically that, for a set of bare parameters, corresponding to the weak repulsive interaction, one can reliably extract the two-and three-particle energy shifts. From those, we extract the scattering length, the effective range and the effective three-body coupling. We show that the parameters, extracted from the two-and three-particle energy shifts, are consistent. Moreover, the effective three-body coupling is significantly different from zero.

show abstract

Hadron-Hadron Interactions from Nf=2+1+1 lattice QCD: Isospin-1 KK scattering length

Cited by 26 publications

References 51 publications

Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states

Numerical exploration of three relativistic particles in a finite volume including two-particle resonances and bound states

Meson-meson scattering lengths at maximum isospin from lattice QCD

Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations

Contact Info

Product

Resources

About