Hadronic Interactions From Lattice QCD

Beane, Silas R.; Orginos, Konstantinos; Savage, Martin J.

doi:10.1142/s0218301308010404

Cited by 65 publications

(85 citation statements)

References 206 publications

(367 reference statements)

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“…Refs. [28,19,20,21,22] and references therein), the same conclusion can be obtained without the large-N arguments. In the low-energy regime of QCD, the lowest-lying pseudoscalar mesons π, K and η can be treated as the (Pseudo-)Goldstone bosons of the spontaneous chiral symmetry breaking, and their interactions among themselves and with other particles can be described by chiral perturbation theory (CHPT) [29,30].…”

supporting

confidence: 69%

Tetraquarks, hadronic molecules, meson-meson scattering, and disconnected contributions in lattice QCD

Guo¹,

Liu²,

Meißner³

et al. 2013

Phys. Rev. D

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There are generally two types of Wick contractions in lattice QCD calculations of a correlation function -connected and disconnected ones. The disconnected contribution is difficult to calculate and noisy, thus it is often neglected. In the context of studying tetraquarks, hadronic molecules and meson-meson scattering, we show that whenever there are both connected and singly disconnected contractions, the singly disconnected part gives the leading order contribution, and thus should never be neglected. As an explicit example, we show that information about the scalar mesons σ, f 0 (980), a 0 (980) and κ will be lost when neglecting the disconnected contributions. *

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supporting

confidence: 69%

Tetraquarks, hadronic molecules, meson-meson scattering, and disconnected contributions in lattice QCD

Guo¹,

Liu²,

Meißner³

et al. 2013

Phys. Rev. D

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“…Therefore the statement that the potential in this scheme is "source-dependent" in Ref. [27] is clearly wrong.…”

Section: Lattice Formulationmentioning

confidence: 95%

Hadron interactions from lattice QCD

Aoki

2008

Proceedings of the XXV International Symposium on Lattice Field Theory — PoS(LATTICE 2007)

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Progress on the potential method, recently proposed to investigate hadron interactions in lattice QCD, is reviewed. The strategy to extract the potential in lattice QCD is explained in detail. The method is applied to extract N N potentials, hyperon potentials and the meson-baryon potentials. A theoretical investigation is made to understand the origin of the repulsive core using the operator product expansion. Some recent extensions of the method are also discussed.

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“…While many lattice theorists are interested in calculating hadronic quantities that are relevant for an understanding of physics beyond the standard model, there exists an entirely independent motivation: there are many intrinsically interesting hadronic quantities for which there is essentially no experimental information, and for these quantities lattice QCD calculations will have substantial impact. For instance, while there were several experiments decades ago which measured the lowenergy hyperon-nucleon (YN) interaction, very little is known about such basic scattering quantities as the scattering lengths and effective ranges 1 And yet, for instance, the Σ − n interaction is an important ingredient in the nuclear Equation of State that determines the fate of dense astrophysical objects like neutron stars [5]. Yet another quantity of interest is h πNN , the parity-violating, flavor conserving, pion-nucleon coupling constant.…”

Section: Motivationmentioning

confidence: 99%

“…After many decades of intense experimental effort this quantity remains mysterious, and while a lattice determination poses serious challenges [6], the required computer-time resources constitute a minute fraction of what is required for an experiment in nuclear or particle physics. As a final example, the Kπ scattering lengths have recently been determined using lattice QCD [5], providing a prediction for the global experimental effort led by the DIRAC collaboration [7] to measure these quantities by observing the decays of mesonic atoms.…”

Section: Motivationmentioning

confidence: 99%