Lüscher’s finite size method with twisted boundary conditions: An application to the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>J</mml:mi><mml:mo>/</mml:mo><mml:mi>ψ</mml:mi><mml:mtext mathvariant="normal">−</mml:mtext><mml:mi>ϕ</mml:mi></mml:math>system to search for a narrow resonance

Ozaki, Sho; Sasaki, Shoichi

doi:10.1103/physrevd.87.014506

Cited by 41 publications

(47 citation statements)

References 53 publications

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“…[54] can be safely used if and only if the contribution of the disconnected diagrams is much smaller than the connected one (in fact, this was mentioned already in ref. [54]). In this case, i.e., whenb =c =s = 0, the double and triple poles in eq.…”

Section: Jhep06(2016)043mentioning

confidence: 99%

“…Consequently, the justification of the method, proposed in ref. [54], heavily rests on the effectiveness of the OZI suppression.…”

Section: Jhep06(2016)043mentioning

confidence: 99%

“…Last but not least, an unconventional twisting procedure was used in the study of the J/ψφ scattering from Y (4140) decays [54]. Namely, in that work the c-and s-quarks were twisted by the angles θ and −θ, respectively, whereas their Hermitean conjugatesc,s were subject to periodic boundary conditions.…”

Section: Partially Twisted Boundary Conditionsmentioning

confidence: 99%

“…[54], in the context of studying J/ψφ scattering from Y (4140) decays. We remind the reader that, within this prescription, only quark fields are twisted, whereas the antiquark fields are subject to the periodic boundary conditions.…”

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confidence: 99%

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The optical potential on the lattice

Agadjanov¹,

Döring

Mai³

et al. 2016

J. High Energ. Phys.

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The extraction of hadron-hadron scattering parameters from lattice data by using the Lüscher approach becomes increasingly complicated in the presence of inelastic channels. We propose a method for the direct extraction of the complex hadron-hadron optical potential on the lattice, which does not require the use of the multi-channel Lüscher formalism. Moreover, this method is applicable without modifications if some inelastic channels contain three or more particles.

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Section: Jhep06(2016)043mentioning

confidence: 99%

“…Consequently, the justification of the method, proposed in ref. [54], heavily rests on the effectiveness of the OZI suppression.…”

Section: Jhep06(2016)043mentioning

confidence: 99%

Section: Partially Twisted Boundary Conditionsmentioning

confidence: 99%

mentioning

confidence: 99%

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The optical potential on the lattice

Agadjanov¹,

Döring

Mai³

et al. 2016

J. High Energ. Phys.

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“…We now repeat this analysis for q 2 , finding that the F term is 183) while the remainder has the form of A (n,u) L with sum-integrals over both q 1 and q 2 replaced by integrals. Continuing this pattern, we deduce …”

Section: Two-to-two Insertions: Any Number Of Switchesmentioning

confidence: 99%

Multi-Hadron Observables from Lattice Quantum Chromodynamics

Hansen¹

2014

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Multi-Hadron Observables from Lattice Quantum Chromodynamics Maxwell T. HansenChair of the Supervisory Committee:Professor Stephen R. Sharpe Department of PhysicsWe describe formal work that relates the finite-volume spectrum in a quantum field theory to scattering and decay amplitudes. This is of particular relevance to numerical calculations performed using Lattice Quantum Chromodynamics (LQCD). Correlators calculated using LQCD can only be determined on the Euclidean time axis. For this reason the standard method of determining scattering amplitudes via the Lehmann-Symanzik-Zimmermann reduction formula cannot be employed. By contrast, the finite-volume spectrum is directly accessible in LQCD calculations. Formalism for relating the spectrum to physical scattering observables is thus highly desirable.In this thesis we develop tools for extracting physical information from LQCD for four types of observables. First we analyze systems with multiple, strongly-coupled two-scalar channels. Here we accommodate both identical and nonidentical scalars, and in the latter case allow for degenerate as well as nondegenerate particle masses. Using relativistic field theory, and summing to all orders in perturbation theory, we derive a result relating the finite-volume spectrum to the two-to-two scattering amplitudes of the coupled-channel theory. This generalizes the formalism of Martin Lüscher for the case of single-channel scattering. Second we consider the weak decay of a single particle into multiple, coupled two-scalar channels. We show how the finite-volume matrix element extracted in LQCD is related to matrix elements of asymptotic two-particle states, and thus to decay amplitudes. This generalizes work by Laurent Lellouch and Martin Lüscher. Third we extend the method for extracting matrix elements by considering currents which insert energy, momentum and angular momentum. This allows one to extract transition matrix elements and form factors from LQCD. Finally we look beyond two-particle systems to those with three-particles in asymptotic states. Working again to all orders in relativistic field theory, we derive a relation between the spectrum and an infinite-volume three-to-three scattering quantity. This final analysis is the most complicated of the four, because the all-orders summation is more difficult for this system, and also because a number of new technical issues arise in analyzing the contributing diagrams.

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Heavy Flavors and Exotic Hadrons

Yasui

2022

Understanding the Origin of Matter

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Lüscher’s finite size method with twisted boundary conditions: An application to theJ/ψ−ϕsystem to search for a narrow resonance

Cited by 41 publications

References 53 publications

The optical potential on the lattice

The optical potential on the lattice

Multi-Hadron Observables from Lattice Quantum Chromodynamics

Heavy Flavors and Exotic Hadrons

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