Cosmic-Ray Particles of Intermediate Mass

Neddermeyer, Seth H.; Anderson, Carl D.

doi:10.1103/physrev.54.88.2

Cited by 62 publications

(12 citation statements)

References 9 publications

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“…For a large fraction the absorption was significantly smaller. Neddermeyer and Anderson announced the muon discovery in 1937 (Neddermeyer and Anderson, 1938) and concluded:…”

Section: Discovery Of the Muonmentioning

confidence: 98%

From Ultra Rays to Astroparticles

Falkenburg¹,

Rhode²

2012

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“…For a large fraction the absorption was significantly smaller. Neddermeyer and Anderson announced the muon discovery in 1937 (Neddermeyer and Anderson, 1938) and concluded:…”

Section: Discovery Of the Muonmentioning

confidence: 98%

From Ultra Rays to Astroparticles

Falkenburg¹,

Rhode²

2012

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“…States and Street and Stevenson on the east, identified Yukawa's particle in cosmic rays [16,17,18]. However, these investigations were plagued by some confusion.…”

Section: Brief History Of the Standard Modelmentioning

confidence: 99%

“…As shown in App. A, time reversal invariance and unitarity constrain the matrix elements to be such that the following two quantities are real: 17) and similarly for the KK case, normalized so that the decay rates to each channel are…”

Section: Multiple-channel Extension Of the Lellouch-lüscher Formulamentioning

confidence: 99%

“…17 In this method one first does all k 0 integrals, leaving only the sums over spatial components of loop momenta. (In a continuum application these would, of course, be replaced by integrals.)…”

Section: Derivationmentioning

confidence: 99%

“…Each Feynman diagram then becomes a 16 This is what we refer to as exponentially suppressed, although strictly it is not equivalent. 17 For a clear discussion of this method see Chapter 13 of Ref. [247].…”

Section: Derivationmentioning

confidence: 99%

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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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The Solvay Conferences in Physics

Amaldi

1994

Advances in Chemical Physics

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Cosmic-Ray Particles of Intermediate Mass

Cited by 62 publications

References 9 publications

From Ultra Rays to Astroparticles

From Ultra Rays to Astroparticles

Multi-Hadron Observables from Lattice Quantum Chromodynamics

The Solvay Conferences in Physics

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