scholarly journals Consistency checks for two-body finite-volume matrix elements: Conserved currents and bound states

2019 ◽  
Vol 100 (11) ◽  
Author(s):  
Raúl A. Briceño ◽  
Maxwell T. Hansen ◽  
Andrew W. Jackura
Keyword(s):  
Finite Volume ◽  
Bound States ◽  
Matrix Elements ◽  
Conserved Currents

scholarly journals Decay amplitudes to three hadrons from finite-volume matrix elements

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Maxwell T. Hansen ◽  
Fernando Romero-López ◽  
Stephen R. Sharpe
Keyword(s):  
Finite Volume ◽  
Decay Amplitude ◽  
Weak Decay ◽  
Matrix Elements ◽  
Isospin Breaking ◽  
Final State ◽  
Identical Particles ◽  
Hadron Decay ◽  
Finite State ◽  
Particle Decays

Abstract We derive relations between finite-volume matrix elements and infinite-volume decay amplitudes, for processes with three spinless, degenerate and either identical or non-identical particles in the final state. This generalizes the Lellouch-Lüscher relation for two-particle decays and provides a strategy for extracting three-hadron decay amplitudes using lattice QCD. Unlike for two particles, even in the simplest approximation, one must solve integral equations to obtain the physical decay amplitude, a consequence of the nontrivial finite-state interactions. We first derive the result in a simplified theory with three identical particles, and then present the generalizations needed to study phenomenologically relevant three-pion decays. The specific processes we discuss are the CP-violating K → 3π weak decay, the isospin-breaking η → 3π QCD transition, and the electromagnetic γ* → 3π amplitudes that enter the calculation of the hadronic vacuum polarization contribution to muonic g − 2.

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

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Fernando Romero-López ◽  
Stephen R. Sharpe ◽  
Tyler D. Blanton ◽  
Raúl A. Briceño ◽  
Maxwell T. Hansen
Keyword(s):  
Finite Volume ◽  
Bound States ◽  
Numerical Exploration ◽  
Relativistic Particles

scholarly journals Three-boson bound states in finite volume with EFT

2010 ◽  
Vol 3 ◽  
pp. 04011
Author(s):  
S. Kreuzer ◽  
H.-W. Hammer
Keyword(s):  
Finite Volume ◽  
Bound States

scholarly journals Diagonal finite volume matrix elements in the sinh-Gordon model

2019 ◽  
Vol 945 ◽  
pp. 114664 ◽  
Author(s):  
Zoltan Bajnok ◽  
Fedor Smirnov
Keyword(s):  
Finite Volume ◽  
Matrix Elements

scholarly journals Spectrum of Three-Body Bound States in a Finite Volume

2015 ◽  
Vol 114 (9) ◽  
Author(s):  
Ulf-G. Meißner ◽  
Guillermo Ríos ◽  
Akaki Rusetsky
Keyword(s):  
Finite Volume ◽  
Bound States ◽  
Three Body

scholarly journals TOWARDS A THREE-DIMENSIONAL SOLUTION FOR 3N BOUND STATES WITH 3NFs

2009 ◽  
Vol 24 (11n13) ◽  
pp. 816-822 ◽  
Author(s):  
M. R. HADIZADEH ◽  
S. BAYEGAN
Keyword(s):  
Partial Wave ◽  
Integral Equations ◽  
Bound States ◽  
Three Dimensional ◽  
Bound State ◽  
Matrix Elements ◽  
Dimensional Solution ◽  
Dimensional Integral

After a brief discussion about the necessity of using the 3D approach, we present the non partial wave (PW) formalism for 3N bound state with the inclusion of 3N force (3NF). As an example the evaluation of 3NF matrix elements, which appear in the obtained coupled three-dimensional integral equations, for 2π-exchange Tucson–Melbourne 3NF show how would be this formalism efficient and less cumbersome in comparison with the PW formalism.

scholarly journals Quarkonium Production: Velocity-Scaling Rules and Long-Distance Matrix Elements

1997 ◽  
Vol 12 (22) ◽  
pp. 3951-3963 ◽  
Author(s):  
Gerhard A. Schuler
Keyword(s):  
Heavy Quark ◽  
Bound States ◽  
Potential Model ◽  
Distance Matrix ◽  
Bound State ◽  
Matrix Elements ◽  
Long Distance ◽  
Quarkonium Production ◽  
Quark Potential ◽  
Colour Octet

The hierarchy of long-distance matrix elements (MEs) for quarkonium production depends on their scaling with the velocity v of the heavy quark in the bound state. Ranges for the velocities in various bound states and uncertainties of colour-singlet MEs are estimated in a quark-potential model. Different possibilities for the scaling with v of the MEs are discussed; they depend on the actual values of v and the QCD scale. As an application, J/ψ polarization in e+e- annihilation is discussed. The first non-perturbative estimates of colour-octet MEs are presented and compared with phenomenological determinations. Finally, various predictions of prompt quarkonium production at LEP are compared.

scholarly journals Finite volume matrix elements of two-body states

2019 ◽  
Author(s):  
Alessandro Baroni ◽  
Raúl A. Briceño ◽  
Maxwell T. Hansen ◽  
Felipe G. Ortega-Gama
Keyword(s):  
Finite Volume ◽  
Matrix Elements
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