scholarly journals Pseudoscalar Goldstone bosons scattering off charmed baryons with chiral perturbation theory

2013 ◽  
Vol 914 ◽  
pp. 494-498 ◽  
Author(s):  
Zhan-Wei Liu ◽  
Shi-Lin Zhu
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Chiral Perturbation ◽  
Charmed Baryons ◽  
Goldstone Bosons

scholarly journals Radiative decays of the doubly charmed baryons in chiral perturbation theory

2018 ◽  
Vol 777 ◽  
pp. 169-176 ◽  
Author(s):  
Hao-Song Li ◽  
Lu Meng ◽  
Zhan-Wei Liu ◽  
Shi-Lin Zhu
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Radiative Decays ◽  
Chiral Perturbation ◽  
Charmed Baryons

scholarly journals MASS AND WIDTH OF THE σ

2007 ◽  
Vol 22 (02n03) ◽  
pp. 257-265 ◽  
Author(s):  
HEINRICH LEUTWYLER
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Scattering Amplitude ◽  
Pole Position ◽  
Low Energy ◽  
Chiral Perturbation ◽  
Goldstone Bosons ◽  
Quantum Numbers ◽  
Low Energies ◽  
Work Done

I report on recent work done in collaboration with Irinel Caprini and Gilberto Colangelo1. We observe that the Roy equations lead to a representation of the ππ scattering amplitude that exclusively involves observable quantities, but is valid for complex values of s. At low energies, this representation is dominated by the contributions from the two subtraction constants, which are known to remarkable precision from the low energy theorems of chiral perturbation theory. Evaluating the remaining contributions on the basis of the available data, we demonstrate that the lowest resonance carries the quantum numbers of the vacuum and occurs in the vicinity of the threshold. Although the uncertainties in the data are substantial, the pole position can be calculated quite accurately, because it occurs in the region where the amplitude is dominated by the subtractions. The calculation neatly illustrates the fact that the dynamics of the Goldstone bosons is governed by the symmetries of QCD.

scholarly journals Dilaton chiral perturbation theory and applications

2022 ◽  
Vol 258 ◽  
pp. 08004
Author(s):  
Maarten Golterman ◽  
Yigal Shamir
Keyword(s):  
Perturbation Theory ◽  
Chiral Perturbation Theory ◽  
Large Mass ◽  
Fermion Mass ◽  
Lattice Data ◽  
Chiral Perturbation ◽  
Goldstone Bosons ◽  
Systematic Expansion ◽  
Light Scalar ◽  
Future Work

We review dilaton chiral perturbation theory (dChPT), the effective low-energy theory for the light sector of near-conformal, confining theories. dChPT provides a systematic expansion in both the fermion mass and the distance to the conformal window. It accounts for the pions and the light scalar, the approximate Nambu–Goldstone bosons for chiral and scale symmetry, respectively. A unique feature of dChPT is the existence of a large-mass regime in which the theory exhibits approximate hyperscaling, while the expansion nevertheless remains systematic. We discuss applications to lattice data, presenting successes as well as directions for future work.

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