skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Resonances from lattice QCD

Journal Article · · EPJ Web of Conferences
 [1]
  1. Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States); Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics

The spectrum of hadron is mainly composed as shortly-lived states (resonance) that decay onto two or more hadrons. These resonances play an important role in a variety of phenomenologically significant processes. In this talk, I give an overview on the present status of a rigorous program for studying of resonances and their properties using lattice QCD. I explain the formalism needed for extracting resonant amplitudes from the finite-volume spectra. From these one can extract the masses and widths of resonances. I present some recent examples that illustrate the power of these ideas. I then explain similar formalism that allows for the determination of resonant electroweak amplitudes from finite-volume matrix elements. I use the recent calculation of the πγ* → ππ amplitude as an example illustrating the power of this formalism. From such amplitudes one can determine transition form factors of resonances. I close by reviewing on-going efforts to generalize these ideas to increasingly complex reactions and I then give a outlook of the field.

Research Organization:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-06OR23177
OSTI ID:
1432456
Report Number(s):
JLAB-THY-17-2578; DOE/OR/23177-4236; PII: epjconf_lattice2018_01016; TRN: US1802525
Journal Information:
EPJ Web of Conferences, Vol. 175; Conference: 35. International Symposium on Lattice Field Theory (Lattice 2017), Granada (Spain), 18-24 Jun 2017; ISSN 2100-014X
Publisher:
EDP SciencesCopyright Statement
Country of Publication:
United States
Language:
English

References (43)

Current status of the relativistic two-nucleon one boson exchange potential journal October 1974
Connecting physical resonant amplitudes and lattice QCD journal June 2016
Aharonov–Bohm effect and nucleon–nucleon phase shifts on the lattice journal July 2004
Two particle states and the S -matrix elements in multi-channel scattering journal July 2005
Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD journal October 2016
Matrix elements of unstable states journal September 2012
ππ scattering journal June 2001
Electromagnetic mean squared radii of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>Λ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>1405</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> in chiral dynamics journal November 2008
On Nuclear Reactions Occuring in Very Hot STARS.I. the Synthesis of Elements from Carbon to Nickel. journal September 1954
Mass and Width of the Lowest Resonance in QCD journal April 2006
A method to measure the antikaon–nucleon scattering length in lattice QCD journal November 2009
I = 1 and I = 2 π – π scattering phase shifts from N f = 2 + 1 lattice QCD journal September 2016
Isoscalar π π Scattering and the σ Meson Resonance from QCD journal January 2017
Pion Scattering Lengths journal September 1966
A framework for the calculation of the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>N</mml:mi><mml:msup><mml:mrow><mml:mi>γ</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math> transition form factors on the lattice journal September 2014
Resonances in Coupled π K η K Scattering from Quantum Chromodynamics journal October 2014
Excited and exotic charmonium spectroscopy from lattice QCD journal July 2012
ππ Phase-shift analysis from 600 to 1900 MeV journal November 1973
Weak Transition Matrix Elements¶from Finite-Volume Correlation Functions journal May 2001
Strong Interactions of Hadrons at High Energies book January 2008
Roy equation analysis of ππ scattering journal November 2001
Resonance scattering phase shifts on a non-rest-frame lattice journal September 1995
Electroweak matrix elements in the two-nucleon sector from lattice QCD journal October 2004
The pole structure of the unitary, crossing symmetric low energy ππ scattering amplitudes journal February 2005
Highly Excited and Exotic Meson Spectrum from Dynamical Lattice QCD journal December 2009
Low energy theorems as precision tests of QCD journal June 1983
Two-particle states on a torus and their relation to the scattering matrix journal May 1991
Three particles in a finite volume journal May 2012
A solvable three-body model in finite volume journal November 2017
Adjoint sources in lattice gauge theory journal September 1985
High statistics study of the reaction π−p→π−π+n: Apparatus, method of analysis, and general features of results at 17 GeV/c journal June 1974
From controversy to precision on the sigma meson: A review on the status of the non-ordinary <mml:math altimg="si28.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msub><mml:mrow><mml:mi>f</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>500</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> resonance journal November 2016
Resonant π + γ π + π 0 Amplitude from Quantum Chromodynamics journal December 2015
Precise Determination of the f 0 ( 600 ) and f 0 ( 980 ) Pole Parameters from a Dispersive Data Analysis journal August 2011
Lattice QCD and the Timelike Pion Form Factor journal August 2011
Heavy-quark QCD exotica journal March 2017
Finite-volume effects for two-hadron states in moving frames journal October 2005
How to calculate the elastic scattering matrix in two-dimensional quantum field theories by numerical simulation journal July 1990
Padé approximants and resonance poles journal October 2013
ππ phase-shift analysis below the threshold journal September 1974
Volume dependence of the energy spectrum in massive quantum field theories: II. Scattering states journal June 1986
Practical all-to-all propagators for lattice QCD journal November 2005
Nonperturbative Approach to Effective Chiral Lagrangians and Meson Interactions journal April 1998

Similar Records

Hadron Resonances from QCD
Conference · Tue Mar 01 00:00:00 EST 2016 · EPJ Web of Conferences · OSTI ID:1432456

π γ π π transition and the ρ radiative decay width from lattice QCD
Journal Article · Tue Oct 02 00:00:00 EDT 2018 · Physical Review. D. · OSTI ID:1432456

Meson electro-/photo-production from QCD
Journal Article · Sat Jul 02 00:00:00 EDT 2016 · Few-Body Systems · OSTI ID:1432456