Dynamical eightfold way mesons in strongly coupled lattice QCD

2008 ◽  
Vol 77 (5) ◽  
Author(s):  
Antônio Francisco Neto ◽  
Michael O’Carroll ◽  
Paulo A. Faria da Veiga
Keyword(s):  
Lattice Qcd ◽  
Strongly Coupled

scholarly journals Isospin-1/2 Dπ scattering and the lightest $$ {D}_0^{\ast } $$ resonance from lattice QCD

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Luke Gayer ◽  
Nicolas Lang ◽  
Sinéad M. Ryan ◽  
David Tims ◽  
Christopher E. Thomas ◽  
...  
Keyword(s):  
Scattering Amplitudes ◽  
Lattice Qcd ◽  
Quark Mass ◽  
Light Quark ◽  
Energy Levels ◽  
Experimental Result ◽  
Infinite Volume ◽  
Resonance Pole ◽  
Strongly Coupled ◽  
Light Quark Mass

Abstract Isospin-1/2 Dπ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately (3.6 fm)3 and with a light quark mass corresponding to mπ ≈ 239 MeV. The spectrum of the elastic Dπ energy region is computed yielding 20 energy levels. Using the Lüscher finite-volume quantisation condition, these energies are translated into constraints on the infinite-volume scattering amplitudes and hence enable us to map out the energy dependence of elastic Dπ scattering. By analytically continuing a range of scattering amplitudes, a $$ {D}_0^{\ast } $$ D 0 ∗ resonance pole is consistently found strongly coupled to the S-wave Dπ channel, with a mass m ≈ 2200 MeV and a width Γ ≈ 400 MeV. Combined with earlier work investigating the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , and $$ {D}_0^{\ast } $$ D 0 ∗ with heavier light quarks, similar couplings between each of these scalar states and their relevant meson-meson scattering channels are determined. The mass of the $$ {D}_0^{\ast } $$ D 0 ∗ is consistently found well below that of the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , in contrast to the currently reported experimental result.

Baryon-baryon bound states in strongly coupled lattice QCD

2007 ◽  
Vol 75 (7) ◽  
Author(s):  
Paulo A. Faria da Veiga ◽  
Michael O’Carroll
Keyword(s):  
Lattice Qcd ◽  
Bound States ◽  
Strongly Coupled

scholarly journals The critical points of strongly coupled lattice QCD at nonzero chemical potential

1997 ◽  
Vol 56 (11) ◽  
pp. 7063-7072 ◽  
Author(s):  
Ian M. Barbour ◽  
Susan E. Morrison ◽  
Elyakum G. Klepfish ◽  
John B. Kogut ◽  
Maria-Paola Lombardo
Keyword(s):  
Lattice Qcd ◽  
Critical Points ◽  
Chemical Potential ◽  
Strongly Coupled

Meson-meson bound states in a(2+1)-dimensional strongly coupled lattice QCD model

2004 ◽  
Vol 69 (9) ◽  
Author(s):  
Paulo A. Faria da Veiga ◽  
Michael O’Carroll ◽  
Antônio Francisco Neto
Keyword(s):  
Lattice Qcd ◽  
Bound States ◽  
Strongly Coupled

ON THE ABSENCE OF PENTAQUARK STATES FROM DYNAMICS IN STRONGLY COUPLED LATTICE QCD

2011 ◽  
Vol 26 (01) ◽  
pp. 71-133 ◽  
Author(s):  
PAULO A. FARIA DA VEIGA ◽  
MICHAEL O'CARROLL ◽  
ANTÔNIO FRANCISCO NETO ◽  
PETRUS H. R. DOS ANJOS
Keyword(s):  
Lattice Qcd ◽  
Bound States ◽  
Threshold Value ◽  
Negative Energy ◽  
Functional Integral ◽  
Ladder Approximation ◽  
Exchange Potential ◽  
Strong Coupling Regime ◽  
Strongly Coupled ◽  
Spinless Case

We consider an imaginary time functional integral formulation of a two-flavor, 3+1 lattice QCD model with Wilson's action and in the strong coupling regime (with a small hopping parameter, κ > 0, and a much smaller plaquette coupling, [Formula: see text], so that the quarks and glueballs are heavy). The model has local SU (3)c gauge and global SU (2)f flavor symmetries, and incorporates the corresponding part of the eightfold way particles: baryons (mesons) of asymptotic mass ≈-3 ln κ(≈-2 ln κ). We search for pentaquark states as meson–baryon bound states in the energy–momentum spectrum of the model, using a lattice Bethe–Salpeter equation. This equation is solved within a ladder approximation, given by the lowest nonvanishing order in κ and β of the Bethe–Salpeter kernel. It includes order κ2 contributions with a [Formula: see text] exchange potential together with a contribution that is a local-in-space, energy-dependent potential. The attractive or repulsive nature of the exchange interaction depends on the spin of the meson–baryon states. The Bethe–Salpeter equation presents integrable singularities, forcing the couplings to be above a threshold value for the meson and the baryon to bind in a pentaquark. We analyzed all the total isospin sectors, I = 1/2, 3/2, 5/2, for the system. For all I, the net attraction resulting from the two sources of interaction is not strong enough for the meson and the baryon to bind. Thus, within our approximation, these pentaquark states are not present up to near the free meson–baryon energy threshold of ≈-5 ln κ. This result is to be contrasted with the spinless case for which our method detects meson–baryon bound states, as well as for Yukawa effective baryon and meson field models. A physical interpretation of our results emerges from an approximate correspondence between meson–baryon bound states and negative energy states of a one-particle lattice Schrödinger Hamiltonian.

scholarly journals EQUATION OF STATE OF STRONGLY COUPLED HAMILTONIAN LATTICE QCD AT FINITE DENSITY

2002 ◽  
Vol 17 (38) ◽  
pp. 2513-2521 ◽  
Author(s):  
YASUO UMINO
Keyword(s):  
Equation Of State ◽  
Lattice Qcd ◽  
Mean Field ◽  
Equation Of Motion ◽  
Continuum Models ◽  
Effective Hamiltonian ◽  
Mechanical Instability ◽  
Finite Density ◽  
Strongly Coupled ◽  
Hamiltonian Lattice

We calculate the equation of state of strongly coupled Hamiltonian lattice QCD at finite density by constructing a solution to the equation of motion corresponding to an effective Hamiltonian describing the ground state of the theory with Wilson fermions. To lowest order in N c we find that the pressure of the quark Fermi sea can be negative indicating its mechanical instability. This new mean field result is in qualitative agreement with continuum models and should be verifiable by future numerical simulations.

Analytic Binding Energies for Two-Baryon Bound States in 2 + 1 Strongly Coupled Lattice QCD With Two-Flavors

2013 ◽  
Vol 321 (1) ◽  
pp. 249-282 ◽  
Author(s):  
Michael O’Carroll ◽  
Paulo A. Faria da Veiga ◽  
Antônio Francisco Neto
Keyword(s):  
Lattice Qcd ◽  
Bound States ◽  
Binding Energies ◽  
Strongly Coupled
Sign in / Sign up

Export Citation Format

Share Document