Chiral symmetry restoration in static-light mesons: A chiral restoration theorem, the quark running mass 
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, and chiral restoration signals in the lattice QCD spectra

Bicudo, Pedro

doi:10.1103/physrevd.94.114517

Cited by 4 publications

(19 citation statements)

References 80 publications

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“…The existence of bound states has been extensively investigated in the recent past by combining static lattice QCD potentials and the Born-Oppenheimer approximation. A stable udbb tetraquark with quantum numbers I(J P ) = 0(1 + ) has been predicted [1][2][3][4][5][6][7][8][9] and been confirmed by similar computations using four quarks of finite mass [10]. Here we extend our investigation by including a new technique from scattering theory, the emergent wave method [11], and search for possibly existing tetraquark resonances (cf.…”

Section: Introductionsupporting

confidence: 54%

“…The potential parametrization is then used in the Schrödinger equation for the relative coordinate of the heavy antiquarksbb ≡QQ to search for either for bound states (cf. [5,[7][8][9]) or for resonances (cf. sections 3 and 4 ).…”

Section: Lattice Qcd Potentials Of Two Static Antiquarksqq In the Prementioning

confidence: 99%

“…Our aim is now to compute the complex prefactors t l , which will eventually lead to the phase shifts. To this end we solve the ordinary differential equation (8). The corresponding boundary conditions are the following:…”

Section: Solving the Differential Equations For The Emergent Wavementioning

confidence: 99%

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Tetraquark resonances computed with static lattice QCD potentials and scattering theory

et al. 2018

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We study tetraquark resonances with lattice QCD potentials computed for two static quarks and two dynamical quarks, the Born-Oppenheimer approximation and the emergent wave method of scattering theory. As a proof of concept we focus on systems with isospin I = 0, but consider different relative angular momenta l of the heavy b quarks. We compute the phase shifts and search for S and T matrix poles in the second Riemann sheet. We predict a new tetraquark resonance for l = 1, decaying into two B mesons, with quantum numbers I(J P ) = 0(1 − ), mass m = 10576 +4 −4 MeV and decay width Γ = 112 +90 −103 MeV.

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Section: Introductionsupporting

confidence: 54%

Section: Lattice Qcd Potentials Of Two Static Antiquarksqq In the Prementioning

confidence: 99%

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Tetraquark resonances computed with static lattice QCD potentials and scattering theory

et al. 2018

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“…The investigation predicts two tetraquark states that have not yet been measured experimentally: Abbud bound state in the I(J P ) = 0(1 + ) channel can be identified. The binding energy with respect to the m B +m B * threshold is E B = −90 +43 −36 MeV [13] not considering effects from the heavy quark spin and E B = −59 +30 −38 MeV [14] taking into account heavy quark spin effects. Furthermore, a resonance in the I(J P ) = 0(1 − ) channel is found.…”

Section: Bbud Systems In the Born-oppenheimer Approximation: Recent mentioning

confidence: 99%

“…e.g. [13]). Among the possible choices for Γ, the combination Γ = (1 − γ 0 )γ 5 yields the strongest QQ attraction, if one takes into account only the operator O BB .…”

Section: Numerical Investigation Of Bbud Ground State and First Excitmentioning

confidence: 99%

bb̅ud̅ four-quark systems in the Born-Oppenheimer approximation: prospects and challenges

2018

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We summarize previous work onbbud four-quark systems in the Born-Oppenheimer approximation and discuss first steps towards an extension to the theoretically more challenging bbud system. Strategies to identify a possibly existing bbud bound state are discussed and first numerical results are presented. MotivationA number of mesons observed in experiment, e.g. at the LHCb or at Belle, are tetraquark candidates. Examples are the charged states Z b (10610) and Z b (10650), cf. e.g. [1]. They are bottomonium-like, which can be concluded from their masses and decay products. However, they also carry electric charge, which means they must include additional quarks. It is most likely that these additional quarks are a light quark-antiquark pair. So the quark content of the Z b states is assumed to be bbud/bbdū. Investigating heavy-heavy-light-light four-quark systems with Lattice QCD and within the Born-Oppenheimer approximationFour-quark states bbqq are object of experimental and theoretical research. The theoretical investigation of such systems is, for reasons which will be described below, very challenging. Four-quark statesbbqq with q ∈ {u, d, s, c, } are theoretically more straightforward to investigate. These states have not yet been measured experimentally. However, it is interesting to study them e.g. to be able to make predictions for experiment and to gain conceptual insight of four-quark states. Previous studies ofbbqq and bbqq systems can be found e.g. in [2][3][4][5][6][7][8][9][10].To investigate binding of four-quarksbbud and bbud, respectively, we work in the so-called Born-Oppenheimer approximation [11]. We first consider the b quarks to be static. Consequently, the heavy quark spin decouples from the system. We consider u/d quarks with a finite mass. The central element of the investigation is the potential of the two static quarks in the presence of the lighter quarks which we compute using Lattice QCD. We extract potentials V(r) from correlation functions C(t, r) = Ω| O † (t)O(0) |Ω ∝ t large exp(−V(r)t).(1) Speaker,

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Mixing and mq dependence of axial vector mesons in the Coulomb gauge QCD model

et al. 2019

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We discuss pure qq axial-vector mesons in the Tamm-Dancoff approximation of the Coulombgauge QCD model from NCSU. While recent studies have put emphasis in configuration mixing with open meson-meson channels, we here concentrate on the simpler closed-channel problem and follow the 1 + mixing through a wide range of quark masses. We also examine their radial excitations and discuss with them the concept of insensitivity to chiral symmetry breaking.

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Chiral symmetry restoration in static-light mesons: A chiral restoration theorem, the quark running mass m(k) , and chiral restoration signals in the lattice QCD spectra

Cited by 4 publications

References 80 publications

Tetraquark resonances computed with static lattice QCD potentials and scattering theory

Tetraquark resonances computed with static lattice QCD potentials and scattering theory

bb̅ud̅ four-quark systems in the Born-Oppenheimer approximation: prospects and challenges

Mixing and mq dependence of axial vector mesons in the Coulomb gauge QCD model

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