Analytic binding energies for two-baryon bound states in 2 + 1 strongly coupled lattice QCD with two-flavors.

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Autor(es): dc.creatorO’Carroll, Michael-
Autor(es): dc.creatorVeiga, Paulo Afonso Faria da-
Autor(es): dc.creatorFrancisco Neto, Antônio-
Data de aceite: dc.date.accessioned2025-08-21T15:14:44Z-
Data de disponibilização: dc.date.available2025-08-21T15:14:44Z-
Data de envio: dc.date.issued2017-09-18-
Data de envio: dc.date.issued2017-09-18-
Data de envio: dc.date.issued2013-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/8733-
Fonte completa do material: dc.identifierhttps://link.springer.com/article/10.1007/s00220-013-1688-z-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s00220-013-1688-z-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1007735-
Descrição: dc.descriptionWe consider a lattice SU(3) QCD model in 2 + 1 dimensions, with two flavors and 2 × 2 spin matrices. An imaginary time functional integral formulation with Wilson’s action is used in the strong coupling regime, i.e. small hopping parameter 0 < κ 1, and much smaller plaquette coupling β, 0 < β κ. In this regime, it is known that the low-lying energy-momentum spectrum contains isolated dispersion curves identified with baryons and mesons with asymptotic masses m ≈ −3 ln κ and mm ≈ −2 ln κ, respectively. We prove the existence of two (labelled by ±) two-baryon bound states for each of the total isospin sectors I = 0, 1 and we obtain, in each case, the exact binding energies I ± (of order κ2) which extend to jointly analytic function in κ and β.We also prove that these points are the only mass spectrum up to slightly above the bound state masses. Precisely, we show, for α0 = 1 4, α1 = 1 12, α2 = 1 2, α3 = 34 and small δ > 0, that the bound state masses 2m − I ± are the only points in the mass spectrum in (0, 2m − I ± + δαI κ2), for I = 0, 1, and in (0, 2m − (1 + δ)αI κ2), for I = 2, 3. These results are exact and validate our previous results obtained in a ladder approximation. The method employs suitable two- and four-point correlations with spectral representations and a lattice Bethe-Salpeter equation. For I = 0, 1, a quark, antiquark space-range one potential of order κ2 is found to be the dominant contribution to the two-baryon interaction and the interaction of the individual quark isospins of one baryon with those of the other is described by permanents. A novel spectral free decomposition (but spectral representation motivated, for real κ and β) of the two-point correlation, after performing a complex extension, is a key ingredient in showing the joint analyticity of the binding energy.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsaberto-
Título: dc.titleAnalytic binding energies for two-baryon bound states in 2 + 1 strongly coupled lattice QCD with two-flavors.-
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