Meson-meson bound state in a 2 + 1 lattice QCD model with two flavors and strong coupling.

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Autor(es): dc.creatorVeiga, Paulo Afonso Faria da-
Autor(es): dc.creatorO'Carroll, Michael Louis-
Autor(es): dc.creatorFrancisco Neto, Antônio-
Data de aceite: dc.date.accessioned2025-08-21T15:26:51Z-
Data de disponibilização: dc.date.available2025-08-21T15:26:51Z-
Data de envio: dc.date.issued2017-09-18-
Data de envio: dc.date.issued2017-09-18-
Data de envio: dc.date.issued2005-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/8741-
Fonte completa do material: dc.identifierhttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.72.034507-
Fonte completa do material: dc.identifierhttps://doi.org/10.1103/PhysRevD.72.034507-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1015055-
Descrição: dc.descriptionWe consider the existence of bound states of two mesons in an imaginary-time formulation of lattice QCD. We analyze an SU(3) theory with two flavors in 2 1 dimensions and two-dimensional spin matrices. For a small hopping parameter and a sufficiently large glueball mass, as a preliminary, we show the existence of isoscalar and isovector mesonlike particles that have isolated dispersion curves (upper gap up to near the two-particle threshold 4 ln ). The corresponding meson masses are equal up to and including O 3 and are asymptotically of order 2 ln 2. Considering the zero total isospin sector, we show that there is a meson-meson bound state solution to the Bethe-Salpeter equation in a ladder approximation, below the two-meson threshold, and with binding energy of order b 2 ’ 0:02359 2. In the context of the strong coupling expansion in , we show that there are two sources of meson-meson attraction. One comes from a quark-antiquark exchange. This is not a meson exchange, as the spin indices are not those of the meson particle, and we refer to this as a quasimeson exchange. The other arises from gauge field correlations of four overlapping bonds, two positively oriented and two of opposite orientation. Although the exchange part gives rise to a space range-one attractive potential, the main mechanism for the formation of the bound state comes from the gauge contribution. In our lattice Bethe-Salpeter equation approach, this mechanism is manifested by an attractive distance-zero energy-dependent potential. We recall that no bound state appeared in the one-flavor case, where the repulsive effect of Pauli exclusion is stronger.-
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Idioma: dc.languageen-
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Título: dc.titleMeson-meson bound state in a 2 + 1 lattice QCD model with two flavors and strong coupling.-
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