About: Intriguing solutions of the Bethe-Salpeter equation for radially excited pseudoscalar charmonia

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About: Intriguing solutions of the Bethe-Salpeter equation for radially excited pseudoscalar charmonia Goto Sponge NotDistinct Permalink

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The purpose of this paper is twofold. The first purpose is to find a fully Poincar invariant solution of the Bethe-Salpeter equation (BSE) for excited quarkonia; however, the second, in fact, major focus is on the relevance of the space-time metric choice and its impact on the correct description of the ground and all excited states. For the first time, we compare the BSE solutions defined independently with the Euclidean and Minkowski metric. For this purpose, the BSE is conventionally defined and solved in Euclidean space with two versions of the propagator: the bare propagator and the confined form of the quark propagator with complex conjugated poles. In both considered cases, there is unexpected doubling of the spectrum when comparing to the experiments as well as to the solutions of the Schrodinger equation. The quark propagator with complex conjugated singularities allows us to find the BSE solution directly in Minkowski momentum space as well. We find the Minkowski space solution for confining theories is not only numerically accessible but provides a reliable albeit not yet completely satisfactory description of the ground and excited meson states. The purpose of this paper is twofold. The first purpose is to find a fully Poincar invariant solution of the Bethe-Salpeter equation (BSE) for excited quarkonia; however, the second, in fact, major focus is on the relevance of the space-time metric choice and its impact on the correct description of the ground and all excited states. For the first time, we compare the BSE solutions defined independently with the Euclidean and Minkowski metric. For this purpose, the BSE is conventionally defined and solved in Euclidean space with two versions of the propagator: the bare propagator and the confined form of the quark propagator with complex conjugated poles. In both considered cases, there is unexpected doubling of the spectrum when comparing to the experiments as well as to the solutions of the Schrodinger equation. The quark propagator with complex conjugated singularities allows us to find the BSE solution directly in Minkowski momentum space as well. We find the Minkowski space solution for confining theories is not only numerically accessible but provides a reliable albeit not yet completely satisfactory description of the ground and excited meson states. (en)
Title	Intriguing solutions of the Bethe-Salpeter equation for radially excited pseudoscalar charmonia Intriguing solutions of the Bethe-Salpeter equation for radially excited pseudoscalar charmonia (en)
skos:prefLabel	Intriguing solutions of the Bethe-Salpeter equation for radially excited pseudoscalar charmonia Intriguing solutions of the Bethe-Salpeter equation for radially excited pseudoscalar charmonia (en)
skos:notation	RIV/61389005:_____/14:00435728!RIV15-AV0-61389005
http://linked.open...avai/riv/aktivita	I
http://linked.open...avai/riv/aktivity	I
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Šauli, Vladimír
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav jaderné fyziky AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	22615
http://linked.open...ai/riv/idVysledku	RIV/61389005:_____/14:00435728
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	quantum chromodynamics; confinement; quarks; gluons (en)
http://linked.open.../riv/klicoveSlovo	confinement gluons quantum chromodynamics quarks
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[7E23E1439022]
http://linked.open...i/riv/nazevZdroje	Physical Review D: Particles, Fields, Gravitation and Cosmology
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	90
http://linked.open...iv/tvurceVysledku	Šauli, Vladimír
http://linked.open...ain/vavai/riv/wos	000338740800010
issn	1550-7998
number of pages	11 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevD.90.016005

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