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We present a numerical solution of the four-quark Bethe-Salpeter equation for a scalar tetraquark. We find that the four-body equation dynamically generates pseudoscalar poles in the Bethe-Salpeter amplitude. The sensitivity to the pion…

High Energy Physics - Phenomenology · Physics 2015-07-20 Gernot Eichmann , Christian S. Fischer , Walter Heupel

It is pointed out that the previously suggested interpretation of the hidden-charm pentaquarks $P_c(4312)$, $P_c(4440)$ and $P_c(4457)$ as molecular bound states of $\Sigma_c \bar D$ and $\Sigma_c \bar D^*$ baryon-meson pairs gives rise to…

High Energy Physics - Phenomenology · Physics 2019-08-28 M. B. Voloshin

A doubly heavy baryon can be regarded as composed of a heavy diquark and a light quark. In this picture, we study the masses of the doubly heavy diquarkes in the Bethe-Salpeter (BS) formalism first, which are then used as one of the inputs…

High Energy Physics - Phenomenology · Physics 2019-10-02 Qi-Xin Yu , Xin-Heng Guo

Masses of the ground and excited (1P, 2S, 1D, 2P, 3S) states of the fully-heavy tetraquarks, composed of charm ($c$) and bottom ($b$) quarks and antiquarks, are calculated in the diquark-antidiquark picture within the relativistic quark…

High Energy Physics - Phenomenology · Physics 2022-12-14 R. N. Faustov , V. O. Galkin , E. M. Savchenko

We employ the framework of Bethe-Salpeter equation under Covariant Instantaneous Ansatz to study the leptonic decays of pseudoscalar mesons. The Dirac structure of hadron-quark vertex function $\Gamma $ is generalized to include various…

High Energy Physics - Phenomenology · Physics 2011-11-10 Shashank Bhatnagar , Shi-Yuan Li

The spectra and electroweak decay properties of light mesons are analyzed within the framework of the instantaneous Bethe-Salpeter equation. The interaction kernel comprises alternative spin-structures for a parameterization of confinement…

Nuclear Theory · Physics 2011-07-19 C. R. Münz , J. Resag , B. C. Metsch , H. R. Petry

Inspired by recent observation of the first doubly charmed tetraquark $T_{cc}$, we apply linear Regge relation and mass scaling to study low-lying mass spectra of the doubly heavy tetraquark in heavy-diquark-light-antidiquark picture. The…

High Energy Physics - Phenomenology · Physics 2023-08-15 YongXin Song , Duojie Jia

The quark Dyson-Schwinger equation and meson Bethe-Salpeter equation are studied in a truncation scheme that extends the rainbow-ladder approximation such that, in the chiral limit, the isovector, pseudoscalar meson remains massless.…

Nuclear Theory · Physics 2010-03-04 A. Bender , C. D. Roberts , L. v. Smekal

We calculate the widths of the various pentaquarks in a relativistic model in which the pentaquark is considered to be composed of a scalar diquark and a spin 1/2 triquark. We consider both positive and negative parity for the pentaquark.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hu Li , C. M. Shakin , Xiangdong Li

We continue the investigation of mesons in terms of the spectral integral equation initiated before [hep-ph/0510410, hep-ph/0511005] for the $b\bar b$ and $c\bar c$ systems: in this paper we consider the light-quark ($u, d,s$) mesons with…

High Energy Physics - Phenomenology · Physics 2011-10-11 V. V. Anisovich , L. G. Dakhno , M. A. Matveev , V. A. Nikonov , A. V. Sarantsev

We perform a systematic analysis of the mass and strong decays of the $\Omega(2012)$ resonance in a coupled-channel approach of a bare three-quark state and a composite meson-baryon state. Besides the coupling of the bare state and $\Xi^*…

High Energy Physics - Phenomenology · Physics 2023-02-08 Qi-Fang Lü , Hideko Nagahiro , Atsushi Hosaka

We discuss possibility of the existence of tetraquark states made of four quarks in the string (flux tube) model. The new particle is composed of a diquark and an anti-diquark which are connected by a color flux. It is shown that the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Masaharu Iwasaki , Takahiko Fukutome

Considering quantum chromodynamics in the consistent limit of simultaneous correlated increase of the number of colours, $N_{\rm c}$, beyond bounds and decrease of the strong coupling to zero allows for solid statements about qualitative…

High Energy Physics - Phenomenology · Physics 2020-03-03 Wolfgang Lucha , Dmitri Melikhov , Hagop Sazdjian

In the present work, the mass spectra of doubly heavy tetraquarks $T_{QQ^\prime}$ are systematically investigated in a relativized quark model. The four-body systems including the Coulomb potential, confining potential, spin-spin…

High Energy Physics - Phenomenology · Physics 2020-08-19 Qi-Fang Lü , Dian-Yong Chen , Yu-Bing Dong

Within our description of Goldstone-type pseudoscalar mesons as almost massless bound states of quark and antiquark by a three-dimensional bound-state equation of Bethe-Salpeter origin, taking into account the pointwise behaviour of the…

High Energy Physics - Phenomenology · Physics 2018-03-22 Wolfgang Lucha , Franz F. Schoberl

Bethe-Salpeter approach has been applied to the study of b --> c transitions both for heavy mesons and heavy baryons. Meson and baryon IW functions are calculated on the equal footing. A reasonable agreement with the experimental data for…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. G. Rusetsky , M. A. Ivanov , J. G. Korner , V. E. Lyubovitskij

Inspired by the experimentally reported $T_{c\bar{s}}(2900)$ exotic states, the $S$-wave $\bar{q}q\bar{s}Q$ $(q=u,\,d;\,Q=c,\,b)$ tetraquarks, with spin-parity $J^P=0^+$, $1^+$ and $2^+$, in both isoscalar and isovector sectors are…

High Energy Physics - Phenomenology · Physics 2023-11-20 Gang Yang , Jialun Ping , Jorge Segovia

Building upon the discoveries of the $\Xi^{++}_{cc}(3621)$ and $T^{+}_{cc}(3875)$, we undertake a comprehensive investigation into the mass spectra, internal structures, and decay properties of doubly-charmed pentaquarks. By treating the…

High Energy Physics - Phenomenology · Physics 2025-12-10 Hong-Tao An , Yu-Shuai Li

The fully heavy scalar tetraquarks $T_{\mathrm{4Q}}=QQ\overline{Q}\overline{Q }$, ($Q=c, b$) are explored in the context of QCD sum rule method. We model $ T_{\mathrm{4Q}}$ as diquark-antidiquark systems composed of pseudoscalar…

High Energy Physics - Phenomenology · Physics 2023-10-12 S. S. Agaev , K. Azizi , B. Barsbay , H. Sundu

We derive covariant equations describing the three-quark bound state in terms of quark and diquark degrees of freedom. The equations are exact in the approximation where three-body forces are neglected. A feature of these equations is that…

High Energy Physics - Phenomenology · Physics 2023-05-31 A. N. Kvinikhidze , B. Blankleider
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