<i>SU</i>(3) mixing for excited mesons

Carvalho, Wagner; Castro, Antonio S. de; Antunes, A. C. B.

doi:10.1088/0305-4470/35/35/303

Cited by 11 publications

(7 citation statements)

References 71 publications

(74 reference statements)

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“…The analysis of the Gell-Mann-Okubo mass formula, SU(3) coupling formula, radiative decay of the f 1 (1285), γγ * decays of the f 1 (1285) and f 1 (1420), and the radiative J/ψ decays performed by Close and Kirk [16] indicates that these various data are independently consistent with the f 1 (1285) − f 1 (1420) mixing angle α ∼ 50 • (in the singlet-octet basis). This value of α ∼ 50 • is also supported by the calculations performed by [14,17,18,19].…”

Section: Introductionsupporting

confidence: 75%

Regarding the axial-vector mesons

2005

Eur. Phys. J. A

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The implications of the f 1 (1285) − f 1 (1420) mixing for the K 1 ( 3 P 1 ) − K 1 ( 1 P 1 ) mixing angle is investigated. Based on the f 1 (1285) − f 1 (1420) mixing angle ∼ 50 • suggested from the analysis for a substantial body of data concerning the f 1 (1420) and f 1 (1285), the masses of the K 1 ( 3 P 1 ) and K 1 ( 1 P 1 ) are determined to be ∼ 1307.35 ± 0.63 MeV and 1370.03 ± 9.69 MeV, respectively, which therefore suggests that the K 1 ( 3 P 1 )−K 1 ( 1 P 1 ) mixing angle is about ±(59.55 ± 2.81) • . Also, it is found that the mass of the h ′ 1 ( 1 P 1 ) (mostly of ss) state is about 1495.18 ± 8.82 MeV. Comparison of the predicted results and the available experimental information of the h 1 (1380) shows that without further confirmation on the h 1 (1380), the assignment of the h 1 (1380) as the ss member of the 1 P 1 meson nonet may be premature.

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Section: Introductionsupporting

confidence: 75%

Regarding the axial-vector mesons

2005

Eur. Phys. J. A

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“…One needs to note, however, that PDG listings [5] contain two states to which our K 1 resonance could be assigned: K 1 (1270) and K 1 (1400). Both have a significant mutual overlap [156][157][158][159][160][161][162][163][164][165][166][167][168][169][170][171][172][173][174]; analysis from the Linear Sigma Model suggests that our K 1 state has a larger overlap with K 1 (1400) [89]. Nonetheless, we will use m K1 = 1282 MeV for decays of excited states involving K 1 -this makes no significant difference to our results since the decays with K 1 final states are phase-space suppressed for the mass range of excited mesons.…”

Section: B Ground-state Quarkonia and Dilaton: Lagrangian And The Mamentioning

confidence: 99%

Excited scalar and pseudoscalar mesons in the extended linear sigma model

Parganlija

Giacosa

2017

Eur. Phys. J. C

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We present an in-depth study of masses and decays of excited scalar and pseudoscalar states in the Extended Linear Sigma Model (eLSM). The model also contains ground-state scalar, pseudoscalar, vector and axial-vector mesons. The main objective is to study the consequences of the hypothesis that the resonance, observed a decade ago by the BES Collaboration and recently by LHCb, represents an excited scalar quarkonium. In addition we also analyse the possibility that the new resonance, observed recently by BABAR, may also be an excited scalar state. Both hypotheses receive justification in our approach although there appears to be some tension between the simultaneous interpretation of / and pseudoscalar mesons , , and K(1460) as excited states.

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“…So far, the f 1 mesons have been investigated in the literature, for example, Refs. [5,8,9,[11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29], but the value with definite sign, i.e., positive or negative, of ϕ is not yet available presently. Nevertheless, its determination from the B → J/ψf 1 (1285) decays for the first time by the LHCb Collaboration reveal a unique insight to these types of issues in the heavy flavor sector, which could in turn deepen our understanding on the nature of these states.…”

Section: Introductionmentioning

confidence: 99%

Phenomenological studies on neutral $B$-meson decays into $J/ψf_1$ and $η_c f_1$

Yao¹,

Liu²,

Liu³

et al. 2022

Preprint

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The neutral B-meson decays into J/ψf1 and ηcf1 are analyzed phenomenologically in the perturbative QCD (PQCD) approach at the known next-to-leading order accuracy, where f1 denotes the axial-vector mesons f1(1285) and f1(1420), the mixture of flavor fn and fs states in the quark-flavor basis. With the extracted mixing angle ϕ Theo ∼ 15 • and ϕ Exp ∼ 24 • , it is of great interest to find that (a) the B → J/ψf1 and ηcf1 decays have large branching ratios(B) that are measurable at Large Hadron Collider beauty and/or Belle-II experiments in the near future. The consistent results within errors in two referenced angles indicate that much more constraints on ϕ from various aspects are still urgently demanded; (b) the large B(B 0 s → (J/ψ, ηc)f1) through f1(1285) → 2π + 2π − , f1(1285) → ηπ + π − and f1(1420) → K 0 S K + π − may be experimentally probed more easily. Several interesting ratios among the B(B → (J/ψ, ηc)f1) are presented for future exploration on the determination of |ϕ| and/or on the estimation of SU(3)F symmetry breaking; (c) the direct CP violations in the B 0 d → (J/ψ, ηc)f1 decays are generally larger than those in the corresponding B 0 s channels with a factor around 20. It suggests that the B 0 s → (J/ψ, ηc)f1 decays could provide helpful information promisingly on constraining |ϕ| due to the highly small penguin contaminations. All the results and predictions will be confronted with the future examinations.

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SU(3) mixing for excited mesons

Abstract: The SU(3)-flavor symmetry breaking and the quark-antiquark annihilation mechanism are taken into account for describing the singletoctet mixing for several nonets assigned by Particle Data Group(PDG). This task is approached with the mass matrix formalism. *

Cited by 11 publications

References 71 publications

Regarding the axial-vector mesons

Regarding the axial-vector mesons

Excited scalar and pseudoscalar mesons in the extended linear sigma model

Phenomenological studies on neutral $B$-meson decays into $J/ψf_1$ and $η_c f_1$

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