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Bing An Li

Publications and source records attributed to Bing An Li.

At least 19 recordsLinked to original sources
arXiv2021

Theoretical study on η'--> 4 pions

The $η'$ meson is associated with the U(1) anomaly. In this paper, a successful effective chiral theory of mesons has been applied to study the anomalous decay of $η'\rightarrow π^+π^-π^{+(0)}π^{-(0)}$. In this study, the contributions of triangle and box anomalies are calculated. It is shown that the contribution of box diagrams is important in this process. We predict branching ratios of $Br(η' \rightarrow π^+ π^- π^+ π^-)={1 \over 2}Br(η' \rightarrow π^+ π^- π^0 π^0) = (8.3 \pm 1.2) \times 10^{-5}$, which is in good agreement with BESIII measurement.

hep-ph↗
arXiv2016

Couplings of NN(nπ) n \geq 1

Determinations of the couplings of $N N (n π) (n \geq 1)$ are reported. The study is based on both a quark model of nucleon and a chiral field theory of mesons. The coupling of $N N π$ is predicted and is in agreement with current value. It shows that the coupling $ N N 2 π$ is resulted in the nature that pion is a Goldstone boson. The couplings of $N N (n π) (n \geq 2)$ are predicted by this approach.

hep-ph↗
arXiv2014

Electromagnetic and weak form factors of nucleon and charged quasielastic scatterings of neutrino (antineutrino) and nucleon

The study of electromagnetic and weak form factors of nucleon (charged quasielastic scatterings of neutrino (antineutrino) and nucleon) done in $70^\prime s$ and published in Chinese journals is reviewed. In the approach of the study antiquark components are introduced to the wave functions of nucleon and the study shows that the antiquark components of nucleon play an essential role in the EM and weak form factors of nucleon. The SU(6) symmetric wave functions of baryons in the rest frame ( s-wave in the rest frame) have been constructed. In these wave functions there are both quark and antiquark components. Using Lorentz transformations these wave functions are boosted to moving frame. In terms of effective Lagrangian these wave functions are used to study the EM and weak form factors of nucleon and $p \rightarrow Δ$. The ratio $μ_p G^p_E/G^p_M$, $G^n_E$, $G^n_M$, $G^*_M$, $E1+$ and $S1+$ of $p \rightarrow Δ$ are predicted. The axial-vector form factors of nucleon is predicted to be $G_A(q^2)/G_A(0) = F^p_1(q^2)$, where the $F^p_1$ is the first Dirac form factor of proton. This prediction agrees with data very well. The pseudoscalar form factor of nucleon is predicted. The model predicts there are three axial-form factors for $p\rightarrowΔ$ and two of them play dominant roles. The cross sections of $ν_μ+ n \rightarrow p + μ^-\;\;\barν_μ+ p \rightarrow n + μ^+$, $ΔS = 1$ quasielastic neutrino scatterings, and $ν_μ+ p \rightarrow Δ^{++} + μ^-$ are predicted. Theoretical results are in agreement with data. The study shows that antiquark components of baryons play an essential role in understanding nucleon structure.

hep-ph↗
arXiv2013

Possible candidate of 0^+ s\bar{s}s\bar{s} state

The possibility of the $0^+$ $ηη$ resonance $f_0(2100)$ as a candidate of the $Q^2\bar{Q}^2$ state $C^{ss}(36)$ is explored. The $ηη$ channel of $f_0(2100)$ is the dominant decay mode, $ηη'$ channel has less decay rate, the decay rate of the $η'η'$ channel is very small. The $ππ,\;K\bar{K},\;4π$ modes are at next leading order in $N_C$ expansion. Other possible decay modes are discussed.

hep-ph↗
arXiv2011

Chiral expansion of the $π^0\rightarrowγγ$ decay width

A chiral field theory of mesons has been applied to study the contribution of the current quark masses to the $π^0\rightarrowγγ$ decay width at the next leading order. $2\%$ enhancement has been predicted and there is no new parameter.

hep-ph↗
arXiv2011

$2^{++}$ glueball

The mixing between the $f_2(1270)$, the $f_2(1525)$, and the $2^{++}$ glueball is determined and tested. The mass and the hadronic decay widths of the $G_2$ and the branching ratio $B(J/ψ\rightarrowγG_2)$ are predicted.

hep-ph↗
arXiv2011

Quantum chiral field theory of $0^{-+}$ glueball

A chiral field theory of $0^{-+}$ glueball is presented. The coupling between the quark operator and the $0^{-+}$ glueball field is revealed from the U(1) anomaly. The Lagrangian of this theory is constructed by adding a $0^{-+}$ glueball field to a successful Lagrangian of chiral field theory of pseudoscalar, vector, and axial-vector mesons. Quantitative study of the physical processes of the $0^{-+}$ glueball of $m=1.405\textrm{GeV}$ is presented. The theoretical predictions can be used to identify the $0^{-+}$ glueball.

hep-ph↗
arXiv2009

$Υ(1s)\toγf_2(1270)$ Decay

Decay $Υ(1s)\toγf_2(1270)$ is studied by an approach in which the tensor meson, $f_2(1270)$, is strongly coupled to gluons. Besides the strong suppression of the amplitude $Υ(1s)\toγgg, gg\to f_2$ by the mass of b-quark, d-wave dominance in $Υ(1s)\toγf_2(1270)$ is revealed from this approach, which provides a large enhancement. The combination of these two factors leads to larger $B(Υ(1s)\toγf_2(1270))$. The decay rate of $Υ(1s)\toγf_2(1270)$ and the ratios of the helicity amplitudes are obtained and they are in agreement with data.

hep-ph↗
arXiv2009

New limit of pion form factor at very large $Q^2$

A new limit of pion form factor at very large $Q^2$ is obtained by using a pion wave function determined from an effective chiral field theory of mesons. It shows that when $Q^2>>(1.8GeV)^2$ the pion form factor reaches the asymptotic limit ${α_s(Q^2)\over Q^2}$.

hep-ph↗
arXiv2009

New dynamical gauges of the SM of EW interactions

A new Lagrangian of EW interactions without spontaneous symmetry breaking, Higgs, and Fadeev-Popov procedure has been constructed. It consists of three parts: $SU(2)_L\times U(1)$ gauge fields, massive fermion fields, and their interactions. In this theory the gauge coupling constants g, g', and fermion masses are the inputs. A new mechanism of $SU(2)_L\times U(1)$ symmetry breaking caused by fermion masses has been found. In the EW theory top quark mass plays a dominant role. This mechanism leads to nonperturbative generation of the gauge fixings and masses of Z and W fields. $m^2_W={1\over2}g^2 m^2_t, m^2_Z={1\over2}\bar{g}^2 m^2_t, G_F=\frac{1}{2\sqrt{2}m^2_t}$ are revealed from this theory. The propagators of Z- and W-fields without quadratic divergent terms are derived. Very heavy neutral and charged scalars are dynamically generated from this theory too.

hep-ph↗
arXiv2009

$Υ(1S)-->γ(η',η,f_2(1270))$ decays

$Υ(1s)\toγ(η',η, f_2(1270))$ are studied by an approach in which the glueball components of these mesons play dominant role. Strong dependence on quark mass has been found in the decays $(J/ψ, Υ(1s))\toγ(η',η)$. Very small decay rates of $Υ(1s)\toγ(η',η)$ are predicted. d-wave dominance has been found in $Υ(1s)\toγf_2(1270)$, which leads to larger $B(Υ(1s)\toγf_2(1270)).$

hep-ph↗
arXiv2008

Dynamically generated heavy scalar fields in the Standard Model of Electroweak Interactions

It is shown that the gauge fixings of the Z and the W fields and three scalars are via nonconserved axial-vector and charged vector currents of massive fermions dynamically generated by fermion masses in the SM of EW interactions. The top quark mass provides enough strength for this chiral symmetry breaking. The masses of the three scalars are determined to be about $10^{14}$ GeV. These scalars have negative probability. They are the nonperturbative solutions of the SM. A new perturbation theory with dynamically generated and fixed gauge fixings is constructed. The Faddeev-Popov procedure is not invoked.

hep-ph↗
arXiv2007

Υ(1s)-->γ(η',η) decays

The decays of $Υ(1s)\toγ(η',η)$ are studied by an approach which has successfully predicted the ratio $\frac{Γ(J/ψ\toγη')}{Γ(J/ψ\toγη)}$. Strong dependence on quark mass has been found in the decays $(J/ψ, Υ(1s))\toγ(η',η)$. Very small decay rates of $Υ(1s)\toγ(η',η)$ are predicted.

hep-ph↗
arXiv2007

Pion form factor at very large $Q^2$

The pion form factor at very large $Q^2$ is obtained by using a new pion wave function. It shows that when $Q^2>>(1.8GeV)^2$ the pion form factor reaches the asymptotic limit ${α_s(Q^2)\over Q^2}$

hep-ph↗
arXiv2006

Production of a Q^2\bar{Q}^2 state in J/ψ\to γωϕ

The resonance X(1810) discovered in $J/ψ\to γωϕ$ by BESII is considered as a candidate of $0^{++}$ $Q^2\bar{Q}^2$ state. This model predicts that $X\toωϕ, K^* K^*$ are the two dominant decay channels and $X\to KK, ηη, ηη'$ are suppressed. The cross sections of $γγ\to X\to ωϕ, K^* K^*$ are estimated.

hep-ph↗
arXiv2005

Current algebra based effective chiral theory of mesons and a new EW theory

A current algebra based effective chiral theory of pseudoscalar, vector, axial-vector mesons is reviewed. A new mechanism generating the masses and guage fixing terms of gauge boson is revealed from this effective theory. A EW theory without Higgs is proposed. The masses and gauge fixing terms of W and Z are dynamically generated. Three heavy scalar fields are dynamically generated too. They are ghosts.

hep-ph↗