Nature of the 
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 in partial wave decomposition of 
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 scattering

Zhang, Qi; Guo, Di; Kuang, Shi-Qing; Yang, Qin-He; Dai, L.

doi:10.1103/physrevd.106.l111502

Cited by 9 publications

(9 citation statements)

References 48 publications

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“…However, as we have pointed out in Ref. [38], it still contributes to the amplitudes significantly as a background. This also demonstrates the correctness of our choice of a couple-channels model.…”

Section: Datamentioning

confidence: 73%

“…The Feynman diagrams up to next-to-leading order (NLO) can be seen in Ref. [38]. In the appendix A, we give the concrete expression of the amplitude T ij .…”

Section: Formalism a Effective Lagrangians And Scattering Amplitudesmentioning

confidence: 99%

“…The partial wave amplitudes T J,ij µ1µ2;µ3µ4 (s) can be obtained in Ref. [38]. Indeed, each polarization vector of Eq.…”

Section: B Partial Wave Decompositionmentioning

confidence: 99%

“…The unitarity of the partial wave amplitudes in terms of the |JM LS representation is given as [38,[52][53][54]. | p |, E cm are the modulus of the three-momentum and energy of one of the particles in the intermediate process.…”

Section: Unitarizatonmentioning

confidence: 99%

“…In our earlier work [38], we perform an amplitude analysis to extract the pole parameters (mass, width, and residues). Nonetheless, the previous work is only about the LCHb's data, and we need to update it to include the new measurements from ATLAS and CMS.…”

mentioning

confidence: 99%

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Study of $X(6900)$ with unitarized coupled channel scattering amplitudes

Kuang¹,

Zhou²,

Guo³

et al. 2023

Preprint

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In this paper, we study the resonant state X(6900). The scattering amplitudes of coupled channels, J/ψJ/ψ-J/ψψ(2S)-J/ψψ(3770), are constructed with the interaction of four vector mesons described by effective Lagrangians. The amplitudes are calculated up to one loop, decomposed by partial wave projection, and unitarized by Padé approximation. These amplitudes are fitted to the latest experimental data sets of di-J/ψ and J/ψψ(2S) invariant mass spectra of LHCb, CMS, and ATLAS. High-quality solutions are obtained. With these partial wave amplitudes, we extract the pole parameters of the X(6900). Its quantum number is likely to be 0 ++ . According to the pole counting rule as well as analysis of the phase shifts of the partial waves, it supports our previous conclusion that the X(6900) prefers to be a compact tetra-quark. I. INTRODUCTIONSince the 1960s, quark model [1-3] has turned out to be a successful classification scheme for hadrons, that is, a meson is composed of a pair of quark and anti-quark, and a baryon/anti-baryon is composed of three quarks/antiquarks. Hundreds of hadrons listed in the particle data group (PDG) [4] can be formed as such inner structure. However, until now, there is no fundamental principle to rule out other inner structures of hadrons, such as hadronic molecules, quark-gluon hybrids, glueballs, and multi-quark states. Searching for exotic states remains a keen interest of the physics community. In 2003, a tetraquark candidate, X(3872), was discovered by Belle [5] and other collaborations [6][7][8]. In 2013, BESIII and Belle discovered the Z + c (3900) [9,10] in the J/ψπ + invariant mass spectrum, implying the cc du component. In 2015, LHCb discovered two P c states [11] and later they are found to be 'splitted' into three such states [12], P + c (4312), P + c (4440), P + c (4457), with about nine more times decay events collected. The P c s are observed in the J/ψp invariant mass spectra, and hence they should contain at least five quarks, ccuud. In 2021, LHCb discovered the T + cc in D 0 D 0 π + invariant mass spectrum [13,14]. This further grasps the attention of theorists as it is very likely to be evidence for multi-quark states, ccū d. All these exotic hadrons observed so far contain at most two heavy (charm or bottom) quarks/anti-quarks, but as many models predicted, there should also be multi-quark states composed of three or more heavy quarks/anti-quarks [15][16][17][18][19]. This is confirmed by the very recent experiment of LHCb collaboration [20]. With the datasets of proton-proton collision in the center-of-mass energies √ s = 7, 8 and 13 TeV collected by the LHCb detector, the invariant mass spectrum of J/ψJ/ψ was measured in the energy range of [6.2-7.4] Gev/c 2 , and a narrow structure was found near 6.9Gev/c 2 , labeled as X(6900), with the signal statistical significance being larger than 5 σ. Its mass and width are given in two ways: On the one hand, they assume that the non-resonant single-parton scattering (NRSPS) continuum is not disturbed, and Breit-Wigner forms fi...

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Section: Datamentioning

confidence: 73%

“…The Feynman diagrams up to next-to-leading order (NLO) can be seen in Ref. [38]. In the appendix A, we give the concrete expression of the amplitude T ij .…”

Section: Formalism a Effective Lagrangians And Scattering Amplitudesmentioning

confidence: 99%

“…The partial wave amplitudes T J,ij µ1µ2;µ3µ4 (s) can be obtained in Ref. [38]. Indeed, each polarization vector of Eq.…”

Section: B Partial Wave Decompositionmentioning

confidence: 99%

Section: Unitarizatonmentioning

confidence: 99%

mentioning

confidence: 99%

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Study of $X(6900)$ with unitarized coupled channel scattering amplitudes

Kuang¹,

Zhou²,

Guo³

et al. 2023

Preprint

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A discussion on the anomalous threshold enhancement of – couplings and peak*

Lu 陆,

Chen 陈,

Qin 秦

et al. 2024

Chinese Phys. C

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The attractive interaction between $J/\psi$ and $\psi(3770)$ has to be strong enough if $X(6900)$ is of molecule type. We argue that since $\psi(3770)$ decays predominantly into a $D\bar D$ pair, the interactions between $J/\psi$ and $\psi(3770)$ may be significantly enhanced due to the three point $D\bar D$ loop diagram. The enhancement comes from the anomalous threshold located at $t=-1.288$GeV$^2$, which effect propagates into the $s$-channel partial wave amplitude in the vicinity of $\sqrt{s}\simeq 6.94$GeV. This effect may be helpful in forming the $X(6900)$ peak.Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

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Going in quest of potential tetraquark interpretations for the newly observed Tψψ states in light of the diquark-antidiquark scenarios

Dong

Wang

2023

Phys. Rev. D

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Nature of the X(6900) in partial wave decomposition of J/ψJ/ψ scattering

Cited by 9 publications

References 48 publications

Study of $X(6900)$ with unitarized coupled channel scattering amplitudes

Study of $X(6900)$ with unitarized coupled channel scattering amplitudes

A discussion on the anomalous threshold enhancement of – couplings and peak*

Going in quest of potential tetraquark interpretations for the newly observed Tψψ states in light of the diquark-antidiquark scenarios

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