Different pole structures in line shapes of the X(3872)

Kang, Xian-Wei; Oller, J. A.

doi:10.1140/epjc/s10052-017-4961-z

Cited by 102 publications

(87 citation statements)

References 74 publications

(252 reference statements)

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“…In our calculation, although it is found to be a bound state, we can not exclude the possibility of a virtual state nature [25,26], since only a small shift down of the γ parameter will move it to the second sheet. In [27], improving the approach adopted in [28], a dispersion relation method combined with the QPC model is also used in discussing the charmonium-like states, where X(3872) can also be produced.…”

mentioning

confidence: 72%

Understanding X(3862) , X(3872) , and
Zhou
¹
,
Xiao
²

2017
Phys. Rev. D

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We developed a Friedrichs-model-like scheme in studying the hadron resonance phenomenology and present that the hadron resonances might be regarded as the Gamow states produced by a Hamiltonian in which the bare discrete state is described by the result of usual quark potential model and the interaction part is described by the quark pair creation model. In a one-parameter calculation, the X(3862), X(3872), and X(3930) state could be simultaneously produced with a quite good accuracy by coupling the three P-wave states, χc2(2P ), χc1(2P ), χc0(2P ) predicted in the Godfrey-Isgur model to the DD, DD * , D * D * continuum states. At the same time, we predict that the hc(2P ) state is at about 3902 MeV with a pole width of about 54 MeV. In this calculation, the X(3872) state has a large compositeness. This scheme may shed more light on the long-standing problem about the general discrepancy between the prediction of the quark model and the observed values, and it may also provide reference for future search for the hadron resonance state.PACS numbers: 12.39. Jh, 13.25.Gv, 13.75.Lb, 11.55.Fv As regards the charmonium spectrum above the openflavor thresholds, general discrepancies between the predicted masses in the quark potential model and the observed values have been highlighted for several years. Typically, among the P-wave n 2s+1 L J = 2 3 P 2 , 2 3 P 1 , 2 3 P 0 , and 2 1 P 1 states, the X(3930), discovered by the Belle Collaboration [1], is now assigned to χ c2 (2P ) charmonium state though its mass is about 50 MeV lower than the prediction in the quark potential model [2][3][4]. The properties of the other P-wave states have not been firmly determined yet. The X(3872) was first observed in the B ± → K ± J/ψπ + π − by the Belle Collaboration in 2003 [5]. Although its quantum number is 1 ++ , the same as the χ c1 (2P ), the pure charmonium interpretation was soon given up for the difficulties in explaining its decays. The pure molecular state explanation of X(3872) also encounters difficulties in understanding its radiative decays. So its nature remains to be obscure up to now. As for the χ c0 (2P ) state, the X(3915) is assigned to it several years ago, but this assignment is questioned for the mass splitting between χ c2 (2P ) and χ c0 (2P ), and its dominant decay mode [6,7]. In Ref.[8], analyses of the angular distribution of X(3915) to the final leptonic and pionic states also support the possibility of being a 2 ++ state, which means that it might be the same tensor state as the X(3930). Very recently, the Belle Collaboration announced a new result about the signal of X(3862) which could be a candidate for the χ c0 (2P ) [9]. The 2 1 P 1 state has not been discovered yet. These puzzles have been discussed exhaustively in the literatures (see refs. [10][11][12] for example), but a consistent description is still missing.In this paper, we adopt the idea of Gamow states and the solvable extended Friedrichs model developed recently [13][14][15], usually discussed in the pure mathematical physics literatur...

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mentioning

confidence: 72%

Understanding X(3862) , X(3872) , and
Zhou
¹
,
Xiao
²

2017
Phys. Rev. D

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“…Another possible explanation suggests that some of these states may be the result of kinematic effects [19,20] that appear in the nearby of the thresholds of the open charm channels. The interpretation of these resonances depends, to a certain extent, on the theoretical approach that is followed to perform the amplitude analysis of the data [21,22] and to study charmonium spectroscopy.…”

Section: Introductionmentioning

confidence: 99%

Charmonium spectrum with a Dirac potential model in the momentum space

2017

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We study the charmonium spectrum using a complete one gluon exchange approach based on a phenomenological relativistic qq potential model with Dirac spinors in momentum space. We use phenomenological screening factors to include vacuum quantum effects. Our formulation does not rely on nonrelativistic approximations. We fit the lowest-lying charmonia (below the DD threshold) and predict the higher-lying resonances of the spectrum. In general, we reproduce the overall structure of the charmonium spectrum and, in particular, we can reasonably describe the X(3872) resonance mass as (mostly) a cc state. The numerical values of the free parameters of the model are determined taking into account also the experimental uncertainties of the resonance energies. In this way, we are able to obtain the uncertainties of the theoretical resonance masses and the correlation among the free parameters of the model.

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“…The details of used methods, necessary explanations, and conclusions made there concerning a nature of the resonance X(5568) can be found in the original papers [29][30][31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Resonance X(5568) as an exotic axial-vector state

et al. 2017

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The mass and meson-current coupling constant of the resonance X(5568), as well as the width of the decay X(5568) → B * s π are calculated by modeling the exotic X(5568) resonance as a diquarkantidiquark state X b = [su][bd] with quantum numbers J P = 1 + . The calculations are made employing QCD two-point sum rule method, where the quark, gluon and mixed vacuum condensates up to dimension eight are taken into account. The sum rule approach on the light-cone in its softmeson approximation is used to explore the vertex X b B * s π and extract the strong coupling gX b B * s π , which is a necessary ingredient to find the width of the X b → B * s π + decay process. The obtained predictions are compared with the experimental data of the D0 Collaboration, and results of other theoretical works.

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Different pole structures in line shapes of the X(3872)

Cited by 102 publications

References 74 publications

Understanding X(3862) , X(3872) , and
Zhou
¹
,
Xiao
²

2017
Phys. Rev. D

Understanding X(3862) , X(3872) , and
Zhou
¹
,
Xiao
²

2017
Phys. Rev. D

Charmonium spectrum with a Dirac potential model in the momentum space

Resonance X(5568) as an exotic axial-vector state

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Different pole structures in line shapes of the X(3872)

Cited by 102 publications

References 74 publications

Understanding X(3862) , X(3872) , and Zhou1, Xiao2 2017Phys. Rev. D

Understanding X(3862) , X(3872) , and Zhou1, Xiao2 2017Phys. Rev. D

Charmonium spectrum with a Dirac potential model in the momentum space

Resonance X(5568) as an exotic axial-vector state

Contact Info

Product

Resources

About

Understanding X(3862) , X(3872) , and
Zhou
¹
,
Xiao
²

2017
Phys. Rev. D

Understanding X(3862) , X(3872) , and
Zhou
¹
,
Xiao
²

2017
Phys. Rev. D