Decay behavior of the strange and beauty partners of P hadronic molecules

Lin, Yong-Hui; Shen, Chao-Wei; Zou, B. S.

doi:10.1016/j.nuclphysa.2018.10.001

Cited by 31 publications

(33 citation statements)

References 54 publications

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“…(24) we can calculate the partial-wave projected tree-level amplitudes of Eqs. (8), (14), (19) and (23) with quantum number I, , S = 0, 0, 0. We denote T (00) 00;00 by V for simplicity and we have for ρρ → ππ with π-exchange…”

Section: Partial-wave Decompositionmentioning

confidence: 99%

ρρ scattering revisited with coupled channels of pseudoscalar mesons

Wang

Zou

2019

Phys. Rev. D

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The ρρ scattering has been studied by two groups which both claimed a dynamical generated scalar meson, most likely to be f 0 (1370). Here we investigate the influence of coupled-channels of pseudoscalar mesons, i.e., ππ andKK, on this dynamical generated scalar state. With the coupled channel effect included, the pole and partial decay widths are found to be more close to PDG values for f 0 (1500). * relativistic ρ propagators in solving the B-S equation for ρρ scattering. Both scalar state and tensor state associated with f 0 (1370) and f 2 (1270), respectively, were found in consistence with the conclusion of Ref. [4].From the studies of above two groups, obviously, for the energies around f 2 (1270) well below ρρ threshold, there is strong model dependence for the interaction of two far off-massshell ρ mesons. For the scalar state closer to the ρρ threshold, the two groups got similar result rather model independently. In this paper we shall study the influence of coupledchannels of pseudoscalar mesons, i.e., ππ andKK, on this dynamical generated scalar state. In the ρρ − KK coupling we consider the case of K and K * exchange, while in the ρρ − ππ coupling we consider the case of π and ω exchange. Formalism ρρ → ππ with π-exchangeWe investigate the coupled channel effect based on a chiral covariant framework [5]. We follow the formalism of the hidden gauge interaction which provides the ρππ coupling by means of the Lagrangian [12,13] (1)where the symbol . . . stands for the trace in the SU (3) space with the coupling constant g = M V /2f π with M V the mass of vector meson and f π = 93M eV the pion decay constant. The matrices V µ and P are given by

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Section: Partial-wave Decompositionmentioning

confidence: 99%

ρρ scattering revisited with coupled channels of pseudoscalar mesons

Wang

Zou

2019

Phys. Rev. D

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“…On the other hands, the two lower N ss states with J P = 3/2 − are below thresholds of all the studied V B strangeness channels. As we can see in a very recent work [32], the partial decay widths of the K * Σ and KΣ * molecular states have been investigated, and the numerical results show that the branching ratios for J P = 3/2 − N ss states are very small.…”

mentioning

confidence: 79%

“…While, as we have discussed above, the present studied N ss with J P = 3/2 − decay into the P B channels via D-wave, hence the branching ratios for this kind of decays should be small [32]. In addition, all the strangeness pseudoscalar meson and decuplet baryons channels are above the thresholds of these two obtained hidden strange pentaquark states, so the decay channel with large branching ratio may be the π∆ channel, although the coupling of N ss states to non-strange channels may be not so strong, the phase space for N ss (1885) to π∆ channel is very large.…”

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confidence: 80%

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Decay patterns of low-lying Nss¯ states via strangeness channels

An¹,

Xie²,

Li³

2018

Phys. Rev. C

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Here we investigate the decay patterns of the low-lying hidden strangeness nucleon resonances (≡ N ss ) to the strangeness channels by employing the chiral Lagrangian approach, where the N ss states are treated as compact pentaquark states. The S-wave decays of these states to the P B (pseudoscalar meson and baryon) and V B (vector meson and baryon) channels are studied.According to the obtained masses and decay properties, we find four states, namely, N ss (1874) with quantum numbers I(J P ) = 1/2(1/2 − ), N ss (1885) with I(J P ) = 1/2(3/2 − ), N ss (2327) with I(J P ) = 1/2(1/2 − ), and N ss (2252) with I(J P ) = 1/2(3/2 − ), may be associated to the well established nucleon resonances N * (1895), N * (1875), and the newly predicted N * (2355) and N * (2250) by CLAS collaboration, respectively. In addition, several other obtained hidden strangeness nucleon resonances may be expected to be dominant components of the predicted missing resonances in the literatures. * Electronic address: gli@mail.qfnu.edu.cnRecently, triggered by the observation of the P + c pentaquark states, the hidden strange pentaquark states as η ′ N and φN bound states [26], KΣ * and K * Σ bound states [27,28], and compact five-quark states [29] were investigated. In Ref. [30], a possible φp resonance was investigated in the Λ + c → π 0 φp decay by considering a triangle singularity mechanism, where the obtained φp invariant mass distribution agrees with the existing data. It is very

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“…The decay pattern of the pentaquarks is another way to check their internal structure. In the literature, the decays of the P c states have been studied by many authors [24][25][26]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Molecular states from $$\varSigma ^{()}_c{\bar{D}}^{()}-\varLambda _c{\bar{D}}^{(*)}$$ interaction

Chen

2019

Eur. Phys. J. C

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In this work, we systemically investigate the molecular states from the Σ (*) cD (*) −Λ cD (*) interaction with the help of the Lagrangians with heavy quark and chiral symmetries in a quasipotential Bethe-Salpeter equation (qBSE) approach. The molecular states are produced from isodoublet (I=1/2) Σ cD interaction with spin parity J P = 1/2 − and Σ cD * interaction with 1/2 − and 3/2 −. Their masses and widths are consistent with the P c (4312), P c (4440) and P c (4457) observed at LHCb. The states, Σ * cD * (1/2 −), Σ * cD * (3/2 −) and Σ * cD (3/2 −), are also produced with the same parameters. The isodoublet Σ * cD * interaction with 5/2 − , as well as the isoquartet (I=3/2) Σ cD * interactions with 1/2 − and 3/2 − , Σ * cD * interaction with 3/2 − and 5/2 − , are also attractive while very large cutoff is required to produce a molecular state. We also investigate the origin of the widths of these molecular states in the same qBSE frame. The ΛD * channel is dominant in the decays of the states, Σ cD * (1/2 −), Σ cD * (3/2 −), Σ * cD (3/2 −), and Σ cD (1/2 −). The Σ * cD * (1/2 −) state has large coupling to Σ cD channel while the Σ cD * , Σ * cD and Λ cD * channels provide similar contributions to the width of the Σ * cD * (3/2 −) state. These results will be helpful to understand the current LHCb experimental results, and the three predicted states and the decay pattern of these hidden-charmed molecular pentaquarks can be checked in future experiments.

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Decay behavior of the strange and beauty partners of P hadronic molecules

Cited by 31 publications

References 54 publications

ρρ scattering revisited with coupled channels of pseudoscalar mesons

ρρ scattering revisited with coupled channels of pseudoscalar mesons

Decay patterns of low-lying Nss¯ states via strangeness channels

Molecular states from $$\varSigma ^{()}_c{\bar{D}}^{()}-\varLambda _c{\bar{D}}^{(*)}$$ interaction

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Decay behavior of the strange and beauty partners of P hadronic molecules

Cited by 31 publications

References 54 publications

ρρ scattering revisited with coupled channels of pseudoscalar mesons

ρρ scattering revisited with coupled channels of pseudoscalar mesons

Decay patterns of low-lying Nss¯ states via strangeness channels

Molecular states from $$\varSigma ^{(*)}_c{\bar{D}}^{(*)}-\varLambda _c{\bar{D}}^{(*)}$$ interaction

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Molecular states from $$\varSigma ^{()}_c{\bar{D}}^{()}-\varLambda _c{\bar{D}}^{(*)}$$ interaction