Complete basis for the pentaquark wave function in a group theory approach

Pc resonances are studied in the approach of quark model and group theory. It is found that there are totally 17 possible pentaquark states with the quark contents $q^3Q \bar{Q}$ (q are u and d quarks; Q is c quark) in the compact pentaquark picture, where the hidden heavy pentaquark states may take the color singlet-singlet ($[111]_{{qqq}}\otimes [111]_{{c \bar c}}$) and color octet-octet ($[21]_{{qqq}}\otimes [21]_{{c \bar c}}$) configurations. The partial decay widths of hidden heavy pentaquark states are calculated for all possible decay channels. The results show that the p J/φ is the dominant decay channel for both the spin 3/2 and 1/2 pentaquark states, and indicate that the Pc(4440) may not be a compact pentaquark state while Pc(4312) and Pc(4457) could be the spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ pentaquark states, respectively.

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“…The possible spin-flavor configurations of the q 3 cluster, listed in Table I, are taken from the previous studies in Refs. [20][21][22][23].…”

Section: Pc Wave Functions In Compact Pentaquark Picturementioning

confidence: 99%

P _c resonances in the compact pentaquark picture

Ruangyoo

Phumphun

et al. 2022

J. Phys. G: Nucl. Part. Phys.

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“…The algebraic structure consists of the color and spin-flavor algebras, SU (3) c ⊗ SU (6) sf where SU (6) sf = SU (3) f ⊗ SU (2) s . The permutation symmetries are characterized by the S 3 Young tabloids [3], [21] and [111], and the S 2 Young tabloids [2] and [11]. The total wave function of pentaquark states must be the color-singlet [222] and may be constructed from the states of the baryon and meson clusters,…”

Section: Wave Function Constructionmentioning

confidence: 99%

“…The paper is arranged as follows. The quark configurations and wave functions of all ground hidden-charm pentaquark states are derived by applying the group theory [21][22][23][24][25] in Sec. II.…”

Section: Introductionmentioning

confidence: 99%

$P_c$ Resonances in Molecular Picture

Phumphan¹,

Xu²,

Ruangyoo³

et al. 2021

Preprint

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We study hidden-charm pentaquarks in the baryon-meson molecule picture within the framework of the constituent quark model, considering all the possible quark configurations for the ground state. The strong decays of the Pc(4312), Pc(4440), and Pc(4457) resonances are investigated. It is found that pentaquark states of all quark configurations in the model can decay through the N J/ψ channel, but only five pentaquark states may decay dominantly in open-charm modes. The partial decay widths in the pηc channel are in the same order as in the pJ/ψ channel for J P = 1/2 − baryonmeson pentaquark states, but the pηc channel is forbidden for J P = 3/2 − states. For Pc(4440) and Pc( 4457), the pηc, Σc D and Λ + c D channels are open only for J P = 1/2 − and the Σ * c D channel is open only for J P = 3/2 − while for Pc(4312), due to the mass threshold of Σc D and Σ * c D higher than 4312 MeV, the pηc and Λ + c D channels are open for J P = 1/2 − but no open-charm cannel open for J P = 3/2 − . We strongly suggest that the spin of the Pc resonances may be determined in experiments by investigating the pηc and open-charm channels.

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“…A group theory approach to construct the wave functions for baryon and pentaquark states has been described in Refs. [19][20][21][22], and we refer the readers to those works for details. Here, we just present the general Hamiltonian for multiquark systems,…”

Section: Theoretical Modelmentioning

confidence: 99%

“…where ω i are weights being 1 for all the states except for N(939) and ∆(1232) which are set to be 100, M exp and M cal are respectively the experimental and theoretical masses. Listed in Tables I, II Similar model parameters were obtained in the previous work [22]. The parameters fixed in the work are slightly different from the preliminary ones since charm and bottom baryons are included and more accurate method is used for the model fixing.…”

Section: Theoretical Modelmentioning

confidence: 99%

Pentaquark components in low-lying baryon resonances

Kaewsnod

Zhao

et al. 2020

Phys. Rev. D

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We study pentaquark states of both light q 4q and hidden heavy q 3 QQ (q = u,d,s quark in SU(3) flavor symmetry; Q = c, b quark) systems with a general group theory approach in the constituent quark model, and the spectrum of light baryon resonances in the ansatz that the l = 1 baryon states may consist of the q 3 as well as q 4q pentaquark component. The model is fitted to ground state baryons and light baryon resonances which are believed to be normal three-quark states. The work reveals that the N (1535)1/2 − and N (1520)3/2 − may consist of a large q 4q component while the N (1895)1/2 − and N (1875)3/2 − are respectively their partners, and the N + (1685) might be a q 4q state. By the way, a new set of color-spin-flavor-spatial wave function for q 3 QQ systems in the compact pentaquark picture are constructed systematically for studying hidden charm pentaquark states. *

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Complete basis for the pentaquark wave function in a group theory approach

Cited by 15 publications

References 24 publications

P _c resonances in the compact pentaquark picture

P _c resonances in the compact pentaquark picture

$P_c$ Resonances in Molecular Picture

Pentaquark components in low-lying baryon resonances

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Complete basis for the pentaquark wave function in a group theory approach

Cited by 15 publications

References 24 publications

P c resonances in the compact pentaquark picture

P c resonances in the compact pentaquark picture

$P_c$ Resonances in Molecular Picture

Pentaquark components in low-lying baryon resonances

Contact Info

Product

Resources

About

P _c resonances in the compact pentaquark picture

P _c resonances in the compact pentaquark picture