Construction of multiquark states in group theory

Yan, Yupeng; Srisuphaphon, Sorakrai

doi:10.1016/j.ppnp.2012.01.017

Cited by 7 publications

(14 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The P c wave function in this work can be considered in two parts, q 3 and cc. For q 3 part, the permutation symmetry of the q 3 part is characterized by the S 3 young tabloids [3], [21], [111]. The color part of q 3 can be both the [111] and [21] configurations while the color part of cc are also [111] and [21], so the color singlet wave functions of P c states are either in a color singlet-singlet or a color octet-octet configuration, taking the form,…”

Section: Pc Wave Functions In Compact Pentaquark Picturementioning

confidence: 99%

“…The spin-flavor part of the q 3 cluster is in the [21] configuration for the color octet-octet configuration, and thus the q 3 wave function is in the form,…”

Section: Pc Wave Functions In Compact Pentaquark Picturementioning

confidence: 99%

“…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%

“…In the calculation, we have considered only the S-wave decay since the mass thresholds for all the final states are very close to the mass of the P c resonances. Among the 17 compact pentaquark states, the state of spin 5/2 in the ψ [21] C [21] F [3] S [χ1] configuration has no any allowed decay channel. 0.12 0.09 0.34…”

Section: Fig 2 Open Charm Decay Process (Cross Process)mentioning

confidence: 99%

See 3 more Smart Citations

P _c resonances in the compact pentaquark picture

Ruangyoo

Phumphun

et al. 2022

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

View full text Add to dashboard Cite

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.

show abstract

Section: Pc Wave Functions In Compact Pentaquark Picturementioning

confidence: 99%

“…The spin-flavor part of the q 3 cluster is in the [21] configuration for the color octet-octet configuration, and thus the q 3 wave function is in the form,…”

Section: Pc Wave Functions In Compact Pentaquark Picturementioning

confidence: 99%

“…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%

Section: Fig 2 Open Charm Decay Process (Cross Process)mentioning

confidence: 99%

See 2 more Smart Citations

P _c resonances in the compact pentaquark picture

Ruangyoo

Phumphun

et al. 2022

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

View full text Add to dashboard Cite

show abstract

“…In this work we study the role of pentaquark components in low-lying baryon resonance states. The constructions of light pentaquark wave functions in the Yamanouchi technique have been formulated in the previous works [19][20][21][22]. As a consequence, the light baryon resonance spectrum is newly reproduced by mixing three quark and pentaquark components.…”

Section: Introductionmentioning

confidence: 99%

Pentaquark components in low-lying baryon resonances

Kaewsnod

Zhao

et al. 2020

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

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. *

show abstract

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

Kaewsnod

Liu

et al. 2019

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

Permutation groups are applied to analyze the symmetries of pentaquark states. All possible quark configurations of the color, flavor, spin and spatial degrees of freedom are worked out in the language of permutation groups, and the corresponding wave functions are constructed systematically in the form of Yamanouchi basis. The pentaquark spatial wave functions of various symmetries, which are derived in the harmonic-oscillator interaction, are applied as complete bases to evaluate the low-lying light q 4 q pentaquark mass of all configurations, where the Cornell-like potential is employed.

show abstract

Construction of multiquark states in group theory

Cited by 7 publications

References 3 publications

P _c resonances in the compact pentaquark picture

P _c resonances in the compact pentaquark picture

Pentaquark components in low-lying baryon resonances

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

Contact Info

Product

Resources

About

Construction of multiquark states in group theory

Cited by 7 publications

References 3 publications

P c resonances in the compact pentaquark picture

P c resonances in the compact pentaquark picture

Pentaquark components in low-lying baryon resonances

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

Contact Info

Product

Resources

About

P _c resonances in the compact pentaquark picture

P _c resonances in the compact pentaquark picture