Dibaryons in a constituent quark model

Woosung Park, Aaron Park, Su Houng Lee

Research output: Contribution to journalArticle

28 Citations (Scopus)

Abstract

We investigate the properties of dibaryons containing u and d quarks in the constituent quark model. In constructing the ground state wave function, we choose the spatial part to be fully symmetric and the remaining color, isospin, and spin part to be antisymmetric so as to satisfy the Pauli principle. By adapting the isospin spin (IS) coupling scheme that combines the isospin basis function with the spin basis function, and subsequently coupling this to the color singlet basis function, we construct the color isospin spin states compatible with the physical states of the dibaryon. By using the variational method, we then calculate the mass of the dibaryon in a nonrelativistic potential model, involving Coulomb, color confinement, and color-spin hyperfine interaction. In particular, to assess the stability for different types of the confinement potential, we introduce one that is linearly proportional to the interquark distance and another to its square root. For all cases considered, we find that there are no compact bound states against the strong decay.

Original languageEnglish
Article number014037
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume92
Issue number1
DOIs
Publication statusPublished - 2015 Jul 31

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quark models
color
wave functions
quarks
ground state
decay
interactions

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "We investigate the properties of dibaryons containing u and d quarks in the constituent quark model. In constructing the ground state wave function, we choose the spatial part to be fully symmetric and the remaining color, isospin, and spin part to be antisymmetric so as to satisfy the Pauli principle. By adapting the isospin spin (IS) coupling scheme that combines the isospin basis function with the spin basis function, and subsequently coupling this to the color singlet basis function, we construct the color isospin spin states compatible with the physical states of the dibaryon. By using the variational method, we then calculate the mass of the dibaryon in a nonrelativistic potential model, involving Coulomb, color confinement, and color-spin hyperfine interaction. In particular, to assess the stability for different types of the confinement potential, we introduce one that is linearly proportional to the interquark distance and another to its square root. For all cases considered, we find that there are no compact bound states against the strong decay.",
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Dibaryons in a constituent quark model. / Park, Woosung; Park, Aaron; Lee, Su Houng.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 92, No. 1, 014037, 31.07.2015.

Research output: Contribution to journalArticle

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