Relativistic Quark Model and the N-Δ Mass Splitting

FENG Qing-Guo; DONG Yu-Bing

Chinese Physics C> 2002, Vol. 26> Issue(1) : 21-27

Relativistic Quark Model and the N-Δ Mass Splitting

FENG Qing-Guo ^, ,
DONG Yu-Bing

Institute of High Energy Physics, CAS, Beijing 100039, China

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Abstract：
In the constituent quark model, light baryons are considered as the systems of the constituent quarks with confining interaction and with a chiral interaction mediated by Goldstone bosons. Here the masses of the N and Δ and their splitting are investigated based on a relativistic quark model approach with inclusion of pion meson cloud. Pseudoscalar π-quark interaction is employed to study the coupling between the mucleon and the π. The results show the contributions of the one-gluon-exchange potential and of the pion meson cloud to the N-Δ mass splitting. Moreover, our numerical analyses indicate a difference between the relativistic and the nonrelativistic treatments.

References

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FENG Qing-Guo and DONG Yu-Bing. Relativistic Quark Model and the N-Δ Mass Splitting[J]. Chinese Physics C, 2002, 26(1): 21-27.

FENG Qing-Guo and DONG Yu-Bing. Relativistic Quark Model and the N-Δ Mass Splitting[J]. Chinese Physics C, 2002, 26(1): 21-27. shu

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Received: 2001-01-15
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Relativistic Quark Model and the N-Δ Mass Splitting

FENG Qing-Guo ^,
DONG Yu-Bing

Corresponding author: FENG Qing-Guo,

Institute of High Energy Physics, CAS, Beijing 100039, China

Received Date: 2001-01-15
Accepted Date: 1900-01-01
Available Online: 2002-01-05

Abstract: In the constituent quark model, light baryons are considered as the systems of the constituent quarks with confining interaction and with a chiral interaction mediated by Goldstone bosons. Here the masses of the N and Δ and their splitting are investigated based on a relativistic quark model approach with inclusion of pion meson cloud. Pseudoscalar π-quark interaction is employed to study the coupling between the mucleon and the π. The results show the contributions of the one-gluon-exchange potential and of the pion meson cloud to the N-Δ mass splitting. Moreover, our numerical analyses indicate a difference between the relativistic and the nonrelativistic treatments.