Exotic pentaquarks as Gamov—Teller resonances

Dmitri Diakonov

doi:10.1088/1674-1137/34/9/028

Chinese Physics C> 2010, Vol. 34> Issue(9) : 1298-1302 DOI: 10.1088/1674-1137/34/9/028

Exotic pentaquarks as Gamov—Teller resonances

Dmitri Diakonov ^,

Petersburg Nuclear Physics Institute, Gatchina 188300, St. Petersburg, Russia

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Abstract：
If the number of colors N_c is taken large, baryons and their excitations can be considered in a mean-field approach. We argue that the mean field in baryons breaks spontaneously the spherical and SU(3) flavor symmetries, but retains the SU(2) symmetry of simultaneous rotations in space and isospace. The one-quark and quark-hole excitations in the mean field, together with the SU(3) rotational bands about them determine the spectrum of baryon resonances, which turns out to be in good accordance with reality when one puts Nc=3. A by-product of this scheme is a confirmation of the light pentaquark Θ⁺ baryon uudds as a typical Gamov—Teller resonance long known in nuclear physics. An extension of the same large-N_c logic to charmed baryons leads to a prediction of a anti-decapenta (15)-plet of charmed pentaquarks, two of which, B⁺⁺_c=cuuds and B⁺_c= cudds, may be light and stable with respect to strong decays.

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Dmitri Diakonov. Exotic pentaquarks as Gamov—Teller resonances[J]. Chinese Physics C, 2010, 34(9): 1298-1302. doi: 10.1088/1674-1137/34/9/028

Dmitri Diakonov. Exotic pentaquarks as Gamov—Teller resonances[J]. Chinese Physics C, 2010, 34(9): 1298-1302. doi: 10.1088/1674-1137/34/9/028 shu

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Received: 2010-02-09
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

Exotic pentaquarks as Gamov—Teller resonances

Corresponding author: Dmitri Diakonov,

Petersburg Nuclear Physics Institute, Gatchina 188300, St. Petersburg, Russia

Received Date: 2010-02-09

Accepted Date: 1900-01-01

Available Online: 2010-09-05

Abstract:

If the number of colors N_c is taken large, baryons and their excitations can be considered in a mean-field approach. We argue that the mean field in baryons breaks spontaneously the spherical and SU(3) flavor symmetries, but retains the SU(2) symmetry of simultaneous rotations in space and isospace. The one-quark and quark-hole excitations in the mean field, together with the SU(3) rotational bands about them determine the spectrum of baryon resonances, which turns out to be in good accordance with reality when one puts Nc=3. A by-product of this scheme is a confirmation of the light pentaquark Θ⁺ baryon uudds as a typical Gamov—Teller resonance long known in nuclear physics. An extension of the same large-N_c logic to charmed baryons leads to a prediction of a anti-decapenta (15)-plet of charmed pentaquarks, two of which, B⁺⁺_c=cuuds and B⁺_c= cudds, may be light and stable with respect to strong decays.

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Exotic pentaquarks as Gamov—Teller resonances

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