Theory of baryon resonances at large N-c
(2013) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 88(7).- Abstract
- At large number of colors, N-c quarks in baryons are in a mean field of definite space and flavor symmetry. We write down the general Lorentz and flavor structure of the mean field, and derive the Dirac equation for quarks in that field. The resulting baryon resonances exhibit a hierarchy of scales: the crude mass is O(N-c), the intrinsic quark excitations are O(1), and each intrinsic quark state entails a finite band of collective excitations that are split as O(1/N-c). We build a (new) theory of these collective excitations, where the full dynamics is represented by only a few constants. In a limiting (but unrealistic) case when the mean field is spherically and flavor symmetric, our classification of resonances reduces to the SU(6)... (More)
- At large number of colors, N-c quarks in baryons are in a mean field of definite space and flavor symmetry. We write down the general Lorentz and flavor structure of the mean field, and derive the Dirac equation for quarks in that field. The resulting baryon resonances exhibit a hierarchy of scales: the crude mass is O(N-c), the intrinsic quark excitations are O(1), and each intrinsic quark state entails a finite band of collective excitations that are split as O(1/N-c). We build a (new) theory of these collective excitations, where the full dynamics is represented by only a few constants. In a limiting (but unrealistic) case when the mean field is spherically and flavor symmetric, our classification of resonances reduces to the SU(6) classification of the old nonrelativistic quark model. Although in the real world N-c is only three, we obtain a good accordance with the observed resonance spectrum up to 2 GeV. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4212738
- author
- Diakonov, Dmitri ; Petrov, Victor and Vladimirov, Alexey LU
- organization
- publishing date
- 2013
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review D (Particles, Fields, Gravitation and Cosmology)
- volume
- 88
- issue
- 7
- article number
- 074030
- publisher
- American Physical Society
- external identifiers
-
- wos:000326111000004
- scopus:84887086131
- ISSN
- 1550-2368
- DOI
- 10.1103/PhysRevD.88.074030
- project
- Postdoc Alexey Vladimirov
- language
- English
- LU publication?
- yes
- id
- c95839aa-fea0-47bf-a1bb-2007262ff0f7 (old id 4212738)
- date added to LUP
- 2016-04-01 10:11:15
- date last changed
- 2024-03-24 03:47:43
@article{c95839aa-fea0-47bf-a1bb-2007262ff0f7,
abstract = {{At large number of colors, N-c quarks in baryons are in a mean field of definite space and flavor symmetry. We write down the general Lorentz and flavor structure of the mean field, and derive the Dirac equation for quarks in that field. The resulting baryon resonances exhibit a hierarchy of scales: the crude mass is O(N-c), the intrinsic quark excitations are O(1), and each intrinsic quark state entails a finite band of collective excitations that are split as O(1/N-c). We build a (new) theory of these collective excitations, where the full dynamics is represented by only a few constants. In a limiting (but unrealistic) case when the mean field is spherically and flavor symmetric, our classification of resonances reduces to the SU(6) classification of the old nonrelativistic quark model. Although in the real world N-c is only three, we obtain a good accordance with the observed resonance spectrum up to 2 GeV.}},
author = {{Diakonov, Dmitri and Petrov, Victor and Vladimirov, Alexey}},
issn = {{1550-2368}},
language = {{eng}},
number = {{7}},
publisher = {{American Physical Society}},
series = {{Physical Review D (Particles, Fields, Gravitation and Cosmology)}},
title = {{Theory of baryon resonances at large N-c}},
url = {{http://dx.doi.org/10.1103/PhysRevD.88.074030}},
doi = {{10.1103/PhysRevD.88.074030}},
volume = {{88}},
year = {{2013}},
}