Abstract:
We consider configuration mixing for the nonstrange positive parity excited baryons in the [56′,0+], [56,2+], [70,0+], and [70,2+] quark model SU(6)×O(3) multiplets contained in the N=2 band. Starting from the effective mass operator for these states, we show by an explicit calculation that in the large Nc limit they fall into six towers of degenerate states labeled by K=0,1,1′,2,2′,3. We find that the mixing of the spin-flavor states is much simpler than what is naively expected in the quark model. To leading order in Nc, only states carrying the same K label can mix, which implies that, for the spin-flavor states we started with, configuration mixing can be parameterized by just two constants: μK=1 and μK=2. The obtained mass degeneracies and mixing pattern constitute a signature of the contracted spin-flavor symmetry for baryons in the large Nc limit. © 2017 American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Towers of positive parity excited baryons and their mixing in the large Nc limit |
Autor: | Willemyns, C.; Schat, C. |
Filiación: | Departamento de Física, FCEyN, Universidad de Buenos Aires, IFIBA, CONICET, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina Ökumenisches Gymnasium zu Bremen, Oberneulander Landstrasse 143a, Bremen, 28355, Germany
|
Año: | 2017
|
Volumen: | 95
|
Número: | 9
|
DOI: |
http://dx.doi.org/10.1103/PhysRevD.95.094007 |
Título revista: | Physical Review D
|
Título revista abreviado: | Phy. Rev. D
|
ISSN: | 24700010
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24700010_v95_n9_p_Willemyns |
Referencias:
- Capstick, S., Roberts, W., (2000) Prog. Part. Nucl. Phys., 45, p. S241
- Klempt, E., Richard, J.M., (2010) Rev. Mod. Phys., 82, p. 1095
- Crede, V., Roberts, W., (2013) Rep. Prog. Phys., 76, p. 076301
- Edwards, R.G., Dudek, J.J., Richards, D.G., Wallace, S.J., (2011) Phys. Rev. D, 84, p. 074508
- Edwards, R.G., Mathur, N., Richards, D.G., Wallace, S.J., (2013) Phys. Rev. D, 87, p. 054506. , (Hadron Spectrum Collaboration)
- 'T Hooft, G., (1974) Nucl. Phys., B72, p. 461
- Witten, E., (1979) Nucl. Phys., B160, p. 57
- Lucini, B., Panero, M., (2013) Phys. Rep., 526, p. 93
- Gervais, J.L., Sakita, B., (1984) Phys. Rev. Lett., 52, p. 87
- Gervais, J.L., Sakita, B., (1984) Phys. Rev. D, 30, p. 1795
- Bardakci, K., (1984) Nucl. Phys., B243, p. 197
- Dashen, R.F., Manohar, A.V., (1993) Phys. Lett. B, 315, p. 425
- Jenkins, E.E., (1993) Phys. Lett. B, 315, p. 441
- Dashen, R.F., Jenkins, E.E., Manohar, A.V., (1994) Phys. Rev. D, 49, p. 4713
- Dashen, R.F., Jenkins, E.E., Manohar, A.V., (1995) Phys. Rev. D, 51, p. 2489
- Carone, C., Georgi, H., Osofsky, S., (1994) Phys. Lett. B, 322, p. 227
- Luty, M.A., March-Russell, J., (1994) Nucl. Phys., B426, p. 71
- Dashen, R.F., Jenkins, E.E., Manohar, A.V., (1995) Phys. Rev. D, 51, p. 3697
- Manohar, A.V., Probing the Standard Model of Particle Interactions (1999) Proceedings of the les Houches Summer School, , in, Session LXVIII, edited by R. Gupta, A. Morel, E. de Rafael, and F. David (Elsevier, Amsterdam)
- Jenkins, E.E., (1998) Annu. Rev. Nucl. Part. Sci., 48, p. 81
- Lebed, R.F., (1999) Czech. J. Phys., 49, p. 1273
- Goity, J.L., (1997) Phys. Lett. B, 414, p. 140
- Pirjol, D., Yan, T.M., (1998) Phys. Rev. D, 57, p. 1449
- Pirjol, D., Yan, T.M., (1998) Phys. Rev. D, 57, p. 5434
- Carlson, C.E., Carone, C.D., Goity, J.L., Lebed, R.F., (1999) Phys. Rev. D, 59, p. 114008
- Schat, C.L., Goity, J.L., Scoccola, N.N., (2002) Phys. Rev. Lett., 88, p. 102002
- Goity, J.L., Schat, C.L., Scoccola, N.N., (2002) Phys. Rev. D, 66, p. 114014
- Matagne, N., Stancu, F., (2015) Rev. Mod. Phys., 87, p. 211
- Jenkins, E.E., Manohar, A.V., Negele, J.W., Walker-Loud, A., (2010) Phys. Rev. D, 81, p. 014502
- Fernando, I.P., Goity, J.L., (2015) Phys. Rev. D, 91, p. 036005
- Cordón, A.C., DeGrand, T., Goity, J.L., (2014) Phys. Rev. D, 90, p. 014505
- DeGrand, T., Liu, Y., (2016) Phys. Rev. D, 94, p. 034506
- DeGrand, T., Liu, Y., (2017) Phys. Rev. D, 95, p. 019902E
- Pirjol, D., Schat, C., (2003) Phys. Rev. D, 67, p. 096009
- Cohen, T.D., Lebed, R.F., (2003) Phys. Rev. Lett., 91, p. 012001
- Cohen, T.D., Lebed, R.F., (2003) Phys. Rev. D, 67, p. 096008
- Matagne, N., Stancu, F., (2011) Phys. Rev. D, 84, p. 056013
- Goity, J.L., (2005) Yad. Fiz., 68, p. 655
- Goity, J.L., (2005) Phys. At. Nucl., 68, p. 624
- Goity, J.L., (2005) Proceedings of the International Workshop on Large N(c) QCD 2004, Trento, Italy, , in, edited by J. L. Goity, R. F. Lebed, A. Pich, C. L. Schat, and N. N. Scoccola (World Scientific, Singapore)
- Goity, J.L., Schat, C., Scoccola, N., (2005) Phys. Rev. D, 71, p. 034016
- Cohen, T.D., Lebed, R.F., (2006) Phys. Rev. D, 74, p. 036001
- Isgur, N., Karl, G., (1979) Phys. Rev. D, 19, p. 2653
- Isgur, N., Karl, G., (1981) Phys. Rev. D, 23, p. 817E
- Carone, C.D., Georgi, H., Kaplan, L., Morin, D., (1994) Phys. Rev. D, 50, p. 5793
- Collins, H., Georgi, H., (1999) Phys. Rev. D, 59, p. 094010
- Pirjol, D., Schat, C., (2008) Phys. Rev. D, 78, p. 034026
- Galeta, L., Pirjol, D., Schat, C., (2009) Phys. Rev. D, 80, p. 116004
- Pirjol, D., Schat, C., (2010) Phys. Rev. D, 82, p. 114005
- Willemyns, C., Schat, C., (2016) Phys. Rev. D, 93, p. 034007
Citas:
---------- APA ----------
Willemyns, C. & Schat, C.
(2017)
. Towers of positive parity excited baryons and their mixing in the large Nc limit. Physical Review D, 95(9).
http://dx.doi.org/10.1103/PhysRevD.95.094007---------- CHICAGO ----------
Willemyns, C., Schat, C.
"Towers of positive parity excited baryons and their mixing in the large Nc limit"
. Physical Review D 95, no. 9
(2017).
http://dx.doi.org/10.1103/PhysRevD.95.094007---------- MLA ----------
Willemyns, C., Schat, C.
"Towers of positive parity excited baryons and their mixing in the large Nc limit"
. Physical Review D, vol. 95, no. 9, 2017.
http://dx.doi.org/10.1103/PhysRevD.95.094007---------- VANCOUVER ----------
Willemyns, C., Schat, C. Towers of positive parity excited baryons and their mixing in the large Nc limit. Phy. Rev. D. 2017;95(9).
http://dx.doi.org/10.1103/PhysRevD.95.094007