Matrix elements of SU(6) generators for baryons at arbitrary N-c

[en] We present explicit formulas for the matrix elements of the SU(6) generators for totally symmetric spin-flavor states, relevant for baryon spectroscopy in large N-c QCD. We rely on the interplay between two different methods to calculate these matrix elements. As an outcome, general analytic formulas of the corresponding SU(6) isoscalar factors are derived for arbitrary N-c. These results can be used to study excited states of nonstrange and strange baryons.

Disciplines :

Physics

Author, co-author :

Matagne, Nicolas

Stancu, Floarea ; Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Département d'astrophys., géophysique et océanographie (AGO)

Language :

English

Title :

Matrix elements of SU(6) generators for baryons at arbitrary N-c

Publication date :

June 2006

Journal title :

Physical Review. D, Particles, Fields, Gravitation, and Cosmology

ISSN :

1550-7998

eISSN :

1550-2368

Publisher :

American Physical Society, College Pk, United States - Maryland

Volume :

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBi :

since 28 January 2011

Statistics

Number of views

21 (4 by ULiège)

Number of downloads

32 (0 by ULiège)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

G. 't Hooft, Nucl. Phys. NUPBBO 0550-3213 72, 461 (1974). 10.1016/0550-3213(74)90154-0
E. Witten, Nucl. Phys. NUPBBO 0550-3213 B160, 57 (1979). 10.1016/0550-3213(79)90232-3
R. Dashen and A.V. Manohar, Phys. Lett. B 315, 425 (1993); PYLBAJ 0370-2693 10.1016/0370-2693(93)91635-Z
R. Dashen A.V. Manohar Phys. Lett. B 315, 438 (1993). PYLBAJ 0370-2693 10.1016/0370-2693(93)91637-3
R. Dashen, E. Jenkins, and A.V. Manohar, Phys. Rev. D 49, 4713 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.49.4713
R. Dashen, E. Jenkins, and A.V. Manohar, Phys. Rev. D 51, 3697 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.3697
C.D. Carone, H. Georgi, and S. Osofsky, Phys. Lett. B 322, 227 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)91112-6
M.A. Luty and J. March-Russell, Nucl. Phys. NUPBBO 0550-3213 B426, 71 (1994). 10.1016/0550-3213(94)90126-0
M.A. Luty, J. March-Russell, and M. White, Phys. Rev. D 51, 2332 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.51.2332
E. Jenkins, Phys. Lett. B 315, 441 (1993). PYLBAJ 0370-2693 10.1016/0370-2693(93)91638-4
E. Jenkins and R.F. Lebed, Phys. Rev. D 52, 282 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.282
J. Dai, R. Dashen, E. Jenkins, and A.V. Manohar, Phys. Rev. D 53, 273 (1996). PRVDAQ 0556-2821 10.1103/PhysRevD.53.273
C.D. Carone, H. Georgi, L. Kaplan, and D. Morin, Phys. Rev. D 50, 5793 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.5793
J.L. Goity, Phys. Lett. B 414, 140 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(97)01154-4
D. Pirjol and T.M. Yan, Phys. Rev. D 57, 1449 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.57.1449
D. Pirjol and T.M. Yan, Phys. Rev. D 57, 5434 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.57.5434
C.E. Carlson, C.D. Carone, J.L. Goity, and R.F. Lebed, Phys. Lett. B 438, 327 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)00992-7
C.E. Carlson C.D. Carone J.L. Goity R.F. Lebed Phys. Rev. D 59, 114008 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.114008
C.E. Carlson and C.D. Carone, Phys. Lett. B 441, 363 (1998); PYLBAJ 0370-2693 10.1016/S0370-2693(98)01148-4
C.E. Carlson C.D. Carone Phys. Rev. D 58, 053005 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.053005
Z.A. Baccouche, C.K. Chow, T.D. Cohen, and B.A. Gelman, Nucl. Phys. A 696, 638 (2001). NUPABL 0375-9474 10.1016/S0375-9474(01)01202-7
C.L. Schat, Tempe 2002, Phenomenology of Large N(c) QCD (2002), pp. 189-198.
D. Pirjol and C. Schat, Phys. Rev. D 67, 096009 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.096009
T.D. Cohen, D.C. Dakin, A. Nellore, and R.F. Lebed, Phys. Rev. D 69, 056001 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.69.056001
C.L. Schat, J.L. Goity, and N.N. Scoccola, Phys. Rev. Lett. 88, 102002 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.88.102002
C.L. Schat J.L. Goity N.N. Scoccola Phys. Rev. D 66, 114014 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.66.114014
C.E. Carlson and C.D. Carone, Phys. Lett. B 484, 260 (2000). PYLBAJ 0370-2693 10.1016/S0370-2693(00)00646-8
J.L. Goity, C.L. Schat, and N.N. Scoccola, Phys. Lett. B 564, 83 (2003). PYLBAJ 0370-2693 10.1016/S0370-2693(03)00700-7
N. Matagne and Fl. Stancu, Phys. Lett. B 631, 7 (2005). PYLBAJ 0370-2693
N. Matagne and Fl. Stancu, Phys. Rev. D 71, 014010 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.014010
J.L. Goity, Trento 2004, Large N(c) QCD (2004), pp. 211-222.
T.D. Cohen and R.F. Lebed, Phys. Rev. D 70, 096015 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.096015
K.T. Hecht and S.C. Pang, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 10, 1571 (1969). 10.1063/1.1665007
J.C. Carter, J.J. Coyne, and S. Meshkov, Phys. Rev. Lett. 14, 523 (1965). PRLTAO 0031-9007 10.1103/PhysRevLett.14.523
L. Schülke, Z. Phys. 183, 424 (1965). ZEPYAA 0044-3328
J.C. Carter and J.J. Coyne, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 10, 1204 (1969). 10.1063/1.1664959
K.T. Hecht, Nucl. Phys. NUPHA7 0029-5582 62, 1 (1965). 10.1016/0029-5582(65)90068-4
J.J. De Swart, Rev. Mod. Phys. 35, 916 (1963). RMPHAT 0034-6861 10.1103/RevModPhys.35.916
J.P. Elliott, Proc. Roy. Soc. (London) A245, 128 (1958);
J.P. Elliott Proc. Roy. Soc. (London) A245, 562 (1958).
Fl. Stancu, Group Theory in Subnuclear Physics (Clarendon Press, Oxford, 1996), Chap..
Fl. Stancu and S. Pepin, Few-Body Syst. 26, 113 (1999). FBSYEQ 0177-7963 10.1007/s006010050109
J.D. Vergados, Nucl. Phys. A 111, 681 (1968). NUPABL 0375-9474
N. Matagne and Fl. Stancu, hep-ph/0604122.
D. Pirjol and C. Schat, hep-ph/0603127.