Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2008-05-28
AIPConf.Proc.1038:278-291,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
14 pages, 12 tables, talk given by N. Matagne at the workshop "Three Days of Strong Interactions and Astrophysics", joint meet
Scientific paper
10.1063/1.2987181
Using standard group theoretical techniques we construct the exact wave function of the $[{\bf 70},1^-]$ multiplet in the orbital, spin and flavor space. This symmetric wave function is compared to that customarily used in the $1/N_c$ expansion, which is asymmetric. The comparison is made by analyzing the matrix elements of various operators entering the mass formula. These matrix elements are calculated by the help of isoscalar factors of the permutation group, specially derived for this purpose as a function of $N_c$. We also compare two distinct methods used in the study of the $[{\bf 70},1^-]$ multiplet. In the first method the generators are divided into two parts, one part acting on a subsystem of $N_c-1$ quarks called core and another on the separated quark. In the second method the system is treated as a whole. We show that the latter is simpler and allows to clearly reveal the physically important operators in the mass formula.
Matagne Nicolas
Stancu Fl.
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