[en] 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.
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 :
Group Theoretical Analysis of the Wave Function of the $[ 70,1^-]$ Nonstrange Baryons in the $1/N_c$ Expansion
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
't Hooft, G., (1974) Nucl. Phys. B, 72, p. 461
Witten, E., (1979) Nucl. Phys. B, 160, p. 57
Gervais, J.L., Sakita, B., (1984) Phys. Rev. Lett, 52, p. 87
(1984) Phys. Rev. D, 30, p. 1795
Dashen, R., Manohar, A.V., (1993) Phys. Lett. B, 315, p. 425
(1993) Phys. Lett. B, 315, p. 438
Dashen, R., Jenkins, E., Manohar, A.V., (1994) Phys. Rev. D, 49, p. 4713
Dashen, R., Jenkins, E., Manohar, A.V., (1995) Phys. Rev. D, 51, p. 3697
This website uses cookies to improve user experience. Read more
Save & Close
Accept all
Decline all
Show detailsHide details
Cookie declaration
About cookies
Strictly necessary
Performance
Strictly necessary cookies allow core website functionality such as user login and account management. The website cannot be used properly without strictly necessary cookies.
This cookie is used by Cookie-Script.com service to remember visitor cookie consent preferences. It is necessary for Cookie-Script.com cookie banner to work properly.
Performance cookies are used to see how visitors use the website, eg. analytics cookies. Those cookies cannot be used to directly identify a certain visitor.
Used to store the attribution information, the referrer initially used to visit the website
Cookies are small text files that are placed on your computer by websites that you visit. Websites use cookies to help users navigate efficiently and perform certain functions. Cookies that are required for the website to operate properly are allowed to be set without your permission. All other cookies need to be approved before they can be set in the browser.
You can change your consent to cookie usage at any time on our Privacy Policy page.