Constituent quark couplings and QCD in the large N<inf>c</inf> limit

Santiago Peris; Eduardo de Rafael

doi:https://doi.org/10.1016/0370-2693(93)90950-M

Constituent quark couplings and QCD in the large N<inf>c</inf> limit

Santiago Peris, Eduardo de Rafael

Department of Physics

Research output: Contribution to journal › Article › Research › peer-review

21 Citations (Scopus)

Abstract

It is shown that in the constituent quark model of Georgi-Manohar, the dispersion relation that leads to the Adler- Weisberger sum rule for the axial vector coupling gA requires a subtraction constant. This fact explains the discrepancy between the results of different recent estimates of the 1 Nc corrections to Weinberg's large Nc result gA = 1, where Nc is the number of QCD colours. We also discuss a possible scenario which shows that gA = 1 might not be a necessary consequence of QCD in the large Nc limit. © 1993.

Original language	English
Pages (from-to)	389-393
Journal	Physics Letters B
Volume	309
DOIs	https://doi.org/10.1016/0370-2693(93)90950-M
Publication status	Published - 15 Jul 1993

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abstract = "It is shown that in the constituent quark model of Georgi-Manohar, the dispersion relation that leads to the Adler- Weisberger sum rule for the axial vector coupling gA requires a subtraction constant. This fact explains the discrepancy between the results of different recent estimates of the 1 Nc corrections to Weinberg's large Nc result gA = 1, where Nc is the number of QCD colours. We also discuss a possible scenario which shows that gA = 1 might not be a necessary consequence of QCD in the large Nc limit. {\textcopyright} 1993.",

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AB - It is shown that in the constituent quark model of Georgi-Manohar, the dispersion relation that leads to the Adler- Weisberger sum rule for the axial vector coupling gA requires a subtraction constant. This fact explains the discrepancy between the results of different recent estimates of the 1 Nc corrections to Weinberg's large Nc result gA = 1, where Nc is the number of QCD colours. We also discuss a possible scenario which shows that gA = 1 might not be a necessary consequence of QCD in the large Nc limit. © 1993.

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