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• W2056572043 endingPage "826" @default.
• W2056572043 startingPage "809" @default.
• W2056572043 abstract "This article proposes a solution to the long-standing $ensuremath{rho}ensuremath{-}ensuremath{pi}$ puzzle: How can the $ensuremath{rho}$ and $ensuremath{pi}$ be members of a quark model U(6) 36 and the $ensuremath{pi}$ be a Nambu-Goldstone boson satisfying partial conservation of the axial-vector current (PCAC)? Our solution to the puzzle requires a revision of conventional concepts regarding the vector mesons $ensuremath{rho}$, $ensuremath{omega}$, ${K}^{*}$, and $ensuremath{varphi}$. Just as the $ensuremath{pi}$ is a Goldstone state, a collective excitation of the Nambu-Jona-Lasinio type, transforming as a member of the (3,ifmmodebarelsetextasciimacronfi{}3) + (ifmmodebarelsetextasciimacronfi{}3,3) representation of the chiral SU(3) ifmmodetimeselsetexttimesfi{} SU(3) group, so also the $ensuremath{rho}$ transforms like (3,ifmmodebarelsetextasciimacronfi{}3) + (ifmmodebarelsetextasciimacronfi{}3,3) and is also a collective state, a dormant Goldstone boson that is a true Goldstone boson in the static chiral U(6) ifmmodetimeselsetexttimesfi{} U(6) limit. The static chiral U(6) ifmmodetimeselsetexttimesfi{} U(6) is to be spontaneously broken to static U(6) in the vacuum. Relativisitc effects provide for U(6) breaking and a massive $ensuremath{rho}$. This viewpoint has many consequences. Vector-meson dominance is a consequence of spontaneously broken chiral symmetry---the mechanism that couples the axial-vector current to the $ensuremath{pi}$ couples the vector current to the $ensuremath{rho}$. The transition rate is calculated as $ensuremath{gamma}_{ensuremath{rho}}^{}{}_{}{}^{ensuremath{-}1}=frac{{f}_{ensuremath{pi}}}{{m}_{ensuremath{rho}}}$ in rough agreement with experiment. This picture requires soft $ensuremath{rho}'mathrm{s}$ to decouple; but this requirement is not in conflict with any experimental features of the vector mesons. The chiral partner of the $ensuremath{rho}$ is not the ${A}_{1}$ but the $B(1235)$. The experimental absence of the ${A}_{1}$ is no longer a theoretical embarrassment in this scheme. As the analog of PCAC for the pion we establish a tensor-field identity for the $ensuremath{rho}$ meson in which the $ensuremath{rho}$ is interpreted as a dormant Goldstone state. The decays $ensuremath{delta}ensuremath{rightarrow}ensuremath{eta}+ensuremath{pi}$ $Bensuremath{rightarrow}ensuremath{omega}+ensuremath{pi}$, $ensuremath{epsilon}ensuremath{rightarrow}2ensuremath{pi}$ are estimated and are found to be in agreement with the observed rates. A static U(6) ifmmodetimeselsetexttimesfi{} U(6) generalization of the $ensuremath{Sigma}$ model is presented with the $ensuremath{pi}$, $ensuremath{rho}$, $ensuremath{sigma}$, $B$ in the (6,ifmmodebarelsetextasciimacronfi{}6) + (ifmmodebarelsetextasciimacronfi{}6,6) representation. The $ensuremath{rho}$ emerges as a dormant Goldstone boson in this model. Symmetry breaking in the model leads to the remarkable relation $m_{ensuremath{rho}}^{}{}_{}{}^{2}ensuremath{-}m_{ensuremath{pi}}^{}{}_{}{}^{2}=m_{B}^{}{}_{}{}^{2}ensuremath{-}m_{ensuremath{delta}}^{}{}_{}{}^{2}$, satisfied within 0.5%. Others' efforts towards an integration of PCAC with the quark model, particularly in the context of the Melosh transformation, are discussed." @default.
• W2056572043 created "2016-06-24" @default.
• W2056572043 creator A5061365978 @default.
• W2056572043 creator A5073657818 @default.
• W2056572043 date "1976-08-01" @default.
• W2056572043 modified "2023-10-18" @default.
• W2056572043 title "A solution to theρ−πpuzzle: Spontaneously broken symmetries of the quark model" @default.
• W2056572043 cites W127914785 @default.
• W2056572043 cites W135089583 @default.
• W2056572043 cites W1968245947 @default.
• W2056572043 cites W1973139548 @default.
• W2056572043 cites W1974637726 @default.
• W2056572043 cites W1978156797 @default.
• W2056572043 cites W1978291631 @default.
• W2056572043 cites W1985152993 @default.
• W2056572043 cites W1987084784 @default.
• W2056572043 cites W1991017796 @default.
• W2056572043 cites W1991487596 @default.
• W2056572043 cites W1995328017 @default.
• W2056572043 cites W1995500819 @default.
• W2056572043 cites W1997260819 @default.
• W2056572043 cites W1998444016 @default.
• W2056572043 cites W1998909324 @default.
• W2056572043 cites W2000725542 @default.
• W2056572043 cites W2001412851 @default.
• W2056572043 cites W2003277035 @default.
• W2056572043 cites W2005935750 @default.
• W2056572043 cites W2005960154 @default.
• W2056572043 cites W2006616200 @default.
• W2056572043 cites W2007121966 @default.
• W2056572043 cites W2008769196 @default.
• W2056572043 cites W2009026448 @default.
• W2056572043 cites W2009245207 @default.
• W2056572043 cites W2011209863 @default.
• W2056572043 cites W2012400157 @default.
• W2056572043 cites W2015356118 @default.
• W2056572043 cites W2017164119 @default.
• W2056572043 cites W2018318174 @default.
• W2056572043 cites W2022593323 @default.
• W2056572043 cites W2028978137 @default.
• W2056572043 cites W2033830152 @default.
• W2056572043 cites W2035799767 @default.
• W2056572043 cites W2037956737 @default.
• W2056572043 cites W2044273774 @default.
• W2056572043 cites W2047359994 @default.
• W2056572043 cites W2050680494 @default.
• W2056572043 cites W2053818604 @default.
• W2056572043 cites W2054414941 @default.
• W2056572043 cites W2055931481 @default.
• W2056572043 cites W2057488266 @default.
• W2056572043 cites W2058793253 @default.
• W2056572043 cites W2060183172 @default.
• W2056572043 cites W2064382386 @default.
• W2056572043 cites W2067891403 @default.
• W2056572043 cites W2068248604 @default.
• W2056572043 cites W2076333789 @default.
• W2056572043 cites W2080991605 @default.
• W2056572043 cites W2084700887 @default.
• W2056572043 cites W2085047739 @default.
• W2056572043 cites W2085522314 @default.
• W2056572043 cites W2088174740 @default.
• W2056572043 cites W2088288720 @default.
• W2056572043 cites W2089138083 @default.
• W2056572043 cites W2090470667 @default.
• W2056572043 cites W2093002278 @default.
• W2056572043 cites W2095464982 @default.
• W2056572043 cites W2100735366 @default.
• W2056572043 cites W2101310208 @default.
• W2056572043 cites W2101447717 @default.
• W2056572043 cites W2112358548 @default.
• W2056572043 cites W2114538346 @default.
• W2056572043 cites W2136764900 @default.
• W2056572043 cites W2143372341 @default.
• W2056572043 cites W2147002073 @default.
• W2056572043 cites W2153322267 @default.
• W2056572043 cites W2161583357 @default.
• W2056572043 cites W2167675611 @default.
• W2056572043 cites W2204455730 @default.
• W2056572043 cites W2221094875 @default.
• W2056572043 cites W2227740876 @default.
• W2056572043 cites W2230951049 @default.
• W2056572043 cites W2315886818 @default.
• W2056572043 cites W2328718644 @default.
• W2056572043 cites W2614177610 @default.
• W2056572043 cites W2802066523 @default.
• W2056572043 cites W2998647534 @default.
• W2056572043 cites W3147729950 @default.
• W2056572043 cites W4233057935 @default.
• W2056572043 cites W4236575607 @default.
• W2056572043 cites W4243391428 @default.
• W2056572043 doi "https://doi.org/10.1103/physrevd.14.809" @default.
• W2056572043 hasPublicationYear "1976" @default.
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