Publication Date:
2021-09-01
Description:
We evaluate the $$a_1(1260)
ightarrow pi sigma (f_0(500))$$ a 1 ( 1260 ) → π σ ( f 0 ( 500 ) ) decay width from the perspective that the $$a_1(1260)$$ a 1 ( 1260 ) resonance is dynamically generated from the pseudoscalar–vector interaction and the $$sigma $$ σ arises from the pseudoscalar–pseudoscalar interaction. A triangle mechanism with $$a_1(1260)
ightarrow
ho pi $$ a 1 ( 1260 ) → ρ π followed by $$
ho
ightarrow pi pi $$ ρ → π π and a fusion of two pions within the loop to produce the $$sigma $$ σ provides the mechanism for this decay under these assumptions for the nature of the two resonances. We obtain widths of the order of 13–22 MeV. Present experimental results differ substantially from each other, suggesting that extra efforts should be devoted to the precise extraction of this important partial decay width, which should provide valuable information on the nature of the axial vector and scalar meson resonances and help clarify the role of the $$pi sigma $$ π σ channel in recent lattice QCD calculations of the $$a_1$$ a 1 .
Print ISSN:
1434-6044
Electronic ISSN:
1434-6052
Topics:
Physics
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