Whether new data on $D_s\to f_0(980) e^+ ν_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure

Details Whether new data on $D_s\to f_0(980) e^+ ν_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure Whether new data on $D_s\to f_0(980) e^+ ν_e$ can be understood if $f_0(980)$ consists of only the conventional $q\bar{q}$ structure

2009-07-31

arxiv.org/abs/0907.5465v2

Phys.Rev.D80:074030,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

13pages, 3 figures; some changes were made, references added. Accepted by PRD

Scientific paper

10.1103/PhysRevD.80.074030

Only two isospin-singlet scalar mesons $f_0(600)$ ($\sigma$) and $f_0(980)$ exist below 1 GeV, so that it is natural to suppose that they are two energy eigenstates which are mixtures of ${1\over\sqrt 2}(u\bar u+d\bar d)$ and $s\bar s$. Is this picture right? Generally, it is considered that $f_0(600)$ mainly consists of ${1\over\sqrt 2}(u\bar u+d\bar d)$, if so, the dominant component of $f_0(980)$ should be $s\bar s$. The recent measurement of the CLEO collaboration on the branching ratio of $D_s\to f_0(980) e^+ \nu_e$ provides an excellent opportunity to testify the structure of $f_0(980)$, namely whether the data can be understood as long as it consists of mainly the conventional $q\bar q$ structure. We calculate the form factors of $D_s\to f_0(980)$ in the light-front quark model (LFQM) and the corresponding branching ratio of the semileptonic decay. By fitting the data, we obtain the mixing angle $\phi$. The obtained mixing angle shows that the $s\bar s$ component in $f_0(980)$ may not be dominant.

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