Scalar mesons from s to b 0 Eberhard

Scalar mesons from s to b 0 Eberhard Klempt Helmholtz-Institut für Strahlen- und Kernphysik, Universität Bonn, FRG The low-lying scalars From 1300 to 1700 Me. V and Babar From 1700 to 1850 Me. V and BES The Y(3940) Charmed scalars The scalar mesons Why in PWA workshop Workshop on Partial Wave Analysis and Dalitz Plot Analysis January 25 -26, 2007, Beijing, China

C O M R E C I L A

The low-lying scalars • See next talk by Ning WU pp elastische Streuung f 0(470) f 0(980) und a 0(980) K*0(700)

Nc =3 • Reminder, Pelaez: s, k are non-qq objects Nc =3 Nc =5 Nc =10

From 1300 to 1500 Me. V and Babar B+ -> K+(pp) B+ -> K+ (KK) f 0(1370) glueball f 0(1500) no f 0(1500) Ba. Bar: 2 states at 1500 Me. V? no f 0(1370) Ochs + Minkowski: 1 + 8 interference

• f 0(1500) is flavour octet state • Remark: there is no narrow f 0(1370) • Not in pp scattering

• Not in B decays (see above), • nor in central production: • nor in pp annihilation into 5 pions: PP -> rr 4 p invariant mass (Ge. V)

BES No f 0(980) Nor in radiative J/y decays to pp f 0(1760)

From 1710 to 1810 Me. V and BES • Three observations: • f 0(1710), f 0(1790), f 0(1810) • KK pp fw • J/y -> w. KK fpp gfw • Flavour 8

no 1710 f 0(980) J/y decays to w. X 1710 1790 no 1790

• 1 f 0(1810) must be flavour octet • 2 fw signals four - quark state • 3 assume f 0(1710), f 0(1790), f 0(1810) are one fourquark - state f 0(1760) • 4 produced is nn or ss. These dress to become a fourquark – state • 5 nn = 1/ 3 f 8 + 2/ 3 f 1 ss = 2/ 3 f 8 - 2/ 3 f 1 f 8 = 1/ 6 (uu + dd – 2 ss) f 1 = 1/ 3 (uu + dd + ss)

• expand: f 8 = 1/ 6 (uu + dd – 2 ss) dd + ss f 1 = 1/ 3 (uu + dd + ss) uu + ss uu + dd • collect: f 8 = 1/ 6 (uuss + ddss – 2 uudd) f 1 = 1/ 3 (uudd + ddss+ uuss) • convert: nn = 1/ 2 (uuss + ddss) decaying into KK ss = decaying into pp (uudd)

• The three observations: • f 0(1710), f 0(1790), f 0(1810) • KK pp fw • J/y -> w. KK fpp gfw • • can be one scalar state, f 0(1760), in a flavour octet qqqq configuartion WHERE ARE THE SINGLET STATES ?

f 0(1850) f 0(1300) Singlet f 0(1540)

The Y(3940) e+e- -> J/y + X Belle: X(3940) M=3943 +/-6 Me. V G < 52 Me. V hc(3 S) B -> K + J/y w Belle: X(3940) M=3943 +/-11 +/-13 Me. V G = 87 +/-22 +/-26 Me. V c 0(2 P) 2 g -> DD Belle: Z(3930) M=3931 +/-4 +/-2 Me. V G = 20 +/-8 +/-3 Me. V c 2(2 P)

Charmed mesons

D*0(2400) and D*s 0(2317) -> D*0(1980) needed

The scalar mesons

Why in PWA workshop? • Location of poles can be where dips are observed in mass spectra. • PWA has to allow for a backgound, e. g from rr -> pp via p exchange • Thank you for your patience