Moment-operator expansion for the two-meson, two-photon and fermion-antifermion states

A complete set of formulae in terms of the moment-operator expansion is presented for the two-meson, two-photon and fermion–antifermion states that can be used in the analysis of scalar (S) and pseudoscalar (P) meson production in p and γγ collisions: p → SS, PP, SP and γγ → SS, PP, SP. The method of generalization of the formulae for the amplitudes of multi-meson production in the two-stage processes: of the type (spin-j) resonance + meson → three mesons is also discussed.

[1]  Hsiang-nan Li.  TWO-PHOTON COLLISIONS AT LEP , 2003 .

[2]  A. Anisovich.  Three-body dispersion-relation N/D equations for the coupled decay channels \(\bar pp(J^{PC} = 0^{ - + } ) \to \pi ^0 \pi ^0 \pi ^0 ,\eta \pi ^0 \pi ^0 ,\eta \eta \pi ^0 ,\bar KK\pi ^0 \) , 1996, hep-ph/9610523.

[3]  A. Anisovich.  Three-body dispersion-relation N/D equations for the coupled decay channels [(p)]p(JPC = 0+) 0 0 0, 0 0, 0 ,[(K)]K0 , 2003 .

[4]  V. Nikonov,et al.  Radiative decays of basic scalar, vector and tensor mesons and the determination of the P-wave q multiplet , 2001, hep-ph/0108186.

[5]  A. Sarantsev,et al.  Resonances in p̄p→ωη from 600 to 1940 MeV/c , 2001 .

[6]  A. Sarantsev,et al.  Study of in flight , 2001 .

[7]  M. Koll,et al.  The meson spectrum in a covariant quark model , 2000, hep-ph/0008221.

[8]  A. Sarantsev,et al.  Systematics of q anti-q states in the (n, M**2) and (J, M**2) planes , 2000, hep-ph/0003113.

[9]  E. Klempt.  Meson spectroscopy: Glueballs, hybrids and Q anti-Q mesons , 2000 .

[10]  A. Sarantsev,et al.  p p??? and ??' from 600 to 1940 MeV/c , 1999 .

[11]  A. Sarantsev,et al.  from 600 to 1940 MeV/c , 1999 .

[12]  A. Anisovich,et al.  Reactions gamma gamma -> pi pi and gamma gamma -> K \bar K: the (IJ^{PC}=00^{++})-wave spectra at E_{gamma gamma}^{(c.m.)} = 300- 1900 MeV , 1999 .

[13]  D. Bugg,et al.  Partial widths a0(980)→γγ, f0(980)→γγ and -classification of the lightest scalar mesons , 1999 .

[14]  A. Sarantsev,et al.  Resonances in p̄p→f2(1270)π , 1999 .

[15]  D. Bugg.  Study of from 600 to 1940 MeV/c , 1999 .

[16]  D. Bugg,et al.  Partial widths a_0(980)\to\gamma\gamma, f_0(980)\to\gamma\gamma and q\bar q-classification of the lightest scalar mesons , 1999, hep-ph/9903396.

[17]  A. Anisovich,et al.  Low- and intermediate-energy nucleon-nucleon interactions and the analysis of deuteron photodisintegration within the dispersion relation technique , 1998, nucl-th/9912030.

[18]  S. U. Chung,et al.  General formulation of covariant helicity-coupling amplitudes , 1998 .

[19]  D. Melikhov,et al.  Ward identities and sum rules for composite systems described in the dispersion relation technique: The deuteron as a composite two-nucleon system , 1992 .

[20]  A. Sarantsev,et al.  Analysis of the NN→NΔ threshold using the coupled-channel N/D method , 1992 .

[21]  C. Zemach,et al.  Use of Angular-Momentum Tensors , 1965 .

[22]  C. Zemach.  Determination of the Spins and Parities of Resonances , 1965 .

[23]  Quark structure of f 0 (980) from the radiative decays φ (1020) → γf 0 (980) , γη , γη ′ , γπ 0 and f (980) → γγ , 2022 .