<i>Currents in Hadron Physics</i>

Alfaro, V. de; Fubini, S.; Furlan, G.; Rossetti, C.; Derrick, M.

doi:10.1063/1.3068783

Cited by 215 publications

(340 citation statements)

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“…These are: (εξ j , 0, 1), (0, εξ j , 1), (ε 2 ξ j , εξ j , 0) respectively [26]. By assuming that this is the case and paramerizing z 1 and z 2 as z 1 = εt 1 N 1 and z 2 = εt 1 N 2 , we obtain the simplex equation t 1 + t 2 = 1 as deformation retract for F (N ) 6 . After this, Eq.…”

Section: The 4-particle Veneziano-like Amplitudementioning

confidence: 99%

New strings for old Veneziano amplitudes

Kholodenko

2005

Journal of Geometry and Physics

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The bosonic string theory evolved as an attempt to find a physical/quantum mechanical model capable of reproducing Euler's beta function (Veneziano amplitude) and its multidimensional analogue. The multidimensional analogue of beta function was studied mathematically for some time from different angles by mathematicians such as Selberg,Weil and Deligne among many others. The results of their studies apparently were not taken into account in physics literature on string theory. In a recent publication [IJMPA 19 (2004) 1655] an attempt was made to restore the missing links. The results of this publication are incomplete, however, since no attempts were made at reproduction of known spectra of both open an closed bosonic strings or at restoration of the underlying model(s) reproducing such spectra. Nevertheless, discussed in this publication the existing mathematical interpretation of the multidimensional analogue of Euler's beta function as one of the periods associated with the corresponding differential form "living" on the Fermat-type (hyper) surfaces, happens to be crucial for restoration of the quantum/statistical mechanical model reproducing such generalized beta function. Unlike the traditional formulations, this model is supersymmetric. Details leading to restoration of this model will be presented in the forthcoming Parts 2-4 of our work. They are devoted respectively to the group-theoretic, symplectic and combinatorial treatments of this model. In this paper the discussion is restricted mainly to study of analytical properties of the multiparticle Veneziano and Veneziano-like (tachyon-free) amplitudes. In the last case, we demonstrate that the Veneziano-like amplitudes alone (with parameters adjusted accordingly) are capable of reproducing known spectra of both open and closed bosonic strings. The choice of parameters is subject to some constraints dictated by the mathematical interpretation of these amplitudes as periods of Fermat-type (hyper)surfaces considered as complex manifolds of Hodge type.

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Section: The 4-particle Veneziano-like Amplitudementioning

confidence: 99%

New strings for old Veneziano amplitudes

Kholodenko

2005

Journal of Geometry and Physics

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“…In the case of the valence quark exchanges these t-dependences are constrained by the sum rules for unpolarized [3] and polarized quarks [4] and could be also modeled in the chiral soliton models, see review in [5]. The t-dependence of GPD's provides unique information about the impact parameter distribution of the partons in nucleons.…”

Section: Theoretical Expectationsmentioning

confidence: 99%

Two-gluon form factor of the nucleon andJ/ψphotoproduction

Frankfurt¹,

Strikman²

2002

Phys. Rev. D

109

136

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We argue that the t-dependence of the two-gluon form factor of the nucleon should be given by Γ(t) = (1 − t/m 2 2g ) −2 with m 2 2g ≈ 1GeV 2 . We demonstrate that this form provides a good description of the t-dependence of the cross section of the elastic photoproduction of J/ψ-mesons between the threshold region of E γ = 11 GeV (Cornell), E γ = 19 GeV (SLAC) and E γ = 100 GeV (FNAL) including the strong energy dependence of the t-slope. It is also well matched with the recent HERA data. The same assumption explains also the t-dependence of φ-meson electroproduction near threshold at W = 2.3 GeV, Q 2 = 1.0 GeV 2 . Theoretical expectationsIt was demonstrated in [1] for the case of small x and in [2] in a general case that in the limit of large Q 2 the t-dependence of the process γ * L + N → V + N at fixed x is factorized into the convolution of a hard interaction block calculable in perturbative QCD, the short-distance qq wave function of the meson, and the generalized/skewed parton distribution (GPD) in the nucleon.In the scaling limit the t-dependence is originating solely from the GPD's since the meson wave function is highly squeezed in the direction transverse to the reaction axis. In the case of the valence quark exchanges these t-dependences are constrained by the sum rules for unpolarized [3] and polarized quarks [4] and could be also modeled in the chiral soliton models, see review in [5]. The t-dependence of GPD's provides unique information about the impact parameter distribution of the partons in nucleons. The knowledge of the transverse gluon distribution is especially important since it provides a key ingredient for the understanding of relative importance of soft and hard physics for high energy nucleonnucleon interactions at different impact parameters and has to be implemented in realistic Monte Carlo generators of nucleon-nucleon collisions at collider energies.In this paper we will first discuss theoretical expectations for the t-dependence of gluon GPD's. Next we will use the 11 ≤ E γ ≤ 100GeV data to check these expectations and hence 1

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“…where T is a time-ordering operator and J 4+i5 5µ (x) and J 4−i5 5ν (x) are axial-vector hadronic currents with quantum numbers of the K − and K + mesons [23,25] …”

Section: P-wave Scattering Lengthmentioning

confidence: 99%

Energy-level displacement of excitednpstates of kaonic hydrogen

et al. 2005

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We compute the energy level displacement of the excited np states of kaonic hydrogen within the quantum field theoretic and relativistic covariant model of strong low-energyKN interactions suggested in EPJA 21, 11 (2004). For the width of the energy level of the excited 2p state of kaonic hydrogen, caused by strong low-energy interactions, we find Γ 2p = 2 meV = 3 × 10 12 sec −1 . This result is important for the theoretical analysis of the X-ray yields in kaonic hydrogen.

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Currents in Hadron Physics

Cited by 215 publications

References 0 publications

New strings for old Veneziano amplitudes

New strings for old Veneziano amplitudes

Two-gluon form factor of the nucleon andJ/ψphotoproduction

Energy-level displacement of excitednpstates of kaonic hydrogen

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