Abstract:We study the DVCS amplitude within the color dipole approach. The light-cone wave function of a real photon is evaluated in the instanton vacuum model. Our parameter free calculations are able to describe H1 data, both the absolute values and the t-dependences, at medium-high values of Q 2 . The Q 2 dependence is found to be sensitive to the choice of the phenomenological cross section fitted to DIS data.
“…where ǫ is the ratio of the real to imaginary parts, and for the imaginary part of the elastic dipole amplitude we employ the model developed in [11,[57][58][59],…”
Section: Diffractive Production Of Pionsmentioning
confidence: 99%
“…After the dipole is formed, it scatters in the field of the target and then fluctuates back to the final hadron [7]. Recently the color dipole approach has been successfully applied to the description of different reactions with vector currents (see [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] and references therein).…”
Section: Introductionmentioning
confidence: 99%
“…Similarly, in order to test the mysterious relation between the contribution of heavy hadronic fluctuations and pion, one should switch to the dipole representation and employ models for the distribution amplitudes (DA) of the axial current which have built-in chiral symmetry. Recently, we used the DA of the vector current calculated in the IVM for the evaluation of several processes [11][12][13][14]. In this paper we apply the IVM to construct the DAs for the axial current and pion and use them to calculate the neutrino-production cross sections.…”
The light-cone distribution amplitudes for the axial current are derived within the instanton vacuum model (IVM), which incorporates nonperturbative effects including spontaneous chiral symmetry breaking. This allows to extend applicability of the dipole approach, usually used in the perturbative domain, down to Q 2 → 0, where partially conserved axial current (PCAC) imposes a relation between the neutrino-production cross section and the one induced by pions. A dramatic breakdown of the Adler relation (AR) for diffractive neutrino-production of pions, caused by absorptive corrections, was revealed recently in [1]. Indeed, comparing with the cross section predicted by the dipole phenomenology at Q 2 → 0 on a proton target we confirmed the sizable deviation from the value given by the AR, as was estimated in [1] within a simplified two-channel model. The dipole approach also confirms that in the black-disc limit, where the absorptive corrections maximize, the diffractive cross section ceases, on the contrary to the expectation based on PCAC.
“…where ǫ is the ratio of the real to imaginary parts, and for the imaginary part of the elastic dipole amplitude we employ the model developed in [11,[57][58][59],…”
Section: Diffractive Production Of Pionsmentioning
confidence: 99%
“…After the dipole is formed, it scatters in the field of the target and then fluctuates back to the final hadron [7]. Recently the color dipole approach has been successfully applied to the description of different reactions with vector currents (see [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] and references therein).…”
Section: Introductionmentioning
confidence: 99%
“…Similarly, in order to test the mysterious relation between the contribution of heavy hadronic fluctuations and pion, one should switch to the dipole representation and employ models for the distribution amplitudes (DA) of the axial current which have built-in chiral symmetry. Recently, we used the DA of the vector current calculated in the IVM for the evaluation of several processes [11][12][13][14]. In this paper we apply the IVM to construct the DAs for the axial current and pion and use them to calculate the neutrino-production cross sections.…”
The light-cone distribution amplitudes for the axial current are derived within the instanton vacuum model (IVM), which incorporates nonperturbative effects including spontaneous chiral symmetry breaking. This allows to extend applicability of the dipole approach, usually used in the perturbative domain, down to Q 2 → 0, where partially conserved axial current (PCAC) imposes a relation between the neutrino-production cross section and the one induced by pions. A dramatic breakdown of the Adler relation (AR) for diffractive neutrino-production of pions, caused by absorptive corrections, was revealed recently in [1]. Indeed, comparing with the cross section predicted by the dipole phenomenology at Q 2 → 0 on a proton target we confirmed the sizable deviation from the value given by the AR, as was estimated in [1] within a simplified two-channel model. The dipole approach also confirms that in the black-disc limit, where the absorptive corrections maximize, the diffractive cross section ceases, on the contrary to the expectation based on PCAC.
“…We use the s-dependent dipole cross section proposed in [42], which saturates at large separations in analogy to the x-dependent one proposed in [43]. Correspondingly, for the elastic dipole amplitude we employ the model developed in [34,44,45,46],…”
Section: A Photoabsorptionmentioning
confidence: 99%
“…While pQCD predicts the dipole amplitude only for small-size dipoles, several successful phenomenological parameterizations for the large-size dipoles are known. Relying on the photon wave function evaluated in the instanton vacuum model [33], which is valid for any Q 2 , one can extend the applicability of the model to the case of the processes with real photons [34]. In this paper we are going to consider the real photoabsorption, γ + p → X, and the RCS.…”
We study photoabsorption reaction and real Compton scattering (RCS) within the color dipole model. We rely on a photon wave function derived in the instanton vacuum model, and on the energy dependent phenomenological elastic dipole amplitude. Data for the photoabsorption cross section at high energies agree with our parameter free calculations. We also provide predictions for the differential RCS cross section. Although no data for small angle Compton scattering are available so far, this process can be measured in ultra-peripheral hadronic and nuclear collisions at the LHC.
We evaluate the shadowing effect in deeply virtual and real Compton
scattering on nuclei in the framework of the color dipole model. We rely on the
soft photon wave function derived in the instanton vacuum model, and employ the
impact parameter dependent phenomenological elastic dipole amplitude. Both the
effects of quark and the gluon shadowing are taken into account.Comment: 13 pages, 5 Figure
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