Scaling in strong interactions

Matveev, V.; Muradyan, R.M.; Тавхелидзе, А.Н.

doi:10.1007/bf01094562

Cited by 27 publications

(35 citation statements)

References 2 publications

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“…These near-threshold phenomena should disappear at large q 2 , so that the data and their fits may converge to the simple quark counting rule: TLFF ∝ 1/q 4 , as predicted for the SLFF asymptotic [23,24]. This may be stated by using the same arguments of the SL case, that is by analyzing the dimensional structure of the matrix element [23] or by assuming that at large q the process is dominated by a PQCD hard core [24], or by using analytic continuation at large |q| from the SL to the TL sector (applying the Phragmèn-Lindelöf theorem, see the discussion in [16]).…”

Section: Introductionmentioning

confidence: 67%

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

Bianconi

Tomasi–Gustafsson

2017

Phys. Rev. C

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As well known, spacelike proton form factors expressed in the Breit frame may be interpreted as the Fourier transform of static space distributions of electric charge and current. In particular, the electric form factor is simply the Fourier transform of the charge distribution F (q) = e i q· r ρ(r)d 3 r. We don't have an intuitive interpretation of the same level of simplicity for the proton timelike form factor appearing in the reactions e + e − ↔pp. However, one may suggest that in the center of mass (CM) frame, where qµx µ = qt, a timelike electric form factor is the Fourier transform F (q) = e iqt R(t)dt of a function R(t) expressing how the electric properties of the forming (or annihilating) proton-antiproton pair evolve in time. Here we analyze in depth this idea, show that the functions ρ(r) and R(t) can be formally written as the time and space integrals of a unique correlation function depending on both time and space coordinates.

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Section: Introductionmentioning

confidence: 67%

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

Bianconi

Tomasi–Gustafsson

2017

Phys. Rev. C

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“…M o r e o v e r they p o i n t o u t the c o n n e c t i o n between such h a m i l t o n i a n s a n d positive energy b o u n d states like the W i g n e r -v o n N e u m a n example [321. Similarly, as far as H a m i l t o n i a n s (1.1) are concerned, the examples (1.2) a n d (1.3) of allowed potentials in [23] suggest the existence of such positive energy eigenvalues (see for example [19,10]). However, (but this m a y be only a technical point) a n i m p o r t a n t difference with what we do in this paper is the regularity c o n d i t i o n s i m p o s e d o n A a n d 9 in [7] ; u n d e i these regularity conditions, that do n o t allow for too wild oscillations, H a n d H o are m u t u a l l y s u b o r d i n a t e , so that Enss' m e t h o d applies directly.…”

Section: Hints For the Proof Of Theoremmentioning

confidence: 98%

Spectral and scattering theory for a class of strongly oscillating potentials

Combescure

1980

Commun.Math. Phys.

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(1) U is bounded, and the local singularities of F and Q2 are controlled in a suitable sense by the kinetic energy, (2) U, Q, and F tend to zero at infinity faster than [x[-1. We define H by a method of quadratic forms and derive the usual results of scattering theory, namely: the absolutely continuous spectrum is [0, oe) and the singular continuous spectrum is empty, the wave operators exist and are asymptotically complete. This enlarges the class of already studied strongly oscillating potentials that give rise to the scattering and spectral properties mentioned above.

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“…[21] (empty triangles). The simulated data for PANDA (solid circles) have been reported along the prediction of different models for the TL ratio: [28,29] (R p = 1, solid line), [7] (dashed line), [30] (dash-dotted line), [6] (dotted line).…”

Section: The Unphysical Regionmentioning

confidence: 99%

“…The dipole behavior of FFs can be understood in terms of scaling rules predicted by QCD, assuming that the virtual photon transfers the momentum to each constituent quark through one gluon exchange, leaving the proton in its ground state [28,29]. It can be also understood in the Breit frame or in nonrelativistic approximation, where FFs are Fourier transform of the charge and magnetic distributions.…”

Section: Nucleon Modelsmentioning

confidence: 99%

Proton electromagnetic form factors: present status and future perspectives at PANDA

Tomasi–Gustafsson

2015

EPJ Web of Conferences

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Abstract. Data and models on electromagnetic proton form factors are reviewed, highlighting the contribution foreseen by the PANDA collaboration. Electromagnetic hadron form factors contain essential information on the internal structure of hadrons. Precise and surprising data have been obtained at electron accelerators, applying the polarization method in electron-proton elastic scattering. At electron-positron colliders, using initial state radiation, BABAR measured proton time-like form factors in a wide time-like kinematical region and the BESIII collaboration will measure very precisely proton and neutron form factors in the threshold region. In the next future an antiproton beam with momentum up to 15 GeV/c will be available at FAIR (Darmstadt). Measurements of the reactionp + p → e + + e − by the PANDA collaboration will contribute to the individual determination of electric and magnetic form factors in the time-like region of momentum transfer squared, as well as to their first determination in the unphysical region (below the kinematical threshold), through the reactionp + p → e + + e − + π 0 . From the discussion on feasibility studies at PANDA, we focus on the consequences of such measurements in view of an unified description of form factors in the full kinematical region. We present models which have the necessary analytical requirements and apply to the data in the whole kinematical region.

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Scaling in strong interactions

Cited by 27 publications

References 2 publications

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

Fourth dimension of the nucleon structure: Spacetime analysis of the timelike electromagnetic proton form factors

Spectral and scattering theory for a class of strongly oscillating potentials

Proton electromagnetic form factors: present status and future perspectives at PANDA

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