43 research outputs found
Cumulation and acceleration of ions by TW femtosecond laser pulse
A new method of ion cumulation and acceleration at three-dimensional compression of plasma in the βlight
trapβ created in the focal region of the high-power femtosecond laser is theoretically studied. The βlight trapβ is
formed by delay in time of the central part of the laser pulse being focused. The cumulation degree and maximum
energy of acceleration ions depending on values of the high-power femtosecond laser pulse have been investigated
by numerical methods. Physical mechanisms of ion density and energy increase in the paraxial plasma zone have
been discussed. The proposed method of ion cumulation and acceleration allows one to create compact bright
sources of fast neutrons, nuclei for x-ray and gamma lasers, and also provides the unique possibilities of nuclear reaction initiation and isotope production.Π’Π΅ΠΎΡΠ΅ΡΠΈΡΠ½ΠΎ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½ Π½ΠΎΠ²ΠΈΠΉ ΠΌΠ΅ΡΠΎΠ΄ ΠΏΡΠΈΡΠΊΠΎΡΠ΅Π½Π½Ρ ΡΠ° ΠΊΡΠΌΡΠ»ΡΡΡΡ ΠΏΡΠΈ ΡΡΡΠΎΡ
Π²ΠΈΠΌΡΡΠ½ΠΎΠΌΡ ΡΡΠΈΡΠ½Π΅Π½Π½Ρ ΠΏΠ»Π°Π·ΠΌΠΈ Π²
βΡΠ²ΡΡΠΎΠ²ΠΎΡ ΠΏΠ°ΡΡΡΡβ, ΡΠΎ ΡΡΠ²ΠΎΡΡΡΡΡΡΡ Π² ΡΠΎΠΊΠ°Π»ΡΠ½ΠΎΡ ΠΎΠ±Π»Π°ΡΡΡ ΠΏΠΎΡΡΠΆΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΌΠΏΡΠΎΡΠ΅ΠΊΡΠ½Π΄Π½ΠΎΠ³ΠΎ Π»Π°Π·Π΅ΡΠ°. βΠ‘Π²ΡΡΠ»ΠΎΠ²Π°
ΠΏΠ°ΡΡΠΊΠ°β ΡΠΎΡΠΌΡΡΡΡΡΡ ΡΠ»ΡΡ
ΠΎΠΌ Π·Π°ΡΡΠΈΠΌΠΊΠΈ ΡΠ΅Π½ΡΡΠ°Π»ΡΠ½ΠΎΡ ΡΠ°ΡΡΠΈΠ½ΠΈ Π»Π°Π·Π΅ΡΠ½ΠΎΠ³ΠΎ ΡΠΌΠΏΡΠ»ΡΡΡ. Π§ΠΈΡΠ΅Π»ΡΠ½ΠΈΠΌΠΈ ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ
Π²ΠΈΠ²ΡΠ΅Π½Ρ ΡΡΠ΅ΠΏΡΠ½Ρ ΠΊΡΠΌΡΠ»ΡΡΡΡ ΡΠ° ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½Π° Π΅Π½Π΅ΡΠ³ΡΡ ΡΠΎΠ½ΡΠ² Π² Π·Π°Π»Π΅ΠΆΠ½ΠΎΡΡΡ ΠΎΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡΠ² ΠΏΠΎΡΡΠΆΠ½ΠΎΠ³ΠΎ Π»Π°Π·Π΅ΡΠ½ΠΎΠ³ΠΎ
ΡΠΌΠΏΡΠ»ΡΡΡ. ΠΠ°ΠΏΡΠΎΠΏΠΎΠ½ΠΎΠ²Π°Π½ΠΈΠΉ ΠΌΠ΅ΡΠΎΠ΄ ΠΊΡΠΌΡΠ»ΡΡΡΡ ΡΠ° ΠΏΡΠΈΡΠΊΠΎΡΠ΅Π½Π½Ρ ΡΠΎΠ½ΡΠ² Π΄ΠΎΠ·Π²ΠΎΠ»ΡΡ ΡΠΎΠ·ΡΠΎΠ±ΠΈΡΠΈ ΠΊΠΎΠΌΠΏΠ°ΠΊΡΠ½Ρ Π΄ΠΆΠ΅ΡΠ΅Π»Π°
ΡΠ²ΠΈΠ΄ΠΊΠΈΡ
Π½Π΅ΠΉΡΡΠΎΠ½ΡΠ² ΡΠ΅ΡΠ΅Π΄ΠΎΠ²ΠΈΡΠ° Π΄Π»Ρ ΡΠ΅Π½ΡΠ³Π΅Π½ΡΠ²ΡΡΠΊΠΎΠ³ΠΎ ΡΠΎ Π³Π°ΠΌΠΌΠ°-Π»Π°Π·Π΅ΡΡΠ², Π° ΡΠ°ΠΊΠΎΠΆ Π΄Π°Ρ ΡΠ½ΡΠΊΠ°Π»ΡΠ½Ρ ΠΌΠΎΠΆΠ»ΠΈΠ²ΠΎΡΡΡ
ΡΠ½ΡΡΡΡΠ²Π°Π½Π½Ρ ΡΠ΄Π΅ΡΠ½ΠΈΡ
ΡΠ΅Π°ΠΊΡΡΠΉ Ρ ΠΎΡΡΠΈΠΌΠ°Π½Π½Ρ ΡΠ·ΠΎΡΠΎΠΏΡΠ².Π’Π΅ΠΎΡΠ΅ΡΠΈΡΠ΅ΡΠΊΠΈ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ Π½ΠΎΠ²ΡΠΉ ΠΌΠ΅ΡΠΎΠ΄ ΡΡΠΊΠΎΡΠ΅Π½ΠΈΡ ΠΈ ΠΊΡΠΌΡΠ»ΡΡΠΈΠΈ ΠΈΠΎΠ½ΠΎΠ² ΠΏΡΠΈ ΡΡΠ΅Ρ
ΠΌΠ΅ΡΠ½ΠΎΠΌ ΠΎΠ±ΠΆΠ°ΡΠΈΠΈ ΠΏΠ»Π°Π·ΠΌΡ Π²
βΡΠ²Π΅ΡΠΎΠ²ΠΎΠΉ Π»ΠΎΠ²ΡΡΠΊΠ΅β, ΡΠΎΠ·Π΄Π°Π²Π°Π΅ΠΌΠΎΠΉ Π² ΡΠΎΠΊΠ°Π»ΡΠ½ΠΎΠΉ ΠΎΠ±Π»Π°ΡΡΠΈ ΠΌΠΎΡΠ½ΠΎΠ³ΠΎ ΡΠ΅ΠΌΡΠΎΡΠ΅ΠΊΡΠ½Π΄Π½ΠΎΠ³ΠΎ Π»Π°Π·Π΅ΡΠ°. βΠ‘Π²Π΅ΡΠΎΠ²Π°Ρ Π»ΠΎΠ²ΡΡΠΊΠ° β ΡΠΎΡΠΌΠΈΡΡΠ΅ΡΡΡ ΠΏΡΡΠ΅ΠΌ Π·Π°Π΄Π΅ΡΠΆΠΊΠΈ Π²ΠΎ Π²ΡΠ΅ΠΌΠ΅Π½ΠΈ ΡΠ΅Π½ΡΡΠ°Π»ΡΠ½ΠΎΠΉ ΡΠ°ΡΡΠΈ ΡΠΎΠΊΡΡΠΈΡΡΠ΅ΠΌΠΎΠ³ΠΎ ΠΈΠΌΠΏΡΠ»ΡΡΠ°. Π§ΠΈΡΠ»Π΅Π½Π½ΡΠΌΠΈ ΠΌΠ΅ΡΠΎΠ΄Π°ΠΌΠΈ ΠΈΠ·ΡΡΠ΅Π½Ρ ΡΡΠ΅ΠΏΠ΅Π½Ρ ΠΊΡΠΌΡΠ»ΡΡΠΈΠΈ ΠΈ ΠΌΠ°ΠΊΡΠΈΠΌΠ°Π»ΡΠ½Π°Ρ ΡΠ½Π΅ΡΠ³ΠΈΡ ΡΡΠΊΠΎΡΠ΅Π½Π½ΡΡ
ΠΈΠΎΠ½ΠΎΠ² Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΠΌΠΎΡΠ½ΠΎΠ³ΠΎ Π»Π°Π·Π΅ΡΠ½ΠΎΠ³ΠΎ ΠΈΠΌΠΏΡΠ»ΡΡΠ°. ΠΠ±ΡΡΠΆΠ΄Π΅Π½Ρ ΡΠΈΠ·ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΌΠ΅Ρ
Π°Π½ΠΈΠ·ΠΌΡ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΡ ΠΏΠ»ΠΎΡΠ½ΠΎΡΡΠΈ ΠΈ ΡΠ½Π΅ΡΠ³ΠΈΠΈ
ΠΈΠΎΠ½ΠΎΠ² Π² ΠΏΡΠΈΠΎΡΠ΅Π²ΠΎΠΉ ΠΎΠ±Π»Π°ΡΡΠΈ ΠΏΠ»Π°Π·ΠΌΡ. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π½ΡΠΉ ΠΌΠ΅ΡΠΎΠ΄ ΠΊΡΠΌΡΠ»ΡΡΠΈΠΈ ΠΈ ΡΡΠΊΠΎΡΠ΅Π½ΠΈΡ ΠΈΠΎΠ½ΠΎΠ² ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΡΠΎΠ·Π΄Π°ΡΡ
ΠΊΠΎΠΌΠΏΠ°ΠΊΡΠ½ΡΠ΅ ΡΡΠΊΠΈΠ΅ ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΈ Π±ΡΡΡΡΡΡ
Π½Π΅ΠΉΡΡΠΎΠ½ΠΎΠ², ΡΡΠ΅Π΄Ρ Π΄Π»Ρ ΡΠ΅Π½ΡΠ³Π΅Π½ΠΎΠ²ΡΠΊΠΎΠ³ΠΎ ΠΈ Π³Π°ΠΌΠΌΠ°-Π»Π°Π·Π΅ΡΠΎΠ², Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠΎΠ·Π΄Π°Π΅Ρ ΡΠ½ΠΈΠΊΠ°Π»ΡΠ½ΡΠ΅ Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΠΎΡΡΠΈ ΠΈΠ½ΠΈΡΠΈΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠ΄Π΅ΡΠ½ΡΡ
ΡΠ΅Π°ΠΊΡΠΈΠΉ ΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΡ ΠΈΠ·ΠΎΡΠΎΠΏΠΎΠ²
Pion form factor and QCD sum rules: case of axial current
We present an analysis of QCD sum rules for pion form factor in
next-to-leading order of perturbation theory for the case of axial-vector pion
currents. The theoretical predictions for Q^2-dependence of pion form factor
are in good agreement with available experimental data. It is shown, that NLO
corrections are large in this case and should be taken into account in rigorous
theoretical analysis.Comment: LaTeX file, 10 pages, 5 figures, v2: added check of Ward identity
constrains at Q^2=0, the continuum thresholds are determined to satisfy
F_{\pi}(0)=1 condition with NLO accuracy, what led to \approx 10% reduction
of our numerical estimates, references adde
Two-loop sunset diagrams with three massive lines
In this paper, we consider the two-loop sunset diagram with two different
masses, m and M, at spacelike virtuality q^2 = -m^2. We find explicit
representations for the master integrals and an analytic result through
O(epsilon) in d=4-2epsilon space-time dimensions for the case of equal masses,
m = M.Comment: 11 page
Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
We present the next-to-leading order results for universal non-forward
anomalous dimensions of Wilson twist-2 operators in N=4 supersymmetric
Yang-Mills theory. The whole calculation was performed using supersymmetric
Ward identities derived in this paper together with already known QCD results
and does not involve any additional calculation of diagrams. We also considered
one particular limit of our result, which could potentially be interesting in
the context of AdS/CFT correspondence.Comment: 15 pages, references added, typos corrected, version accepted in JHE
Doubly heavy baryons in sum rules of NRQCD
The masses of baryons containing two heavy quarks and their couplings to the
corresponding quark currents are evaluated in the framework of NRQCD sum rules.
The coulomb-like corrections in the system of doubly heavy diquark are taken
into account, and the contribution of nonperturbative terms coming from the
quark, gluon and mixed condensates as well as the product of quark and gluon
condensates, is analyzed. The higher condensates destroy the factorization of
baryon and diquark correlators and provide the convergency of sum rule method.
As a result the accuracy of estimates is improved.Comment: 17 pages, LATEX file and 6 eps-figure
Pion form factor and QCD sum rules: case of pseudoscalar current
We present an analysis of QCD sum rules for pion form factor in
next-to-leading order of perturbation theory for the case of pseudoscalar pion
currents. The essential instanton contribution is reanalysed with account for
present more accurate values of parameters entering Single Instanton
Approximation (SIA). The theoretical curve obtained for Q^2 dependence of pion
form factor is in a good agreement with existing experimental data. To
calculate NLO corrections for double spectral densities we developed an
effective computational technic. The details of the method together with the
results for pion form factor in a more theoretically clean case of axial
interpolating currents will be presented elsewhere.Comment: LaTeX file, 12 pages, 5 figures, uses axodraw.st
Three-loop universal anomalous dimension of the Wilson operators in N=4 SUSY Yang-Mills model
We present results for the three-loop universal anomalous dimension of Wilson
twist-2 operators in the N=4 Supersymmetric Yang-Mills model. These results are
obtained by extracting the most complicated contributions from the three loop
non-singlet anomalous dimensions in QCD which were calculated recently. Their
singularities at j=1 agree with the predictions obtained from the BFKL equation
for N=4 SYM in the next-to-leading order. The asymptotics of universal
anomalous dimension at large j is in an agreement with the expectations based
on an interpolation between weak and strong coupling regimes in the framework
of the AdS/CFT correspondence.Comment: LaTeX file, 13 pages, no figures. Some corrections, additional
remarks and references. In the last version the analysis of anomalous
dimension at j -> 2 was improve
Semileptonic B_c-meson decays in sum rules of QCD and NRQCD
The semileptonic B_c-meson decays into the heavy quarkonia J/\psi (\eta_c)
and a pair of leptons are investigated in the framework of three-point sum
rules of QCD and NRQCD. Calculations of analytical expressions for the spectral
densities of QCD and NRQCD correlators with account for the Coulomb-like
\alpha_s/v terms are presented. The generalized relations due to the spin
symmetry of NRQCD for the form factors of B_c\to J/\psi (\eta_c)l\nu_l
transitions with l denoting one of the leptons e, \mu or \tau, are derived at
the recoil momentum close to zero. This allows one to express all NRQCD form
factors through a single universal quantity, an analogue of Isgur-Wise function
at the maximal invariant mass of lepton pair. The gluon condensate corrections
to three-point functions are calculated both in full QCD in the Borel transform
scheme and in NRQCD in the moment scheme. This enlarges the parameteric
stability region of sum rule method, that makes the results of the approach to
be more reliable. Numerical estimates of widths for the transitions of B_c\to
J/\psi (\eta_c)l\nu_l are presented.Comment: 37 pages, Latex file, 10 figures, 15 epsf-insertions, revised version
to appear in Nucl.Phys.
Experimental research and work development on the helium ions linac
The paper provides a brief summary of the experimental research carried out at the present time at the materials science complex developed at the NSC KIPT. The main directions for the development of the work carried out have been determined. The complex is based on a linear accelerator of helium ions. The features and advantages of the accelerating structure of the accelerator, which is based on the principle of APF, are described. A technique was developed and irradiation of candidate materials for the divertor and the first wall of the TNR was carried out. The damageability of the irradiated samples could create from 3 to 80 dpa.ΠΠ°Π²Π΅Π΄Π΅Π½ΠΈΠΉ ΠΊΠΎΡΠΎΡΠΊΠΈΠΉ Π²ΠΈΠΊΠ»Π°Π΄ Π΅ΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΠΈΡ
Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Ρ, ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½ΠΈΡ
Π½Π° ΠΌΠ°ΡΠ΅ΡΡΠ°Π»ΠΎΠ·Π½Π°Π²ΡΡΠΊΠΎΠΌΡ ΡΠ°Π΄ΡΠ°ΡΡΠΉΠ½ΠΎΠΌΡ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΡ, ΡΠΎΠ·ΡΠΎΠ±Π»Π΅Π½ΠΎΠΌΡ Π² ΠΠΠ¦ Π₯Π€Π’Π. ΠΠΎΠΌΠΏΠ»Π΅ΠΊΡ Π±Π°Π·ΡΡΡΡΡΡ Π½Π° Π»ΡΠ½ΡΠΉΠ½ΠΎΠΌΡ ΠΏΡΠΈΡΠΊΠΎΡΡΠ²Π°ΡΡ ΡΠΎΠ½ΡΠ² Π³Π΅Π»ΡΡ. ΠΠΏΠΈΡΠ°Π½Ρ ΠΎΡΠΎΠ±Π»ΠΈΠ²ΠΎΡΡΡ ΡΠ° ΠΏΠ΅ΡΠ΅Π²Π°Π³ΠΈ ΠΏΡΠΈΡΠΊΠΎΡΡΡΡΠΎΡ ΡΡΡΡΠΊΡΡΡΠΈ, Π² ΠΎΡΠ½ΠΎΠ²Ρ ΡΠΊΠΎΡ ΠΏΠΎΠΊΠ»Π°Π΄Π΅Π½ΠΈΠΉ ΠΏΡΠΈΠ½ΡΠΈΠΏ Π·ΠΌΡΠ½Π½ΠΎΡΠ°Π·ΠΎΠ²ΠΎΠ³ΠΎ ΡΠΎΠΊΡΡΡΠ²Π°Π½Π½Ρ (ΠΠ€Π€). ΠΠΈΠ·Π½Π°ΡΠ΅Π½Ρ ΠΎΡΠ½ΠΎΠ²Π½Ρ Π½Π°ΠΏΡΡΠΌΠΊΠΈ ΡΠΎΠ·Π²ΠΈΡΠΊΡ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΠ΅Π½Ρ. Π ΠΎΠ·ΡΠΎΠ±Π»Π΅Π½ΠΎ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΡΠ° ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΠΎΠΏΡΠΎΠΌΡΠ½Π΅Π½Π½Ρ ΡΡΠ·Π½ΠΎΠ³ΠΎ ΡΠΈΠΏΡ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΡΠΉΠ½ΠΈΡ
ΠΌΠ°ΡΠ΅ΡΡΠ°Π»ΡΠ² ΡΠ° ΠΊΠ°Π½Π΄ΠΈΠ΄Π°ΡΠ½ΠΈΡ
ΠΌΠ°ΡΠ΅ΡΡΠ°Π»ΡΠ² Π΄Π»Ρ Π΄ΠΈΠ²Π΅ΡΡΠΎΡΠ° Ρ ΠΏΠ΅ΡΡΠΎΡ ΡΡΡΠ½ΠΊΠΈ Π’Π―Π . ΠΠΎΡΠΊΠΎΠ΄ΠΆΡΠ²Π°Π½ΡΡΡΡ ΠΎΠΏΡΠΎΠΌΡΠ½Π΅Π½ΠΈΡ
Π·ΡΠ°Π·ΠΊΡΠ² Π² Π΅ΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Ρ
ΡΡΠ²ΠΎΡΡΠ²Π°Π»Π°ΡΡ Π² ΠΌΠ΅ΠΆΠ°Ρ
3β¦80 ΡΠ½Π°.ΠΡΠΈΠ²Π΅Π΄Π΅Π½ΠΎ ΠΊΡΠ°ΡΠΊΠΎΠ΅ ΠΈΠ·Π»ΠΎΠΆΠ΅Π½ΠΈΠ΅ ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Π»ΡΠ½ΡΡ
ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ, ΠΏΡΠΎΠ²ΠΎΠ΄ΠΈΠΌΡΡ
Π½Π° ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ²Π΅Π΄ΡΠ΅ΡΠΊΠΎΠΌ ΡΠ°Π΄ΠΈΠ°ΡΠΈΠΎΠ½Π½ΠΎΠΌ ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ΅, ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΠΎΠΌ Π² ΠΠΠ¦ Π₯Π€Π’Π. ΠΠΎΠΌΠΏΠ»Π΅ΠΊΡ Π±Π°Π·ΠΈΡΡΠ΅ΡΡΡ Π½Π° Π»ΠΈΠ½Π΅ΠΉΠ½ΠΎΠΌ ΡΡΠΊΠΎΡΠΈΡΠ΅Π»Π΅ ΠΈΠΎΠ½ΠΎΠ² Π³Π΅Π»ΠΈΡ. ΠΠΏΠΈΡΠ°Π½Ρ ΠΎΡΠΎΠ±Π΅Π½Π½ΠΎΡΡΠΈ ΠΈ ΠΏΡΠ΅ΠΈΠΌΡΡΠ΅ΡΡΠ²Π° ΡΡΠΊΠΎΡΡΡΡΠ΅ΠΉ ΡΡΡΡΠΊΡΡΡΡ, Π² ΠΎΡΠ½ΠΎΠ²Ρ ΠΊΠΎΡΠΎΡΠΎΠΉ ΠΏΠΎΠ»ΠΎΠΆΠ΅Π½ ΠΏΡΠΈΠ½ΡΠΈΠΏ ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΠΎ-ΡΠ°Π·ΠΎΠ²ΠΎΠΉ ΡΠΎΠΊΡΡΠΈΡΠΎΠ²ΠΊΠΈ (ΠΠ€Π€). ΠΠΏΡΠ΅Π΄Π΅Π»Π΅Π½Ρ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠ°Π·Π²ΠΈΡΠΈΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ. Π Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Ρ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΠΈ ΠΏΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΠΎΠ±Π»ΡΡΠ΅Π½ΠΈΡ ΡΠ°Π·Π½ΠΎΠ³ΠΎ ΡΠΈΠΏΠ° ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΎΠ½Π½ΡΡ
ΠΈ ΠΊΠ°Π½Π΄ΠΈΠ΄Π°ΡΠ½ΡΡ
ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ² Π΄Π»Ρ Π΄ΠΈΠ²Π΅ΡΡΠΎΡΠ° ΠΈ ΠΏΠ΅ΡΠ²ΠΎΠΉ ΡΡΠ΅Π½ΠΊΠΈ Π’Π―Π . ΠΠΎΠ²ΡΠ΅ΠΆΠ΄Π°Π΅ΠΌΠΎΡΡΡ ΠΎΠ±Π»ΡΡΠ΅Π½Π½ΡΡ
ΠΎΠ±ΡΠ°Π·ΡΠΎΠ² Π² ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠ°Ρ
ΡΠΎΠ·Π΄Π°Π²Π°Π»Π°ΡΡ Π² ΠΏΡΠ΅Π΄Π΅Π»Π°Ρ
3β¦80 ΡΠ½Π°
Heavy mass expansion, light-by-light scattering and the anomalous magnetic moment of the muon
Contributions from light-by-light scattering to (g_\mu-2)/2, the anomalous
magnetic moment of the muon, are mediated by the exchange of charged fermions
or scalar bosons. Assuming large masses M for the virtual particles and
employing the technique of large mass expansion, analytical results are
obtained for virtual fermions and scalars in the form of a series in (m_\mu
/M)^2. This series is well convergent even for the case M=m_\mu. For virtual
fermions, the expansion confirms published analytical formulae. For virtual
scalars, the result can be used to evaluate the contribution from charged
pions. In this case our result confirms already available numerical
evaluations, however, it is significantly more precise.Comment: revtex4, eps figure