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Makeenko Y.,Institute of Theoretical and Experimental Physics
Physical Review D - Particles, Fields, Gravitation and Cosmology | Year: 2011

QCD string is formed at distances larger than the confinement scale and can be described by the Polchinski-Strominger effective string theory with a nonpolynomial action, which has nevertheless a well-defined semiclassical expansion around a long-string ground state. We utilize modern ideas about the Wilson-loop/scattering-amplitude duality to calculate scattering amplitudes and show that the expansion parameter in the effective string theory is small in the Regge kinematical regime. For the amplitudes we obtain the Regge behavior with a linear trajectory of the intercept (d-2)/24 in d dimensions, which is computed semiclassically as a momentum-space Lüscher term, and discuss an application to meson scattering amplitudes in QCD. © 2011 American Physical Society. Source


Barabash A.S.,Institute of Theoretical and Experimental Physics
Physical Review C - Nuclear Physics | Year: 2010

All existing positive results on two-neutrino double-β decay in different nuclei were analyzed. Using the procedure recommended by the Particle Data Group, weighted average values for half-lives of Ca48, Ge76, Se82, Zr96, Mo100, Mo100-Ru100 (01+), Cd116, Te130, Nd150, Nd150-Sm150 (01+), and U238 were obtained. Existing geochemical data were analyzed, and recommended values for half-lives of Te128, Te130, and Ba130 are proposed. Given the measured half-life values, nuclear matrix elements were calculated. I recommend the use of these results as the most currently reliable values for the half-lives and nuclear matrix elements. © 2010 The American Physical Society. Source


Barabash A.S.,Institute of Theoretical and Experimental Physics
Nuclear Physics A | Year: 2015

All existing positive results on two-neutrino double beta decay in different nuclei were analyzed. Using the procedure recommended by the Particle Data Group, weighted average values for half-lives of 48Ca, 76Ge, 82Se, 96Zr, 100Mo, 100Mo-100Ru (01+), 116Cd, 130Te, 136Xe, 150Nd, 150Nd-150Sm (01+) and 238U were obtained. Existing geochemical data were analyzed and recommended values for half-lives of 128Te and 130Ba are proposed. Given the measured half-life values, nuclear matrix elements were calculated using latest (more reliable and precise) values for phase space factor. Finally, previous results (PRC 81 (2010) 035501) were updated and results for 136Xe were added. © 2015 Elsevier B.V. Source


Simonov Yu.A.,Institute of Theoretical and Experimental Physics
Physical Review D - Particles, Fields, Gravitation and Cosmology | Year: 2015

Wave functions and energy eigenvalues of the path integral Hamiltonian are studied in the Lorentz frame moving with velocity v. The instantaneous interaction produced by the Wilson loop is shown to be reduced by an overall factor 1-(vc)2. As a result, one obtains the boosted energy eigenvalues in the Lorentz covariant form E=P2+M02, where M0 is the c.m. energy, and this form is tested for two free particles and for the Coulomb and linear interaction. Using Lorentz-contracted wave functions of the bound states, one obtains the scaled-parton wave functions and valence quark distributions for large P. Matrix elements containing wave functions moving with different velocities strongly decrease with growing relative momentum; e.g., for the timelike form factors, one obtains Fh(Q0)∼(MhQ0)2nh with nh=1 and 2 for mesons and baryons, as in the "quark counting rule." © 2015 American Physical Society. Source


Simonov Y.A.,Institute of Theoretical and Experimental Physics
Physical Review D - Particles, Fields, Gravitation and Cosmology | Year: 2013

The proper-time 4D path integral is used as a starting point to derive the new explicit parametric form of the quark-antiquark Green's function in gluonic and QED fields entering as a common Wilson loop. The subsequent vacuum averaging of the latter allows us to derive the instantaneous Hamiltonian. The explicit form and solutions are given in the case of the qq̄ mesons in magnetic field. © 2013 American Physical Society. Source

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