# V. Lensky - ITEP, Moscow

## Contact Details

NameV. Lensky |
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AffiliationITEP, Moscow |
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CityMoscow |
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CountryRussia |
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## Pubs By Year |
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## External Links |
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## Pub CategoriesNuclear Theory (25) High Energy Physics - Phenomenology (15) Nuclear Experiment (12) High Energy Physics - Theory (4) Nonlinear Sciences - Pattern Formation and Solitons (3) Mathematics - Mathematical Physics (3) Mathematical Physics (3) Quantum Physics (2) Physics - Atomic Physics (2) High Energy Physics - Lattice (1) Physics - Materials Science (1) |

## Publications Authored By V. Lensky

We present a detailed derivation of the two sum rules relating the spin polarizabilities measured in real, virtual, and doubly-virtual Compton scattering. For example, the polarizability $\delta_{LT}$, accessed in inclusive electron scattering, is related to the spin polarizability $\gamma_{E1E1}$ and the slope of generalized polarizabilities $P^{(M1,M1)1}-P^{(L1,L1)1}$, measured in, respectively, the real and the virtual Compton scattering. We verify these sum rules in different variants of chiral perturbation theory, discuss their empirical verification for the proton, and prospect their use in studies of the nucleon spin structure. Read More

The nucleon generalized polarizabilities (GPs), probed in virtual Compton scattering (VCS), describe the spatial distribution of the polarization density in a nucleon. They are accessed experimentally via the process of electron-proton bremsstrahlung ($ep\to ep\gamma$) at electron-beam facilities, such as MIT-Bates, CEBAF (Jefferson Lab), and MAMI (Mainz). We present the calculation of the nucleon GPs and VCS observables at next-to-leading order in baryon chiral perturbation theory (B$\chi$PT), and confront the results with the empirical information. Read More

**Authors:**V. Sokhoyan, E. J. Downie, E. Mornacchi, J. A. McGovern, N. Krupina, F. Afzal, J. Ahrens, C. S. Akondi, J. R. M. Annand, H. J. Arends, R. Beck, A. Braghieri, W. J. Briscoe, F. Cividini, C. Collicott, S. Costanza, A. Denig, M. Dieterle, M. Ferretti, S. Gardner, S. Garni, D. I. Glazier, D. Glowa, W. Gradl, G. Gurevich, D. Hamilton, D. Hornidge, G. M. Huber, A. Käser, V. L. Kashevarov, I. Keshelashvili, R. Kondratiev, M. Korolija, B. Krusche, V. Lensky, J. Linturi, V. Lisin, K. Livingston, I. J. D. MacGregor, R. Macrae, D. M. Manley, P. P. Martel, D. G. Middleton, R. Miskimen, A. Mushkarenkov, A. Neiser, M. Oberle, H. Ortega Spina, M. Ostrick, P. Ott, P. B. Otte, B. Oussena, D. Paudyal, P. Pedroni, A. Polonski, V. Polyansky, S. Prakhov, A. Rajabi, T. Rostomyan, A. Sarty, S. Schumann, O. Steffen, I. I. Strakovsky, B. Strandberg, T. Strub, I. Supek, M. Thiel, A. Thomas, M. Unverzagt, S. Wagner, D. P. Watts, J. Wettig, L. Witthauer, D. Werthmüller, M. Wolfes, L. Zana

**Category:**Nuclear Experiment

The scalar dipole polarizabilities, $\alpha_{E1}$ and $\beta_{M1}$, are fundamental properties related to the internal dynamics of the nucleon. The currently accepted values of the proton polarizabilities were determined by fitting to unpolarized proton Compton scattering cross section data. The measurement of the beam asymmetry $\Sigma_{3}$ in a certain kinematical range provides an alternative approach to the extraction of the scalar polarizabilities. Read More

We construct a coordinate-space potential based on pionless effective field theory with a Gaussian regulator. Charge-symmetry breaking is included through the Coulomb potential and through two- and three-body contact interactions. Starting with the effective field theory potential, we apply the stochastic variational method to determine the ground states of nuclei with mass number $A\leq 4$. Read More

We study excitations of solitary waves -- the kinks -- in scalar models with degree eight polynomial self-interaction in (1+1) dimensions. We perform numerical studies of scattering of two kinks with an exponential asymptotic off each other and analyse the occurring resonance phenomena. We connect these phenomena to the energy exchange between the translational and the vibrational modes of the colliding kinks. Read More

We update the predictions of the SU(2) baryon chiral perturbation theory for the dipole polarisabilities of the proton, $\{\alpha_{E1},\,\beta_{M1}\}_p=\{11.2(0.7),\,3. Read More

We study excitation spectra of BPS-saturated topological solutions -- the kinks -- of the $\varphi^8$ scalar field model in $(1+1)$ dimensions, for three different choices of the model parameters. We demonstrate that some of these kinks have a vibrational mode, apart from the trivial zero (translational) excitation. One of the considered kinks is shown to have three vibrational modes. Read More

**Affiliations:**

^{1}ITEP, Moscow,

^{2}KPH, U. Mainz,

^{3}KPH, U. Mainz

We obtain leading- and next-to-leading order predictions of chiral perturbation theory for several prominent moments of nucleon structure functions. These free-parameter free results turn out to be in overall agreement with the available empirical information on nearly all of the considered moments, in the region of low-momentum transfer ($Q^2 < 0.3$ GeV$^2$). Read More

We present a fit of the spin-independent electromagnetic polarisabilities of the proton to low-energy Compton scattering data in the framework of covariant baryon chiral effective field theory. Using the Baldin sum rule to constrain their sum, we obtain $\alpha=[10.6\pm0. Read More

The proton polarizability effect in the muonic-hydrogen Lamb shift comes out as a prediction of baryon chiral perturbation theory at leading order and our calculation yields for it: $\Delta E^{(\mathrm{pol})} (2P-2S) = 8^{+3}_{-1}\, \mu$eV. This result is consistent with most of evaluations based on dispersive sum rules, but is about a factor of two smaller than the recent result obtained in {\em heavy-baryon} chiral perturbation theory. We also find that the effect of $\Delta(1232)$-resonance excitation on the Lamb-shift is suppressed, as is the entire contribution of the magnetic polarizability; the electric polarizability dominates. Read More

**Authors:**S. Dymov, V. Shmakova, T. Azaryan, S. Barsov, V. Baru, P. Benati, D. Chiladze, A. Dzyuba, R. Engels, M. Gaisser, R. Gebel, K. Grigoryev, P. Goslawski, G. Guidoboni, M. Hartmann, A. Kacharava, V. Kamerdzhiev, A. Khoukaz, V. Komarov, P. Kulessa, A. Kulikov, V. Kurbatov, A. Lehrach, P. Lenisa, V. Lensky, N. Lomidze, B. Lorentz, G. Macharashvili, R. Maier, D. Mchedlishvili, S. Merzliakov, M. Mielke, M. Mikirtychyants, S. Mikirtytchiants, M. Nioradze, D. Oellers, H. Ohm, A. Polyanskiy, M. Papenbrock, D. Prasuhn, F. Rathmann, V. Serdyuk, H. Seyfarth, E. Steffens, H. J. Stein, H. Stockhorst, H. Ströher, M. Tabidze, S. Trusov, D. Tsirkov, Yu. Uzikov, Yu. Valdau, Ch. Weidemann, C. Wilkin, P. Wüstner, Q. J. Ye, M. Zhabitsky, for the ANKE Collaboration

The transverse spin correlations A_{x,x} and A_{y,y} have been measured in the pol{d} pol{p} -> p_spec {pp}_s pi- reaction at COSY-ANKE at 353 MeV per nucleon. Here {pp}_s denotes a proton-proton pair with low excitation energy, which is dominantly in the 1S0 state. By measuring three protons in the final state it was possible to extract events where there was a spectator proton p_spec so that the reaction could be interpreted in terms of quasi-free pol{n} pol{p} -> {pp}_s pi-. Read More

We compare the predictions of different variants of chiral effective field theory for the gamma-p elastic scattering differential cross section. We pay particular attention to the role of pion loops, and the impact that a heavy-baryon expansion has on the behavior of those loops. We also correct erroneous results for these loops that were published in Phys. Read More

**Authors:**D. Tsirkov, T. Azaryan, V. Baru, D. Chiladze, S. Dymov, A. Dzyuba, R. Gebel, P. Goslawski, C. Hanhart, M. Hartmann, A. Kacharava, A. Khoukaz, V. Komarov, P. Kulessa, A. Kulikov, V. Kurbatov, V. Lensky, B. Lorentz, G. Macharashvili, D. Mchedslishvili, M. Mielke, S. Mikirtytchiants, S. Merzliakov, M. Nioradze, H. Ohm, M. Papenbrock, F. Rathmann, V. Serdyuk, V. Shmakova, H. Stroeher, Yu. Uzikov, Yu. Valdau, C. Wilkin

In order to establish links between p-wave pion production in nucleon-nucleon collisions and low energy three-nucleon scattering, an extensive programme of experiments on pion production is currently underway at COSY-ANKE. The final proton pair is detected at very low excitation energy, leading to an S-wave diproton, denoted here as {pp}_s. We now report on measurements of the differential cross section and analysing power of the pol{p}p->{pp}_s pi^0$ reaction at 353 MeV. Read More

**Authors:**S. Dymov, T. Azaryan, S. Barsov, V. Baru, P. Benati, S. Bertelli, D. Chiladze, A. Dzyuba, R. Gebel, P. Goslawski, G. Guidoboni, C. Hanhart, M. Hartmann, A. Kacharava, A. Khoukaz, V. Komarov, P. Kulessa, A. Kulikov, V. Kurbatov, P. Lenisa, V. Lensky, N. Lomidze, B. Lorentz, G. Macharashvili, M. Mielke, S. Mikirtytchiants, S. Merzliakov, H. Ohm, M. Papenbrock, F. Rathmann, V. Serdyuk, V. Shmakova, H. Stroeher, M. Tabidze, D. Tsirkov, S. Trusov, Yu. Uzikov, Yu. Valdau, C. Wilkin

In order to establish links between p-wave pion production in nucleon-nucleon collisions and low energy three-nucleon scattering, an extensive programme of experiments on pion production is currently underway at COSY-ANKE. The final proton pair is measured at very low excitation energy, leading to an S-wave diproton, denoted here as {pp}_s. By using a deuterium target we have obtained data on the differential cross section and analysing power of the quasi-free pol{p}n -> {pp}_s pi^- reaction at 353 MeV. Read More

We apply the renormalisation group (RG) to analyse scattering by short-range forces in systems with coupled channels. For two S-wave channels, we find three fixed points, corresponding to systems with zero, one or two bound or virtual states at threshold. We use the RG to determine the power countings for the resulting effective field theories. Read More

Utilizing the Foldy-Wouthuysen representation, we use a bottom-up approach to construct heavy-baryon Lagrangian terms, without employing a relativistic Lagrangian as the starting point. The couplings obtained this way feature a straightforward $1/m$ expansion, which ensures Lorentz invariance order by order in effective field theories. We illustrate possible applications with two examples in the context of chiral effective field theory: the pion-nucleon coupling, which reproduces the results in the literature, and the pion-nucleon-delta coupling, which does not employ the Rarita-Schwinger field for describing the delta isobar, and hence does not invoke any spurious degrees of freedom. Read More

We investigate p-wave pion production in nucleon-nucleon collisions up to next-to-next-to-leading order in chiral effective field theory. In particular, we show that it is possible to describe simultaneously the p-wave amplitudes in the $pn\to pp\pi^-$, $pp\to pn\pi^+$, $pp\to d\pi^+$ channels by adjusting a single low-energy constant accompanying the short-range operator which is available at this order. This study provides a non-trivial test of the applicability of chiral effective field theory to reactions of the type $NN\to NN\pi$. Read More

**Affiliations:**

^{1}ECT*, Trento and ITEP, Moscow,

^{2}Mainz U. and ECT*, Trento

**Category:**High Energy Physics - Phenomenology

We study low-energy nucleon Compton scattering in the framework of baryon chiral perturbation theory (B$\chi$PT) with pion, nucleon, and $\Delta$(1232) degrees of freedom, up to and including the next-to-next-to-leading order (NNLO). We include the effects of order $p^2$, $p^3$ and $p^4/\varDelta$, with $\varDelta\approx 300$ MeV the $\Delta$-resonance excitation energy. These are all "predictive" powers in the sense that no unknown low-energy constants enter until at least one order higher (i. Read More

We compute the Compton scattering off the nucleons in the framework of manifestly covariant baryon chiral perturbation theory (B$\chi$PT). The results for observables differ substantially from the corresponding calculations in heavy-baryon chiral perturbation theory (HB$\chi$PT), most appreciably in the forward kinematics. We verify that the covariant $p^3$ result fulfills the forward-Compton-scattering sum rules. Read More

We compute the Compton scattering off the nucleons in the framework of manifestly covariant baryon chiral perturbation theory (B$\chi$PT). The results for observables differ substantially from the corresponding calculations in heavy-baryon chiral perturbation theory (HB$\chi$PT), most appreciably in the forward kinematics. We verify that the covariant $p^3$ result fulfills the forward-Compton-scattering sum rules. Read More

A complete calculation of the corrections to pion-deuteron scattering length up to order $\chi^{3/2}$ with $\chi=m_{\pi}/M_{N}$ is performed. The calculation includes the dispersive contributions and corrections due to the explicit treatment of the $\Delta$ resonance. s-wave pion-nucleon scattering parameters are extracted from a combined analysis of modern experimental data. Read More

**Category:**Nuclear Theory

We survey the recent developments in the reaction $NN \to NN\pi$ in effective field theory. We show that the proper construction of the production operator needs a careful separation of irreducible pieces from reducible ones. The result of this consideration is a complete cancellation of all loops in the production operator at NLO. Read More

An analytical-numerical analysis of the singular self-adjoint spectral problem for a system of three linear ordinary second-order differential equations defined on the entire real exis is presented. This problem comes to existence in the nonlinear field theory. The dependence of the differential equations on the spectral parameter is nonlinear, which results in a quadratic operator Hermitian pencil. Read More

We investigate the role of the delta isobar in the reaction $\pi d\to \pi d$ at threshold in chiral effective field theory. We discuss the corresponding power counting and argue that this calculation completes the evaluation of diagrams up to the order (m_pi/M_N)^(3/2), with m_pi (M_N) for the pion (nucleon) mass. The net effect of all delta contributions at this order to the pion-deuteron scattering length is (2. Read More

We discuss the possibility to extract the neutron-neutron scattering length a_{nn} from experimental spectra on the reaction gamma d --> pi^+ nn. The transition operator is calculated to high accuracy from chiral perturbation theory. We argue that for properly chosen kinematics, the theoretical uncertainty of the method can be as low as 0. Read More

We study the production amplitude for the reaction $NN\to NN\pi$ up to next-to-leading order in chiral perturbation theory. We show that the irreducible chiral loops at this order exactly cancel those terms that arise from the off-shell parts of the $\pi N$ rescattering vertex. This cancellation is required for formal consistency of the whole scheme. Read More

We present a parameter--free calculation of the dispersive and absorptive contributions to the pion--deuteron scattering length based on chiral perturbation theory. We show that once all diagrams contributing to leading order to this process are included, their net effect provides a small correction to the real part of the pion--deuteron scattering length. At the same time the sizable imaginary part of the pion--deuteron scattering length is reproduced accurately. Read More

We study the production amplitude for the reaction NN->NNpi up to next--to--leading order in chiral perturbation theory using a counting scheme that takes into account the large scale introduced by the initial momentum. In particular we investigate a subtlety that arises once the leading loop contributions are convoluted with the NN wavefunctions as demanded by the non--perturbative nature of the NN interaction. We show how to properly identify the irreducible contribution of loop diagrams in such type of reaction. Read More

The reaction $\gamma d\to \pi^+ nn$ is calculated up to order $\chi^{5/2}$ in chiral perturbation theory, where $\chi$ denotes the ratio of the pion to the nucleon mass. Special emphasis is put on the role of nucleon--recoil corrections that are the source of contributions with fractional power in $\chi$. Using the known near threshold production amplitude for $\gamma p\to \pi^+ n$ as the only input, the total cross section for $\gamma d\to \pi^+ nn$ is described very well. Read More

We have reexamined the problem of $n-\bar n$ oscillations for ultra-cold neutrons (UCN) confined within a trap. It is shown that for up to $10^3$ collisions with the walls the process can be described in terms of wave packets. The exact equation is derived describing the time-evolution of the $\bar n$-component for an arbitrary number of collisions with the trap walls. Read More

The states of hydrogen atom with principal quantum number n <= 3 and zero magnetic quantum number in constant homogeneous magnetic field H are considered. The perturbation theory series is summed with the help of Borel transformation and conformal mapping of the Borel variable. Convergence of approximate energy eigenvalues and their agreement with corresponding existing results are observed for external fields up to n^3 H ~ 5. Read More

A classical field system of two interacting fields -- a real Higgs field and a complex scalar field -- is considered. It is shown that in such field system a non-trivial solution exists, which is U(1) charged topological kink. Some questions of stability of the obtained solution are discussed. Read More