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The proton radiative capture $^{12,13}$C$(p,{\gamma})$ reactions at astrophysical energies, key processes in the CNO cycle, are revisited in the potential model with the proton-nucleus potential for both the scattering and bound states…

Nuclear Theory · Physics 2026-02-16 Nguyen Le Anh , Nguyen Hoang Phuc , Dao T. Khoa , Le Hoang Chien , Nguyen Tri Toan Phuc

Bound state properties of the ground (bound) ${}^{1}S(L = 0)-$state(s) in the four-body positronium hydrides ${}^{1}$HPs, ${}^{2}$HPs (DPs), ${}^{3}$HPs (TPs) and MuPs are determined and investigated. By using numerical data from our…

Atomic Physics · Physics 2024-05-16 Alexei M. Frolov

We present a new, simplified analysis of the low-energy electron-positron interaction, and use the resulting effective theory to calculate the binding effects that contribute to the decay rate, Gamma, of orthopositronium, through…

High Energy Physics - Phenomenology · Physics 2009-12-30 Richard J. Hill , G. Peter Lepage

We develop a model of molecular binding based on the Bohr-Sommerfeld description of atoms together with a constraint taken from conventional quantum mechanics. The model can describe the binding energy curves of H2, H3 and other molecules…

Chemical Physics · Physics 2009-11-11 Anatoly A. Svidzinsky , Siu A. Chin , Marlan O. Scully

The calculation of the hindered roton-phonon energy levels of a hydrogen molecule in a confining potential with different symmetries is systematized for the case when the rotational angular momentum $J$ is a good quantum number. One goal of…

Condensed Matter · Physics 2009-11-07 T. Yildirim , A. B. Harris

In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge $Ze$, $Z > 0$, fixed at the origin and an electron of mass $m$ and charge $e$. This system forms…

Mathematical Physics · Physics 2007-05-23 Christian Hainzl , Masao Hirokawa , Herbert Spohn

The exciton on a single polydiacetylene chain is considered in a Wannier approach, taking into account the surrounding polarizable medium. The electron-hole Coulomb interaction potential is explictly obtained for a quantum wire of circular…

Strongly Correlated Electrons · Physics 2007-05-23 Francois Dubin , Michel Schott

We evaluate the rate of energy loss of a plasmon in a disorder-free carbon nanotube. The plasmon decays into neutral bosonic excitations of the electron liquid. The process is mediated either by phonon-assisted backscattering of a single…

Strongly Correlated Electrons · Physics 2011-09-12 Wei Chen , A. V. Andreev , E. G. Mishchenko , L. I. Glazman

Different computational methods are employed to evaluate elastic (rotationally summed) integral and differential cross sections for low energy (below about 10 eV) positron scattering off gas-phase C$_2$H$_2$ molecules. The computations are…

Chemical Physics · Physics 2009-11-13 J. Franz , F. A. Gianturco , K. L. Baluja , J. Tennyson , R. Carey , R. Montuoro , R. R. Lucchese , T. Stoecklin

The explicit expression for the R-ratio of electron-positron annihilation into hadrons, which properly accounts for all the effects due to continuation of the spacelike perturbative results into the timelike domain, is obtained at an…

High Energy Physics - Phenomenology · Physics 2019-10-07 A. V. Nesterenko

Understanding the dynamics of positron cooling in gases, including the fraction of positrons surviving to thermalisation, is critical for accurate interpretation of positron lifetime spectra, for the development of efficient positron…

Atomic Physics · Physics 2017-11-22 D. G. Green

A method is presented for calculating binding energies and other properties of extended interacting systems using the projected density of transitions (PDoT) which is the probability distribution for transitions of different energies…

Strongly Correlated Electrons · Physics 2009-10-31 Roger Haydock

The total cross section for electron-positron annihilation into hadrons is calculated in the region just below the B meson threshold. QCD corrections up to third order, quark mass effects, initial state radiation, the running of alpha_QED…

High Energy Physics - Phenomenology · Physics 2016-08-24 K. G. Chetyrkin , J. H. Kuhn , T. Teubner

We consider a possibility of capture of a heavy charged massive particle $\chi^-$ by the nucleus leading to appearance of a bound state. A simple analytic formula allowing to calculate binding energies of the $N\chi^-$ bound state for…

High Energy Physics - Phenomenology · Physics 2010-08-23 V. V. Flambaum , G. McManus , S. G. Porsev

We present a mathematically rigorous method suitable for solving three-body bound state and scattering problems when the inter-particle interaction is of a hard-core nature. The proposed method is a variant of the Boundary Condition Model…

Chemical Physics · Physics 2008-02-03 E. A. Kolganova , A. K. Motovilov , S. A. Sofianos

We investigate the modeling of positronium (Ps) states and their pick-off annihilation trapped at open volumes pockets in condensed molecular matter. Our starting point is the interacting many-body system of Ps and a He atom because it is…

Atomic and Molecular Clusters · Physics 2014-10-20 A. Zubiaga , F. Tuomisto , M. Puska

$\gamma$-ray spectra for positron annihilation with the core and valence electrons of the noble gas atoms Ar, Kr and Xe is calculated within the framework of diagrammatic many-body theory. The effect of positron-atom and short-range…

Atomic Physics · Physics 2015-03-06 D. G. Green , G. F. Gribakin

The positronium molecule (Ps$_2$) has not been experimentally observed yet because its tiny (4.5 eV) binding energy cannot be detected when the molecule annihilates by emitting two photons with energy of 0.51 MeV each. It is shown in this…

Atomic Physics · Physics 2009-10-31 J. Usukura , K. Varga , Y. Suzuki

We approach to the ortho-positronium (o-Ps) as a relativistic two-body problem in $2+1$ dimensions in which o-Ps is composed of two-oppositely charged particles interacting via an attractive Coulomb force. In addition to separation of…

High Energy Physics - Phenomenology · Physics 2019-07-11 Abdullah Guvendi , Yusuf Sucu

The energy eigenvalues and the wave functions of an $\alpha$ particle in a Bohrium $270$ nucleus were calculated by solving Schr\"odinger equation for Generalized Symmetric Woods-Saxon potential. Using the energy spectrum by excluding and…

Nuclear Theory · Physics 2018-01-08 B. C. Lütfüoğlu , M. Erdogan
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