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Related papers: A Two Potential Formula and its Application to Pro…

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We propose an alternative approach to L\"uscher's formula for extracting two-body scattering phase shifts from finite volume spectra with no reliance on the partial wave expansion. We use an effective-field-theory-based Hamiltonian method…

High Energy Physics - Lattice · Physics 2021-10-14 Lu Meng , E. Epelbaum

In order to describe few-body scattering in the case of the Coulomb interaction, an approach based on splitting the reaction potential into a finite range part and a long range tail part is presented. The solution to the Schr\"odinger…

Atomic Physics · Physics 2020-01-01 E. Yarevsky , S. L. Yakovlev , N. Elander , Åsa Larson

We consider tunneling to the continuum in a multi-dimensional potential. It is demonstrate that this problem can be treated as two separate problems: a) a bound state and b) a non-resonance scattering problem, by a proper splitting of the…

Nuclear Theory · Physics 2016-11-23 S. A. Gurvitz

A solution of the scattering problem is obtained for the Schr\"odinger equation with the potential of induced dipole interaction, which decreases as the inverse square of the distance. Such a potential arises in the collision of an incident…

Atomic Physics · Physics 2023-08-23 V. A. Gradusov , S. L. Yakovlev

Asymptotic behavior of the scattering amplitude for two scalar particles by scalar, vector and tensor exchanges at high energy and fixed momentum transfers is reconsidered in quantum field theory. In the framework of the quasi-potential…

High Energy Physics - Theory · Physics 2015-06-03 Nguyen Suan Han , Le Hai Yen , Nguyen Nhu Xuan

A brief overview is given of some recent advances in charged-composite particle scattering. On the theoretical side, I address the three-charged particle wave function asymptotics, the nonperturbative investigation of the long-range…

Nuclear Theory · Physics 2007-05-23 Erwin O. Alt

We demonstrate numerically that proton-proton (pp) scattering observables can be determined directly by standard short range methods using a screened pp Coulomb force without renormalization. In examples the appropriate screening radii are…

Nuclear Theory · Physics 2015-05-13 R. Skibinski , J. Golak , H. Witala , W. Glockle

We investigate the scattering phenomena in two dimensions produced by a general finite-range nonseparable potential. This situation can appear either in a Cartesian geometry or in a heterostructure with cylindrical symmetry. Increasing the…

Mesoscale and Nanoscale Physics · Physics 2010-09-03 P. N. Racec , E. R. Racec , H. Neidhardt

In the present work we systematically study the half--lives of proton radioactivity for spherical proton emitters with ${Z\ge 69}$ based on two--potential approach. While the nuclear potential of the emitted proton--daughter nucleus is…

Nuclear Theory · Physics 2021-11-24 Jiu-Long Chen , Xiao-Hua Li , Xi-Jun Wu , Peng-Cheng Chu , Biao He

A Woods-Saxon equivalent to a double folding potential in the surface region is obtained for the heavy-ion scattering potential. The Woods-Saxon potential has fixed geometry and was applied as a bare potential in the analysis of…

The Kohn variational principle is formulated for calculating elastic proton-deuteron scattering amplitudes at energies above the deuteron breakup threshold. The use of such a principle with an expansion of the wave function on the…

Nuclear Theory · Physics 2009-11-07 M. Viviani , A. Kievsky , S. Rosati

We undertake a simultaneous partial wave analysis to proton-proton and neutron-proton scattering data below pion production threshold up to LAB energies of 350MeV. We represent the interaction as a sum of delta-shells in configuration space…

Nuclear Theory · Physics 2013-08-14 R. Navarro Perez , J. E. Amaro , E. Ruiz Arriola

For the calculation of polarization transfer observables for quasielastic scattering of protons on nuclei, a formalism in the context of the Relativistic Plane Wave Impulse Approximation is developed, in which the interaction matrix is…

Nuclear Theory · Physics 2008-11-26 B. I. S. van der Ventel , G. C. Hillhouse , P. R. De Kock , S. J. Wallace

We employ the chiral nucleon-nucleon potential derived in ref.[1] to study bound and scattering states in the two-nucleon system. At next-to-leading order, this potential is the sum of renormalized one-pion and two-pion exchange and contact…

Nuclear Theory · Physics 2011-05-05 E. Epelbaum , W. Glöckle , Ulf-G. Meißner

We want to test the predictive power of Chiral Perturbation Theory (ChPT). In this work, we use the ChPT pion-pion scattering amplitude, including two loop contributions, and we obtain S- and P-wave low-energy phase shifts. We show that, by…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Sa Borges , J. Soares Barbosa , M. D. Tonasse , J. Haidenbauer

We estimate the two-photon exchange contribution to elastic electron-proton scattering at large momentum transfer through the scattering off a parton in the proton. We relate the process on the nucleon to the generalized parton…

High Energy Physics - Phenomenology · Physics 2009-09-11 Y. C. Chen , A. Afanasev , S. J. Brodsky , C. E. Carlson , M. Vanderhaeghen

We present a zero-range pseudopotential applicable for all partial wave interactions between neutral atoms. For p- and d-waves we derive effective pseudopotentials, which are useful for problems involving anisotropic external potentials.…

Quantum Physics · Physics 2009-11-11 Zbigniew Idziaszek , Tommaso Calarco

We calculate at two-loop order the complex-valued scattering amplitude related to the twice-iterated scalar-isovector boson-exchange between nucleons. In comparison to the once-iterated boson-exchange amplitude it shows less dependence on…

Nuclear Theory · Physics 2009-11-11 N. Kaiser

We revisit the question of the contributions of two-photon exchange with $\Delta(1232)$ excitation to the electron-proton scattering in a hadronic model. Three improvements over the previous calculations are made, namely, correct vertex…

Nuclear Theory · Physics 2015-09-21 Hai-Qing Zhou , Shin Nan Yang

The complex Kohn variational principle and the (correlated) hyperspherical harmonics method are applied to study the proton-deuteron elastic scattering at energies above the deuteron breakup threshold. Results for the elastic cross section…

Nuclear Theory · Physics 2009-10-31 A. Kievsky , S. Rosati , M. Viviani