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The general equation from previous work is specialized to a linear potential $V(r)=-a+F r$ acting in the space of spherically symmetric S wave functions. The fine and hyperfine interaction creates then a $\frac1r$-dependence in the…

High Energy Physics - Phenomenology · Physics 2016-08-16 Hans-Christian Pauli

We show that it is possible to model two-body resonant interactions at low energy with a class of finite-range potentials based on the methods of Jost and Kohn. These potentials are expressed in terms of the effective range $r_0$ and the…

Quantum Physics · Physics 2016-09-12 Bimalendu Deb

It is well-known that the magnetic Feshbach resonances of cold atoms are sensitive to the magnitude of the external magnetic field. Much less attention has been paid to the direction of such a field. In this work we calculate the scattering…

Quantum Gases · Physics 2014-06-25 Shi-Guo Peng , Shina Tan , Kaijun Jiang

Faddeev calculations of low-energy $\Lambda$-deuteron elastic scattering are performed up to $E_{cm}=20$ MeV across the deuteron threshold. Phase shifts of the $s$-wave with $J=1/2$ and $J=3/2$ are calculated using strangeness $S=-1$…

Nuclear Theory · Physics 2024-10-22 M. Kohno , H. Kamada

For a given many-electron molecule, it is possible to define a corresponding one-electron Schr\"odinger equation, using potentials derived from simple atomic densities, whose solution predicts fairly accurate molecular orbitals for single-…

Chemical Physics · Physics 2022-05-16 Fariba Nazari , Jerry L. Whitten

Contact $P$-wave interactions connected to the Larmor interaction of a magnetic dipole and Thomas spin precession in the filed of an electric quadrupole are described and their implications for spectroscopy of exotic $\Omega^{-}$-atoms are…

Nuclear Theory · Physics 2008-11-26 M. I. Krivoruchenko , Amand Faessler

An analysis of the Lambda and Sigma single-particle potentials is presented, based on YN interactions derived within chiral effective field theory up to next-to-next-to-leading order (N$^2$LO). The self-consistent Brueckner-Hartree-Fock…

Nuclear Theory · Physics 2026-02-05 Asanosuke Jinno , Johann Haidenbauer , Ulf-G. Meißner

We present the contribution from potential interactions to the dynamics of non-spinning binaries to fourth Post-Minkowskian (4PM) order. This is achieved by computing the scattering angle to ${\cal O}(G^4)$ using the effective field theory…

High Energy Physics - Theory · Physics 2022-06-01 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We complement recent advances in the calculation of the masses of excited baryons in quenched lattice QCD with finite-range regulated chiral effective field theory enabling contact with the physical quark mass region. We examine the P-wave…

Nuclear Theory · Physics 2007-05-23 D. Morel , B. Crouch , D. B. Leinweber , A. W. Thomas

We study the baryon-baryon interactions with strangeness $S = -2$ and corresponding momentum correlation functions in leading order covariant chiral effective field theory. The relevant low energy constants are determined by fitting to the…

High Energy Physics - Phenomenology · Physics 2023-01-25 Zhi-Wei Liu , Kai-Wen Li , Li-Sheng Geng

Recently the HAL QCD Collaboration reported the $\Omega-\Omega$ and $N-\Omega$ interaction potentials by the lattice QCD simulations. Based on these results, $N\Omega$ ($^5S_2$) and $\Omega\Omega$ ($^1S_0$) bound states were predicted with…

High Energy Physics - Phenomenology · Physics 2020-12-02 S. Zhang , Y. G. Ma

The study of the strength and behaviour of the antikaon-nucleon ($\mathrm{\overline{K}N}$) interaction constitutes one of the key focuses of the strangeness sector in low-energy Quantum Chromodynamics (QCD). In this letter a unique…

Nuclear Experiment · Physics 2020-06-17 ALICE Collaboration

In lattice QCD, both direct method and HAL QCD method are used to investigate the two-baryon systems. We show that due to the contamination of the scattering excited states, it is challenging to measure the eigenenergy from the temporal…

High Energy Physics - Lattice · Physics 2018-11-16 Takumi Iritani , for HAL QCD Collaboration

Transformation of the conventional radial Schr\"odinger equation defined on the interval $\,r\in[0,\infty)$ into an equivalent form defined on the finite domain $\,y(r)\in [a,b]\,$ allows the s-wave scattering length $a_s$ to be exactly…

Atomic Physics · Physics 2015-05-30 Vladimir V. Meshkov , Andrey V. Stolyarov , Robert J. Le Roy

For a given many-electron molecule, it is possible to define a corresponding one-electron Schr\"odinger equation, using potentials derived from simple atomic densities, whose solution predicts fairly accurate molecular orbitals for single-…

Chemical Physics · Physics 2022-05-16 Jerry L. Whitten

Schrodinger equation with two-component wave function which describes a relativistic spin 1/2 particle in a weak electromagnetic field is obtained. In the same approximation Schrodinger equation with traditional norm condition and…

High Energy Physics - Theory · Physics 2007-05-23 L. F. Blazhyjevskii , A. Y. Marko

We treat low-energy $^3$He-$\alpha$ elastic scattering in an Effective Field Theory (EFT) that exploits the separation of scales in this reaction. We compute the amplitude up to Next-to-Next-to-Leading Order (NNLO), developing a hierarchy…

Nuclear Theory · Physics 2022-07-06 Maheshwor Poudel , Daniel R. Phillips

A lepton-neutron potential in configuration space is obtained. It is based on the Coulomb plus hyperfine interaction Hamiltonian integrated over the neutron charge and magnetic densities. Different parametrisations of the neutron…

High Energy Physics - Phenomenology · Physics 2024-05-07 Jaume Carbonell , Tobias Frederico

Progress in computing various meson-baryon scattering amplitudes is presented on a single ensemble from the Coordinated Lattice Simulations (CLS) consortium with $m_\pi=200$ MeV and $N_f=2+1$ dynamical fermions. The finite-volume L\"uscher…

High Energy Physics - Lattice · Physics 2021-11-16 Colin Morningstar , John Bulava , Andrew D. Hanlon , Ben Hörz , Daniel Mohler , Amy Nicholson , Sarah Skinner , André Walker-Loud

A formalism for treating the scattering of decuplet baryons in chiral effective field theory is developed. The minimal Lagrangian and potentials in leading-order SU(3) chiral effective field theory for the interactions of octet baryons…

Nuclear Theory · Physics 2017-12-06 J. Haidenbauer , S. Petschauer , N. Kaiser , Ulf-G. Meißner , W. Weise