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The standard approach to nuclear physics encodes phase shift information in an NN potential, then decodes that information in forming an effective interaction, appropriate to a low-momentum Hilbert space. Here we show that it is instead…

Nuclear Theory · Physics 2016-08-30 Kenneth S. McElvain , W. C. Haxton

Nucleon-nucleon potentials evolved to low momentum, which show great promise in few- and many-body calculations, have generally been formulated with a sharp cutoff on relative momenta. However, a sharp cutoff has technical disadvantages and…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , R. J. Furnstahl , S. Ramanan , A. Schwenk

Decoupling via the Similarity Renormalization Group (SRG) of low-energy nuclear physics from high-energy details of the nucleon-nucleon interaction is examined for two-body observables and few-body binding energies. The universal nature of…

Nuclear Theory · Physics 2008-11-26 E. D. Jurgenson , S. K. Bogner , R. J. Furnstahl , R. J. Perry

We use a combination of effective field theory and the renormalization group to determine the impact of radiative corrections on the nucleon-nucleon potential and the binding energy of the deuteron. In order to do so, we present a modified…

Nuclear Theory · Physics 2024-08-12 Thomas R. Richardson , Immo C. Reis

We provide evidence for a high precision model-independent low momentum nucleon-nucleon interaction. Performing a momentum-space renormalization group decimation, we find that the effective interactions constructed from various high…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , T. T. S. Kuo , A. Schwenk , D. R. Entem , R. Machleidt

The traditional approach to nuclear physics encodes phase shift information in a nucleon-nucleon (NN) potential, producing a nucleon-level interaction that captures the sub-GeV consequences of QCD. A further reduction to the nuclear scale…

Nuclear Theory · Physics 2019-09-04 K. S. McElvain , W. C. Haxton

We present a first exploratory study for hyperon-nucleon interactions using renormalization group techniques. The effective two-body low-momentum potential V_low-k is obtained by integrating out the high-momentum components from realistic…

Nuclear Theory · Physics 2009-11-11 B. -J. Schaefer , M. Wagner , J. Wambach , T. T. S. Kuo , G. E. Brown

Regularization and renormalization is discussed in the context of low-energy effective field theory treatments of two or more heavy particles (such as nucleons). It is desirable to regulate the contact interactions from the outset by…

Nuclear Theory · Physics 2008-11-26 Thomas D. Cohen

Low momentum two-nucleon interactions obtained with the renormalization group method and the similarity renormalization group method are used to study the cutoff dependence of low energy 3N and 4N scattering observables. The residual cutoff…

Nuclear Theory · Physics 2008-11-26 A. Deltuva , A. C. Fonseca , S. K. Bogner

A recent paper [S. Ohkubo, Phys. Rev. C 95, 044002 (2017)] found that the measured 1S0 phase shifts can be reproduced using a deeply attractive nucleon-nucleon potential. We find that the deuteron would decay strongly via pion emission to…

Nuclear Theory · Physics 2018-05-09 Gerald A. Miller

The antiproton-deuteron atoms are studied in models of various realistic, popular nucleon-antinucleon potentials. The small energy shifts and decay widths of the atoms, which stem from the short-ranged strong interactions between the…

Atomic Physics · Physics 2008-02-04 Y. Yan , K. Khosonthongkee , C. Kobdaj , P. Suebka

Equivalent interactions in a low-momentum space for the $\Lambda N$, $\Sigma N$ and $\Xi N$ interactions are calculated, using the SU$_6$ quark model potential as well as the Nijmegen OBEP model as the input bare interaction. Because the…

Nuclear Theory · Physics 2008-11-26 M. Kohno , R. Okamoto , H. Kamada , Y. Fujiwara

Radiative corrections are playing an increasingly significant role in low-energy nuclear physics. We investigate the influence of photons as explicit degrees of freedom within nuclear EFT on the deuteron binding energy, charge form factor,…

Nuclear Theory · Physics 2025-03-18 Immo C. Reis

The Nucleon-Nucleon One Meson Exchange Potential, its wave functions and related Meson Exchange Currents are analyzed for point-like nucleons. The leading Nc contributions generate a local and energy independent potential which presents…

Nuclear Theory · Physics 2015-05-19 A. Calle Cordon , E. Ruiz Arriola

The role of radiative corrections in low energy nuclear physics is beginning to receive more scrutiny. We examine the impact of these corrections for the deuteron charge form factor and the radiative capture process $np \to d \gamma$…

Nuclear Theory · Physics 2025-07-25 Thomas R. Richardson , Immo C. Reis

We present detailed results for the model-independent low momentum nucleon-nucleon interaction V_{low k}. By introducing a cutoff in momentum space, we separate the Hilbert space into a low momentum and a high momentum part. The…

Nuclear Theory · Physics 2008-11-26 S. K. Bogner , T. T. S. Kuo , A. Schwenk

The nonperturbative nature of inter-nucleon interactions is explored by varying the momentum cutoff of a two-nucleon potential. Conventional force models, which have large cutoffs, are nonperturbative because of strong short-range…

Nuclear Theory · Physics 2009-11-11 S. K. Bogner , A. Schwenk , R. J. Furnstahl , A. Nogga

The nucleon-nucleon ($NN$) potential is the residual interaction of the strong interaction in the low-energy region and is also the fundamental input to the study of atomic nuclei. Based on the non-perturbative properties of the quantum…

Nuclear Theory · Physics 2024-10-02 Ke Nan , Jinniu Hu , Hong Shen , Ying Zhang

Different modern phase shift equivalent NN potentials are tested by evaluating the partial wave decomposition of the kinetic and potential energy of the deuteron. Significant differences are found, which are traced back to the matrix…

Nuclear Theory · Physics 2009-10-30 A. Polls , H. Müther , R. Machleidt , M. Hjorth-Jensen

We report on investigations of the applicability of non-relativistic constituent quark models to the low-energy nucleon-nucleon (NN) interaction. The major innovations of a resulting NN potential are the use of the $^3$P$_0$ decay model and…

Nuclear Theory · Physics 2015-05-18 Clark Downum , Jirina Stone , Ted Barnes , Eric Swanson , Isaac Vidana
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