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We investigate the behaviour of the nuclear forces as a function of the light quark masses (or, equivalently, pion mass) in the framework of chiral effective field theory at next-to-leading order. The nucleon-nucleon force is described in…

Nuclear Theory · Physics 2011-07-18 Evgeny Epelbaum , Ulf-G. Meißner , Walter Glöckle

The nucleon-nucleon interaction is constructed by means of the $J$-matrix version of inverse scattering theory. Ambiguities of the interaction are eliminated by postulating tridiagonal and quasi-tridiagonal forms of the potential matrix in…

Nuclear Theory · Physics 2009-11-10 A. M. Shirokov , A. I. Mazur , S. A. Zaytsev , J. P. Vary , T. A. Weber

With the aim at quantitatively investigating the longstanding problem concerning the effect of short range nucleon-nucleon correlations on scattering processes at high energies, the total neutron-nucleus cross section is calculated within a…

Nuclear Theory · Physics 2008-11-26 M. Alvioli , C. Ciofi degli Atti , I. Marchino , V. Palli , H. Morita

Scattering lengths for two pseudoscalar meson systems, $\pi\pi(I=2)$, $KK(I=1)$ and $\pi K(I=3/2,\ 1/2)$, are calculated from lattice QCD by using the finite size formula. We perform the calculation with $N_f=2+1$ gauge configurations…

High Energy Physics - Lattice · Physics 2021-12-16 Kiyoshi Sasaki , Naruhito Ishizuka , Makoto Oka , Takeshi Yamazaki

We explore the quark-mass dependence of two-nucleon systems. Allowed regions for the scattering lengths in the 1S0 and 3S1 channels as functions of the light-quark masses are determined from the current uncertainty in strong-interaction…

Nuclear Theory · Physics 2009-11-07 Silas R. Beane , Martin J. Savage

A simple and model-independent method is described to derive neutron single-particle spectroscopic factors of bound s-wave states in $^{A+1}Z = ^{A}Z \otimes n$ nuclei from neutron scattering lengths. Spectroscopic factors for the nuclei…

Nuclear Theory · Physics 2016-09-08 P. Mohr , H. Herndl , H. Oberhummer

In this work the elastic scattering of two nucleons is calculated in chiral effective field theory at next-to-leading order taking into account the coupled N$\Delta$-, $\Delta$N- and $\Delta\Delta$-channels. To solve the coupled channel…

Nuclear Theory · Physics 2020-08-28 Susanne Strohmeier , Norbert Kaiser

We quantify the posterior predictive distributions (PPDs) of elastic neutron-deuteron ($nd$) scattering cross sections using nucleon-nucleon ($NN$) interactions from chiral effective field theory ($\chi$EFT) up to and including…

Nuclear Theory · Physics 2023-02-08 Sean B. S. Miller , Andreas Ekström , Christian Forssén

We present quantum Monte Carlo calculations of light nuclei, neutron-$\alpha$ scattering, and neutron matter using local two- and three-nucleon ($3N$) interactions derived from chiral effective field theory up to next-to-next-to-leading…

Nuclear Theory · Physics 2016-02-18 J. E. Lynn , I. Tews , J. Carlson , S. Gandolfi , A. Gezerlis , K. E. Schmidt , A. Schwenk

Distorted-wave methods are used to remove the effects of one- and two-pion exchange up to order Q^3 from the empirical 1P1 phase shift. The one divergence that arises can be renormalised using an order-Q^2 counterterm which is provided by…

Nuclear Theory · Physics 2011-02-28 K. L. Ipson , K. Helmke , M. C. Birse

Studies on hadron interactions from lattice QCD are reviewed. The $S$-wave $\pi\pi$ scattering lengths of the I=0 and I=2 channels are extracted from various lattice determinations of low energy constants in $N_f=2$ chiral perturbation…

High Energy Physics - Lattice · Physics 2009-04-14 Sinya Aoki

We calculate the correlation functions needed to describe the linear response of superfluid matter, and go on to calculate the differential cross section for neutral-current neutrino scattering in superfluid neutron matter and in…

Nuclear Theory · Physics 2009-11-10 Joydip Kundu , Sanjay Reddy

Calculations are presented for incoherent $J/\psi$ electroproduction from the deuteron at JLab energies, including the effects of $J/\psi$-nucleon rescattering in the final state, in order to determine the feasibility of measuring the…

Nuclear Theory · Physics 2013-08-09 Gary T. Howell , Gerald A. Miller

We give the comparisons between the chiral SU(3) quark model and the extended chiral SU(3) quark model. The results show that the phase shifts of NN scattering are very similar. However, the short range mechanisms of nucleon-nucleon…

Nuclear Theory · Physics 2009-11-10 L. R. Dai , Z. Y. Zhang , Y. W. Yu

Using the two-body interactions obtained from a chiral constituent quark model we study all $\Lambda NN$ and $\Sigma NN$ states with I=0,1,2 and J=1/2,3/2 at threshold, taking into account all three-body configurations with S and D wave…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Garcilazo , A. Valcarce , T. Fernandez-Carames

The recently developed chiral nucleon-nucleon ($NN$) potential by Epelbaum \emph{et al.} has been employed to study the two-nucleon bound and scattering states. Chiral $NN$ potential up to next-to-next-to-next-to leading order (N$^3$LO) is…

Nuclear Theory · Physics 2009-06-30 S. Bayegan , M. A. Shalchi , M. R. Hadizadeh

General analytical expressions for the observables in $dA$-scattering reaction have been derived in the diffraction approximation. The resulting formulas describe the cross section and polarization states of the deuteron when it scattering…

Nuclear Theory · Physics 2024-02-29 Valery I. Kovalchuk

Neutron-deuteron elastic scattering cross sections are calculated at different energies using modern nucleon-nucleon interactions and the Tucson-Melbourne three-nucleon force adjusted to the triton binding energy. Predictions based on NN…

Nuclear Theory · Physics 2009-10-31 H. Witala , W. Gloeckle , D. Hueber , J. Golak , H. Kamada

It is demonstrated that both elastic and inelastic $NN$ scattering at laboratory energies up to 600--800 MeV, at least in some partial waves characterized by a large inelasticity, can be described by a superposition of the conventional…

Nuclear Theory · Physics 2019-05-22 V. I. Kukulin , V. N. Pomerantsev , O. A. Rubtsova , M. N. Platonova

A basic prediction of the statistical model of compound nucleus reactions is that the partial widths for decay into any open channel channel fluctuate according to the Porter-Thomas distribution (PTD). A recent experiment on $s$- and…

Nuclear Theory · Physics 2018-11-06 P. Fanto , G. F. Bertsch , Y. Alhassid