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The short-distance production of multi-particle states in high-energy nuclear reactions provides a unique way to study the low-energy properties of few-body systems. In particular, the production amplitude of multi-neutron systems is…

A recent experiment on s-wave neutron scattering from $^{192,194,196}$Pt found that the reduced neutron width distributions deviate significantly from the expected Porter-Thomas distribution (PTD), and several explanations have been…

Nuclear Theory · Physics 2018-07-11 P. Fanto , G. F. Bertsch , Y. Alhassid

Constraints for the constants of hypothetical Yukawa-type corrections to the Newtonian gravitational potential are obtained from analysis of neutron scattering experiments. Restrictions are obtained for the interaction range between…

High Energy Physics - Phenomenology · Physics 2009-11-11 Yu. N. Pokotilovski

The large values of the singlet and triplet two-nucleon scattering lengths locate the nuclear system close to the unitary limit. This particular position strongly constrains the low-energy observables in the three-nucleon system as…

Nuclear Theory · Physics 2018-08-22 A. Kievsky , M. Viviani , D. Logoteta , I. Bombaci , L. Girlanda

Due to an accidentally large $s$-wave scattering length, in a relatively wide range of energy, neutrons are approximately described by the nonrelativistic conformal field theory of unitarity fermions, perturbed by one relevant and an…

High Energy Physics - Theory · Physics 2024-01-12 Subham Dutta Chowdhury , Ruchira Mishra , Dam Thanh Son

We employ the chiral nucleon-nucleon potential derived using the method of unitary transformation up to next-to-next-to-leading order (NNLO) to study bound and scattering states in the two-nucleon system. The predicted partial wave phase…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Gloeckle , Ulf-G. Meissner

The understanding of few-nucleon systems at low energies is essential, e.g. for accurate predictions of element abundances in big-bang and stellar fusion. Novel effective field theories, taking only nucleons, or nucleons and pions as…

Nuclear Experiment · Physics 2009-11-10 B. van den Brandt , H. W. Griesshammer , P. Hautle , J. Kohlbrecher , J. A. Konter , O. Zimmer

Unitarity is a fundamental property of any theory required to ensure we work in a theoretically consistent framework. In comparison with the quark sector, experimental tests of unitarity for the 3x3 neutrino mixing matrix are considerably…

High Energy Physics - Phenomenology · Physics 2016-06-22 Stephen Parke , Mark Ross-Lonergan

We study systems of finite-number neutrons in a harmonic trap at the unitary limit. Two very different types of neutron-neutron interactions are applied, namely, the meson-theoretic CD-Bonn potential and hard-core square-well interactions,…

Nuclear Theory · Physics 2019-09-04 Yi-Yuan Cheng , Thomas T. S. Kuo , Ruprecht Machleidt , Yu-Min Zhao

Thanks to J.~Schwinger, the process of elastic scattering of neutrons by nuclei is known to depend on the interference between a nuclear amplitude and an electromagnetic one for small scattering angles, resulting in spin asymmetries of a…

Nuclear Theory · Physics 2019-12-04 Andrei V. Afanasev , D. V. Karlovets , V. G. Serbo

Unitarity relates the total cross section for neutrino-nucleon scattering to the neutrino-nucleon forward scattering amplitude. Assuming the validity of the perturbative expansion of the forward amplitude in the {\em weak} coupling…

High Energy Physics - Phenomenology · Physics 2009-11-07 Duane A. Dicus , Stefan Kretzer , Wayne W. Repko , Carl Schmidt

Parity violating electron nucleus scattering is a clean and powerful tool for measuring the spatial distributions of neutrons in nuclei with unprecedented accuracy. Parity violation arises from the interference of electromagnetic and weak…

Nuclear Theory · Physics 2007-05-23 C. J. Horowitz

The influence of the mass difference between the charged and neutral pions on the low-energy characteristics of nucleon-nucleon interaction in the $^{1}S_{0}$ spin-singlet state is studied within the framework of the effective-range…

Nuclear Theory · Physics 2016-05-25 V. A. Babenko , N. M. Petrov

The effective field theory approach is applied to the three-nucleon process of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the…

Nuclear Theory · Physics 2007-05-23 F. Gabbiani

We present preliminary results on sensitivity of experiments with slow neutrons to constrain additional forces in a wide distance range: from picometers to micrometers. In the sub-nanometer range, available data on lengths of neutron…

Nuclear Experiment · Physics 2007-06-01 V. V. Nesvizhevsky , G. Pignol , K. V. Protasov

Positivity constraints are derived on pion-nucleon scattering amplitudes and their even-order derivatives inside the Mandelstam Triangle with the help of dispersion relations. Fairly interesting constraints are obtained on some of the low…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mingxing Luo , Yong Wang , Guohuai Zhu

Strange quark contributions to neutrino(antineutrino) scattering are investigated on the nucleon level in the quasi-elastic region. The incident energy range between 500 MeV and 1.0 GeV is used for the scattering. All of the physical…

Nuclear Theory · Physics 2008-11-26 Myung-Ki Cheoun , K. S. Kim

We consider the constraints of causality and unitarity for the low-energy interactions of protons and neutrons. We derive a general theorem that non-vanishing partial-wave mixing cannot be reproduced with zero-range interactions without…

Nuclear Theory · Physics 2015-06-05 Serdar Elhatisari , Dean Lee

We discuss the main limitations of past neutrino scattering experiments and possible ways to address them in a next-generation program of precision measurements of fundamental interactions with (anti)neutrinos. A reduction of the…

High Energy Physics - Experiment · Physics 2019-10-15 R. Petti

Near threshold pion production experiments have been recently carried out and used to extract S--wave $\pi\pi$ scattering lengths. We emphasize here that at present these processes are related only at the tree level (and its first…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. G. Olsson , Ulf-G. Meißner , N. Kaiser , V. Bernard