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Mirror symmetry is among the most fundamental concepts of physics and its spontaneous breaking at the molecular level allows chiral molecules to exist in two enantiomers that are mirror images of each other. The majority of chiro-optical…

Optics · Physics 2021-09-29 Alessandro Ciattoni

Differences in the charge radii of mirror nuclei have been recently suggested to contain information on the slope of the symmetry energy L. To test this hypothesis, we perform statistical correlation analysis using quantified energy density…

Nuclear Theory · Physics 2022-02-16 Paul-Gerhard Reinhard , Witold Nazarewicz

We show that a consequence of isospin symmetry, recently discovered in mirror conjugated one-nucleon decays, can be extended to mirror-conjugated $\alpha$-particles decays, both virtual and real. For virtual $\alpha$-decays of bound mirror…

Nuclear Theory · Physics 2007-05-23 N. K. Timofyeuk , P. Descouvemont , R. C. Johnson

It has recently been suggested that differences in the charge radii of mirror nuclei ($\Delta R^{\rm mirr}_{\rm ch}$) are strongly correlated with the neutron-skin thickness ($R_{\rm skin}$) of neutron-rich nuclei and with the slope of the…

Nuclear Theory · Physics 2024-09-02 Bai-Shan Hu

Charge-changing cross-sections of $^{11-16}$C, $^{13-17}$N and $^{15-18}$O on a carbon target have been determined at energies around 300 MeV/nucleon. A nucleon separation energy-dependent correction factor has been introduced to the…

Using a chiral unitary model in which the negative parity nucleon resonance $N^\ast \equiv N^\ast(1535)$ is generated dynamically by means of the Bethe Salpeter equation with coupled meson baryon channels in the $S = 0$ sector, we have…

Nuclear Theory · Physics 2009-10-31 J. C. Nacher , A. Parreno , E. Oset , A. Ramos , A. Hosaka , M. Oka

The standard way to demonstrate the relevance of chiral symmetry for the NN interaction is to consider higher partial waves of NN scattering which are controlled entirely by chiral pion-exchanges (since contacts vanish). However, in…

Nuclear Theory · Physics 2021-01-19 H. Alanazi , R. Machleidt

High precision measurements of isospin $T=1/2$ decays in the neutron and nuclei provide strong model-independent constraints on extensions to the standard model of particle physics. A measurement of the $\beta$-asymmetry in $^{19}$Ne decay…

Nuclear Experiment · Physics 2020-11-24 Dustin Combs , Gordon Jones , William Anderson , Frank Calaprice , Leendert Hayen , Albert Young

In the framework of a Chiral effective theory with dibaryon fields, we calculate the pion mass dependence of the inverse scattering length of the nucleon-nucleon system in the $^3S_1$ channel at order ${(m_\pi^3 / \Lambda_\chi^2)}\times…

Nuclear Theory · Physics 2013-05-30 Joan Soto , Jaume Tarrús

A correlation between the charge radii difference of mirror partner nuclei $\Delta{R_{\mathrm{ch}}}$ and the slope parameter $L$ of symmetry energy has been built to ascertain the equation of state of isospin asymmetric nuclear matter. In…

Nuclear Theory · Physics 2024-09-04 Xiao-Rong Ma , Shuai Sun , Rong An , Li-Gang Cao

We observe various robust linear correlations related to neutron skin thickness ($\Delta R_{\rm np}$) within different interaction ensembles, including newly proposed random Skyrme ensemble. The robust linear correlation between $\Delta…

Nuclear Theory · Physics 2025-03-19 Y. Lei , X. Lian , C. L. Bai

It has been recently suggested that differences in the charge radii of mirror nuclei are proportional to the neutron-skin thickness of neutron-rich nuclei and to the slope of the symmetry energy $L$ [B.A. Brown Phys. Rev. Lett. 119, 122502…

Nuclear Theory · Physics 2018-01-31 Junjie Yang , J. Piekarewicz

We construct an effective chiral Lagrangian for hadrons implemented by the conformal invariance and discuss the properties of nuclear matter at high density. The model is formulated based on two alternative assignment, "naive" and mirror,…

High Energy Physics - Phenomenology · Physics 2011-09-08 Chihiro Sasaki , Hyun Kyu Lee , Won-Gi Paeng , Mannque Rho

The correlation between the charge radii differences in mirror nuclei pairs and the neutron skin thickness has been studied with the so-called finite range simple effective interaction over a wide mass region. The so far precisely measured…

Nuclear Theory · Physics 2023-08-02 P. Bano , S. P. Pattnaik , M. Centelles , X. Viñas , T. R. Routray

The structure of N(1535) is discussed in dynamical and symmetry aspects based on chiral symmetry. We find that the N(1535) in chiral unitary model has implicitly some components other than meson-baryon one. We also discuss the N(1535) in…

Nuclear Theory · Physics 2008-11-26 Daisuke Jido , Tetsuo Hyodo , Atsushi Hosaka

Neutron scattering is a well-established tool for the investigation of the static and dynamic properties of condensed matter systems over a wide range of spatial and temporal scales. Many studies of high interest, however, can only be…

Instrumentation and Detectors · Physics 2022-08-10 Christoph Herb , Oliver Zimmer , Robert Georgii , Peter Böni

We assume that the nuclear potential for distances larger than 2.5 fm is given just by the exchanges of one and two pions and, for the latter, we adopt a model based on chiral symmetry and subthreshold pion-nucleon amplitudes, which…

Nuclear Theory · Physics 2008-11-26 Jean-Louis Ballot , Manoel R. Robilotta , Carlos A. da Rocha

If a baryon field belongs to a certain linear representation of chiral symmetry of $SU(2) \otimes SU(2)$, the axial coupling constant $g_{A}$ can be determined algebraically from the commutation relations derived from the superconvergence…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Hosaka , D. Jido , M. Oka

We present a new chiral expansion scheme for the nucleon-nucleon scattering amplitude which preserves unitarity exactly. Our effective field theory builds on the power counting rules for 2-nucleon reducible diagrams proposed in \cite{lutz}.…

Nuclear Theory · Physics 2010-12-16 M. Lutz

We enforce chiral Ward identities on the vertices of the linear sigma model to take into account the width of the scalar sigma, considered as a true physical resonance. We consider pion scattering at very low energies and, from a fit to the…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. L. Lucio , M. Napsuciale , M. Ruiz-Altaba