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The present review is devoted to the problems of finite-size scaling due to the presence of long-range interaction decaying at large distance as $1/r^{d+\sigma}$, $\sigma>0$. The attention is focused mainly on the renormalization group…

Statistical Mechanics · Physics 2009-11-10 H. Chamati , N. S. Tonchev

In systems of ultracold atoms, pairwise interactions can be resonantly enhanced by a new mechanism which does not rely upon a magnetic Feshbach resonance. In this mechanism, interactions are controlled by tuning the frequency of an…

Quantum Gases · Physics 2015-10-14 D. H. Smith

We present results from large-scale shell-model calculations of even and odd tin isotopes from 134Sn to 142}Sn with a shell-model space defined by the 1f7/2,2p3/2,0h9/2,2p1/2,1f5/2,0i13/2 single-particle orbits. An effective two-body…

Nuclear Theory · Physics 2008-11-26 M. P. Kartamyshev , T. Engeland , M. Hjorth-Jensen , E. Osnes

Odd-odd nuclei around double shell closures are a direct source of information on the proton-neutron interaction between valence nucleons. We have performed shell-model calculations for doubly odd nuclei close to $^{208}$Pb, $^{132}$Sn and…

Nuclear Theory · Physics 2009-11-10 A. Covello , L. Coraggio , A. Gargano , N. Itaco

A model-independent treatment of dark-matter particle elastic scattering has been developed, yielding the most general interaction for WIMP-nucleon low-energy scattering, and the resulting amplitude has been embedded in the nucleus, taking…

Nuclear Theory · Physics 2014-05-27 Nikhil Anand , A. Liam Fitzpatrick , W. C. Haxton

The radial overlap correction, $\delta_{RO}$ is re-examined for 30 superallowed $\beta$ decays using the shell model with Hartree-Fock (HF) radial wave functions. Our calculation is based on the Skyrme interaction including Coulomb,…

Nuclear Theory · Physics 2022-04-20 Latsamy Xayavong , Nadezda Smirnova

We present a simple and physically compelling boundary condition regularization scheme in the framework of effective field theory as applied to nucleon-nucleon interaction. It is free of off-shell ambiguities and ultraviolet divergences and…

Nuclear Theory · Physics 2008-11-26 M. Pavon Valderrama , E. Ruiz Arriola

Nonstandard self-interactions can alter the evolution of cosmological neutrinos, mainly by damping free streaming, which should leave traces in cosmological observables. Although overall effects are opposite to those produced by neutrino…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-01 Jorge Venzor , Gabriela Garcia-Arroyo , Abdel Pérez-Lorenzana , Josue De-Santiago

Background: The $R$ matrix formalism of Lane and Thomas has proven to be a convenient reaction theory for solving many-coupled channel systems. The theory provides solutions to bound states, scattering states, and resonances for microscopic…

Nuclear Theory · Physics 2015-06-19 J. Grineviciute , Dean Halderson

A meson exchange model of the $\pi\pi$ interaction which fits free $\pi\pi$ scattering data is used to calculate the interactions of pions in nuclear matter as a function of nuclear density. Polarization of the nuclear medium by the pions…

Nuclear Theory · Physics 2009-10-30 R. Rapp , J. W. Durso , J. Wambach

Large-scale shell-model calculations are performed for the $9/2^+_{\rm g.s.}$, $1/2^-_1$, $3/2^-_1$, and $5/2^-_1$ states in the odd-$A$ indium isotopes with $N=50-82$. The calculated energy levels, electromagnetic moments, and…

Nuclear Theory · Physics 2025-06-04 Deepak Patel , Praveen C. Srivastava , Noritaka Shimizu , Yutaka Utsuno

Repulsion between individuals within a finite radius is encountered in numerous applications, including cell exclusion, i.e. avoidance of overlapping cells, bird flocks, or microscopic pedestrian models. We define such individual based…

Analysis of PDEs · Mathematics 2023-10-06 Michael Fischer , Laura Kanzler , Christian Schmeiser

Understanding how nuclear size evolves with the number of protons and neutrons tests our models of strongly interacting matter. The nuclear charge (and proton) radii accessible through electromagnetic probes carry fundamental information on…

Nuclear Theory · Physics 2026-03-20 A. J. Smith , K. Godbey , C. Hebborn , W. Nazarewicz , F. M. Nunes , P. -G. Reinhard

Yrast levels of Ni, Cu and Zn isotopes for $40 \leq N \leq50$ have been described by state-of-the-art shell model calculations with three recently available interactions using $^{56}$Ni as a core in the $f_{5/2}pg_{9/2}$ model space. The…

Nuclear Theory · Physics 2012-02-16 P. C. Srivastava , I. Mehrotra

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

We consider the proton and neutron quasiparticle orbits around the closed-shell 56Ni and 48Ca isotopes. It is found that large model spaces (beyond the capability of shell-model applications) are necessary for predicting the quenchings of…

Nuclear Theory · Physics 2009-12-07 C. Barbieri

The renormalisation of NN scattering in theories with zero-range interactions is examined using a cut-off regularisation and taking the cut-off to infinity. Inclusion of contact interactions that depend on energy as well as momentum allows…

High Energy Physics - Phenomenology · Physics 2007-05-23 Keith G. Richardson , Michael C. Birse , Judith A. McGovern

Recent observation of the 6$^+$ seniority isomers and measurements of the B${(E2)}$ values in the $^{134-138}$Sn isotopes lying close to the neutron drip line have raised some questions about the validity of the currently used effective…

Nuclear Theory · Physics 2015-03-03 Bhoomika Maheshwari , Ashok Kumar Jain , P. C. Srivastava

The increasing density of space objects in low-Earth orbit highlights the critical need for accurate orbit predictions to minimise operational disruptions. One significant challenge lies in accurately modelling the interaction of gas…

Earth and Planetary Astrophysics · Physics 2024-11-19 Sabin Viorel Anton , Bernardo Sousa Alves , Christian Siemes , Jose van den IJssel , Pieter N. A. M. Visser

We investigate how vector-isoscalar and vector-isovector interactions can be determined within the density regime of neutron stars (NSs), while fulfilling nuclear and astrophysics constrains. We make use of the Chiral Mean Field (CMF)…

Nuclear Theory · Physics 2024-09-04 Tuhin Malik , Veronica Dexheimer , Constança Providência