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Related papers: Dimer scattering in the epsilon expansion

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Using the effective-range expansion for the two-body amplitudes may generate spurious sub-threshold poles outside of the convergence range of the expansion. In the infinite volume, the emergence of such poles leads to the breakdown of…

Nuclear Theory · Physics 2023-08-21 M. Ebert , H. -W. Hammer , A. Rusetsky

Self-avoiding polymers in two-dimensional ($d=2$) melts are known to adopt compact configurations of typical size $R(N) \sim N^{1/d}$ with $N$ being the chain length. Using molecular dynamics simulations we show that the irregular shapes of…

Soft Condensed Matter · Physics 2009-05-08 H. Meyer , T. Kreer , M. Aichele , A. Cavallo , A. Johner , J. Baschnagel , J. P. Wittmer

Pendell\"{o}sung interference fringes of a single silicon crystal were observed by using pulsed cold neutrons. The nuclear scattering length of silicon was obtained as (4.159\pm0.003(stat.)\pm0.028(syst.)) fm using the observed…

Nuclear Experiment · Physics 2018-05-21 Shigeyasu Itoh , Masaya Nakaji , Yuya Uchida , Masaaki Kitaguchi , Hirohiko M. Shimizu

A general expression for the $\pi -N$ and $\pi-\Delta $ scattering lengths is derived in the framework of a microscopic calculation. Annihilation, negative energy wave-functions and spontaneous chiral symmetry are included consistently. The…

Nuclear Theory · Physics 2009-11-07 Pedro Bicudo , Manuel Faria , Gonçalo Marques , J. Emilio Ribeiro

The interaction of neutrons and nuclei at low energies may potentially lead to scattering lengths several orders of magnitude larger than the effective range of the interaction, well beyond the nuclear scale. If such cases existed, they…

Nuclear Theory · Physics 2026-04-16 F. Miguel Marqués

Liquid deuterium is a fluid between the quantum and classical regimes. It attracts interest from fundamental research for the verification of quantum calculations but also from neutron physics as it is a widely used neutron moderator…

Nuclear Experiment · Physics 2023-04-04 Stefan Döge , Jürgen Hingerl , Winfried Petry , Christoph Morkel

The pi- d atom strong energy-level shift in the 1s state is derived by using the effective field theory. Taking into account the large value of radius of pionic deuterium and short radius of strong interaction between pion and deuteron we…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. F. Irgaziev , B. A. Fayzullaev

Efimov physics refers to universal phenomena associated with a discrete scaling symmetry in the 3-body problem with a large scattering length. The first experimental evidence for Efimov physics was the recent observation of a resonant peak…

Other Condensed Matter · Physics 2009-03-13 Eric Braaten , H. -W. Hammer

We perform a combined analysis of antikaon-nucleon scattering cross sections and the recent SIDDHARTA kaonic hydrogen data in the framework of a coupled-channel Bethe-Salpeter approach at next-to-leading order in the chiral expansion of the…

Nuclear Theory · Physics 2013-03-11 Maxim Mai , Ulf-G. Meißner

We evaluate $I=2$ two-pion scattering length through the scattering amplitude obtained by the Bethe-Salpeter wave function inside the interaction range. The scattering length is computed with $m_\pi = 0.52-0.86$ GeV in the quenched lattice…

High Energy Physics - Lattice · Physics 2019-01-01 Y. Namekawa , T. Yamazaki

$^{1}S_{0}$ \textit{nn}-scattering length has been measured in the \textit{nd}-breakup reaction at 60 MeV. The experiment was performed in the final state interaction geometry with registration of all three secondary particles. The…

Deuteron-deuteron elastic scattering and transfer reactions in the energy regime above four-nucleon breakup threshold are described by solving exact four-particle equations for transition operators. Several realistic nuclear interaction…

Nuclear Theory · Physics 2015-02-09 A. Deltuva , A. C. Fonseca

Cold atom traps and certain neutron star layers may contain fermions with separation much larger than the range of pair-wise potentials yet much shorter than the scattering length. Such systems can display {\em universal} characteristics…

Strongly Correlated Electrons · Physics 2007-05-23 Zohar Nussinov , Shmuel Nussinov

We study the behavior of energy levels in two dimensions for exotic atoms, i.e., when a long-range attractive potential is supplemented by a short-range interaction, and compare the results with these of the one- and three-dimensional…

Atomic Physics · Physics 2011-05-12 Combescure Monique , Fayard Claude , Khare Avinash , Richard Jean-Marc

Spectral densities are calculated for the dimerized and frustrated S=1/2 chain using the method of continuous unitary transformations (CUTs). The transformation to an effective triplon model is realized in a perturbative fashion up to high…

Strongly Correlated Electrons · Physics 2009-11-10 Kai P. Schmidt , Christian Knetter , Götz S. Uhrig

The empirical value of the real part of the pion-deuteron scattering length can be well understood in terms of the dominant isovector $\pi N$-double scattering contribution. We calculate in chiral perturbation theory all one-pion loop…

Nuclear Theory · Physics 2009-11-07 N. Kaiser

The QCD sum rule method is applied to derive a formula for the rho, omega, phi meson-nucleon spin-isospin-averaged scattering lengths $a_{\rho,\omega,\phi}$. We found that the crucial matrix elements are $\langle\bar{q}\gamma_\mu D_\nu…

High Energy Physics - Phenomenology · Physics 2008-11-26 Y. Koike

Under the framework of Vector Meson Dominance model, the value of scattering length can be expressed as a function of the ratio between total cross section $\sigma (W)$ and $R (W)$, where $R(W)$ is the ratio between final momentum $|{\bf…

High Energy Physics - Phenomenology · Physics 2022-07-20 Xiao-Yun Wang , Fancong Zeng , Igor I. Strakovsky

Starting from a recent model where the Kbar N amplitudes are evaluated from the chiral Lagrangians using a coupled channel unitary method, we evaluate here the scattering length for K^- deuteron scattering. We find that the double…

Nuclear Theory · Physics 2009-11-06 S. S. Kamalov , E. Oset , A. Ramos

Radiative capture of the K-minus by the deuteron as a reaction for measurement of the Lambda-neutron scattering lengths. The use of spin information to separate the singlet and triplet scattering lengths is treated.

Nuclear Theory · Physics 2009-11-06 W. R. Gibbs , S. A. Coon , H. K. Han , B. F. Gibson