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The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are…

Nuclear Theory · Physics 2014-11-21 Thomas Luu , Martin Savage , Achim Schwenk , James P. Vary

Formation of eta-mesic nucleus, a bound state of an eta meson in a nucleus, is reviewed in this paper. Three different theoretical approaches are used to calculate the binding energies and widths of such nuclei. The effect of eta-mesic…

Nuclear Theory · Physics 2009-06-12 Q. Haider , L. C. Liu

The large values of the singlet and triplet scattering lengths locate the two-nucleon system close to the unitary limit, the limit in which these two values diverge. As a consequence, the system shows a continuous scale invariance which…

Nuclear Theory · Physics 2019-10-09 Mario Gattobigio , Alejandro Kievsky , Michele Viviani

We demonstrate that one can use the occurrence of charge symmetry breaking as a tool to explore the eta--nucleus interaction near the eta threshold. Based on indications that the cross section ratio of pi+ and pi0 production on nuclei…

Nuclear Theory · Physics 2009-11-10 V. Baru , J. Haidenbauer , C. Hanhart , J. A. Niskanen

There exists a simple relationship between a quantum-mechanical bound-state wave function and that of nearby scattering states, when the scattering energy is extrapolated to that of the bound state. This relationship is demonstrated…

Quantum Physics · Physics 2009-10-30 Goeran Faeldt , Colin Wilkin

We calculate the binding energy of two atoms interacting near a Feshbach resonance in the presence of a 1D periodic potential. The critical value of the scattering length needed to produce a molecule as well as the value of the molecular…

Soft Condensed Matter · Physics 2009-11-11 G. Orso , L. P. Pitaevskii , S. Stringari , M. Wouters

We present an analytic model to calculate the atomic scattering length near a Feshbach resonance from data on the molecular binding energy. Our approach considers finite-range square-well potentials and can be applied near broad, narrow, or…

Other Condensed Matter · Physics 2009-11-13 A. D. Lange , K. Pilch , A. Prantner , F. Ferlaino , B. Engeser , H. -C. Naegerl , R. Grimm , C. Chin

Possible existence of $(c\bar{c})-$nucleus bound states are examined. We adopt Gaussian potentials for the $\eta_{c}-N$ and $J/\psi-N$ interactions. The relations between the scattering lengths $a$ of $(c\bar{c})-N$ interactions and the…

Nuclear Theory · Physics 2013-11-14 Akira Yokota , Emiko Hiyama , Makoto Oka

We evaluate for the first time the $\eta^\prime p$ femtoscopic correlation function to study the $\eta^\prime N$ interaction. We find it extremely sensitive to the value of the $\eta^\prime p$ scattering length, for which at present there…

Nuclear Theory · Physics 2025-11-18 Natsumi Ikeno

We propose a framework for calculating scattering and bound state properties in anisotropic two-dimensional potentials. Using our method, we derive systematic approximations of partial wave phase shifts and binding energies. Moreover, the…

Quantum Gases · Physics 2012-01-31 Matthias Rosenkranz , Weizhu Bao

The energies and widths of bound states of the $\eta$ meson in different nuclei are obtained using the results for its selfenergy in a nuclear medium, which is evaluated in a selfconsistent manner using techniques of unitarized chiral…

Nuclear Theory · Physics 2014-11-18 C. Garcia -Recio , J. Nieves , T. Inoue , E. Oset

In this contribution we report on theoretical studies of $\eta$ nuclear quasi-bound states in few- and many-body systems performed recently by the Jerusalem-Prague Collaboration [1-5]. Underlying energy-dependent $\eta N$ interactions are…

Nuclear Theory · Physics 2018-02-22 A. Cieply , J. Mares , M. Schaefer , N. Barnea , B. Bazak , E. Friedman , A. Gal

The coupled eta-N, pi-N, gamma-N, 2pi-N system is described by a K-matrix method. The parameters in this model are adjusted to get an optimal fit to pi-N-->pi-N, pi-N-->eta-N, gamma-N-->pi-N and gamma-N-->eta-N data in an energy range of…

Nuclear Theory · Physics 2014-11-18 A. M. Green , S. Wycech

A study of the interaction of loosely bound nuclei 6,7Li at 9 and 19 AMeV with light targets has been undertaken. With the determination of unambiguous optical potentials in mind, elastic data for four projectile-target combinations and one…

Nuclear Experiment · Physics 2009-11-10 F. Carstoiu , L. Trache , R. E. Tribble , C. A. Gagliardi

The optical potential for the $\eta$-meson is calculated. This is based on a new determination of a large $\eta$-N scattering length and recent experiments of $\eta$ production in two nucleon collisions. These determine the $\eta$ - nuclear…

Nuclear Theory · Physics 2007-05-23 J. Kulpa , S. Wycech , A. M. Green

We consider a general problem of inelastic collision of particles interacting with power-law potentials. Using quantum defect theory we derive an analytical formula for the energy-dependent complex scattering length, valid for arbitrary…

Atomic Physics · Physics 2014-10-14 Krzysztof Jachymski , Michał Krych , Paul S. Julienne , Zbigniew Idziaszek

Eta-deuteron scattering lengths are calculated. A summation of the multiple scattering series is carried out and the result is checked against more involved calculations. The necessity to go beyond the fixed nucleon approximation is…

Nuclear Theory · Physics 2008-11-26 A. M. Green , J. A. Niskanen , S. Wycech

We explore the relationships between scattering states and bound states of different non-analytic segments (depending on $|x|$) of the exponential potential, and elucidate the status of the special scattering states found in an earlier…

Quantum Physics · Physics 2021-02-12 Zafar Ahmed , H F Jones

The nucleus-nucleus interaction potential has been studied within the relativistic mean field theory. The systematics of the relativistic effects have been investigated by analyzing the relation between the potential and the bombarding…

Nuclear Theory · Physics 2011-02-23 Wen Hui Long , Carlos A. Bertulani

A pair of atoms interacts with non-resonant light via its anisotropic polarizability. This effect can be used to tune the scattering properties of the atoms. Although the light-atom interaction varies with interatomic separation as…