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The inelastic scattering of electrons on weakly-bound nuclei is studied with a simple model based on the long range behavior of the bound state wavefunction and on the effective-range expansion for the continuum wavefunctions. Three…

核理论 · 物理学 2009-11-11 C. A. Bertulani

In quantum systems with short-range interactions, causality imposes nontrivial constraints on low-energy scattering parameters. We investigate these causality constraints for systems where a long-range Coulomb potential is present in…

核理论 · 物理学 2013-03-14 Sebastian König , Dean Lee , H. -W. Hammer

The resonance and bound--state poles of the amplitude describing elastic scattering of $\eta$-meson off the light nuclei $^2H$,\,$^3H$,\, $^3He$, and $^4He$ are calculated in the framework of a microscopic approach based on few--body…

核理论 · 物理学 2011-04-15 S. A. Rakityansky , S. A. Sofianos , V. B. Belyaev , W. Sandhas

High precision angular distribution data of ($\alpha$,$\alpha$) elastic scattering are presented for the nuclei $^{89}$Y, $^{92}$Mo, $^{106,110,116}$Cd, $^{112,124}$Sn, and $^{144}$Sm at energies around the Coulomb barrier. Such data with…

核实验 · 物理学 2015-05-05 P. Mohr , G. G. Kiss , Zs. Fülöp , D. Galaviz , Gy. Gyürky , E. Somorjai

A direct method for the bound states and the low energy scattering from a circular and a spherical delta shell potentials is proposed and the results are compared with the one using the standard partial wave analysis developed for…

数学物理 · 物理学 2022-03-08 Fatih Erman , Sema Seymen

Halo nuclei are characterized by a few weakly bound halo nucleons and a more tightly bound core. This separation of scales can be exploited in a few-body description of halo nuclei, since the detailed structure of the core is not resolved…

核理论 · 物理学 2023-02-03 H. -W. Hammer

The elastic $\alpha$-$^{12}$C scattering for $l=0,1,2,3$ channels at low energies is studied, including the energies of excited bound states of $^{16}$O, in effective field theory. We introduce a new renormalization method due to the large…

核理论 · 物理学 2018-01-16 Shung-Ichi Ando

Exact solutions of two-particle relativistic equations of quantum field theory describing the scattering $s$-states and the bound $s$-states are found in the cases of delta-shell potential and superposition of delta-shell potentials. Some…

数学物理 · 物理学 2013-12-09 Valery Kapshai , Yury Grishechkin

Using an effective field-theoretical approach, we investigate the properties of weakly bound two-neutron halo nuclei (also known as Borromean nuclei) that do not support a low-energy $s$-wave core-neutron resonance. Extending the recently…

核理论 · 物理学 2025-07-30 Davi B. Costa , Masaru Hongo , Dam Thanh Son

We analyze the peculiarities of the interaction of the lambda hyperon with s-shell nuclei. The spectra of bound and scattering states are studied in the hypernuclei $_{\Lambda}^{2}$H, $_{\Lambda}^{3}$H, $_{\Lambda}^{4}$H, $_{\Lambda}^{4}$He…

We investigate the use of elastic and inelastic scatterings with secondary beams of radioactive nuclei as a mean to obtain information on ground state properties and transition matrix elements to continuum states. An eikonal model is…

核理论 · 物理学 2016-09-08 C. A. Bertulani , H. Sagawa

A phenomenological optical potential is generalized to include the Coulomb and nuclear interactions caused by the dynamical deformation of its surface. In the high-energy approach analytical expressions for elastic and inelastic scattering…

核理论 · 物理学 2009-11-11 V. K. Lukyanov , Z. Metawei , E. V. Zemlyanaya

The experimental characterization of scattering resonances in low energy collisions has proven to be a stringent test for quantum chemistry calculations. Previous measurements on the NO-H$_2$ system at energies down to $10$ cm$^{-1}$…

A variational technique to describe the ground and scattering states below the break-up threshold for a three-nucleon system is developed. The method consists in expanding the wave function in terms of correlated Harmonic Hyperspherical…

核理论 · 物理学 2009-10-30 A. Kievsky , M. Viviani , S. Rosati

Compact algebraic equations are derived, which connect the binding energy and the asymptotic normalization constant (ANC) of a subthreshold bound state with the effective-range expansion of the corresponding partial wave. These relations…

核理论 · 物理学 2010-04-06 Jean-Marc Sparenberg , Pierre Capel , Daniel Baye

$(\alpha,\gamma)$ and $(\alpha$,n) reaction cross sections recently measured close to the reaction thresholds are rather well described by a previously developed regional optical potential. Thus, particular features of the $\alpha$-particle…

核实验 · 物理学 2009-04-28 M. Avrigeanu , V. Avrigeanu

We present the first example of a rigorous uncertainty quantification on elastic Nucleus-Nucleus scattering at energies near the Coulomb barrier. Experimental data has been analyzed using an energy dependent effective optical model…

核理论 · 物理学 2019-06-13 Rodrigo Navarro Pérez , Jin Lei

For the family of model soft Coulomb potentials represented by V(r) = -\frac{Z}{(r^q+\beta^q)^{\frac{1}{q}}}, with the parameters Z>0, \beta>0, q \ge 1, it is shown analytically that the potentials and eigenvalues, E_{\nu\ell}, are…

数学物理 · 物理学 2015-05-13 Richard L. Hall , Nasser Saad , K. D. Sen , Hakan Ciftci

The optical potential of halo and weakly bound nuclei has a long range part due to the coupling to breakup that damps the elastic scattering angular distributions. In order to describe correctly the breakup channel in the case of scattering…

核理论 · 物理学 2009-11-10 Awad A. Ibraheem , Angela Bonaccorso

Nuclear halos emerge as new degrees of freedom near the neutron and proton driplines. They consist of a core and one or a few nucleons which spend most of their time in the classically-forbidden region outside the range of the interaction.…

核理论 · 物理学 2017-11-07 H. -W. Hammer , C. Ji , D. R. Phillips
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