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The n-3H and p-3He elastic phase-shifts below the trinucleon disintegration thresholds are calculated by solving the 4-nucleon problem with three different realistic nucleon-nucleon interactions (the I-N3LO model by Entem and Machleidt, the…

Nuclear Theory · Physics 2015-05-30 M. Viviani , A. Deltuva , R. Lazauskas , J. Carbonell , A. C. Fonseca , A. Kievsky , L. E. Marcucci , S. Rosati

Model-independent constraints for the neutron-triton and proton-Helium-3 scattering lengths are calculated with a leading-order interaction derived from an effective field theory without explicit pions. Using the singlet neutron-proton…

Nuclear Theory · Physics 2011-05-20 Johannes Kirscher

The isoscalar and isovector scattering lengths (b_0,b_1) are determined using a unitarized coupled channel approach based on chiral Lagrangians. Using experimental values of pionic hydrogen and deuterium as well as low energy pi N…

Nuclear Theory · Physics 2011-02-09 M. Doring , E. Oset , M. J. Vicente Vacas

An effective field theory treatment of nucleon-nucleon scattering at low energy shows much promise and could prove a useful tool in the study of nuclear matter at both ordinary and extreme densities. The analysis is complicated by the…

Nuclear Theory · Physics 2009-10-30 David B. Kaplan

Contributions of three-nucleon forces (3NF) to proton-deuteron scattering observables at energies below the deuteron breakup threshold are studied by solving the Faddeev equation that includes the Coulomb interaction. At E_p=3.0 MeV, we…

Nuclear Theory · Physics 2009-11-10 S. Ishikawa , M. Tanifuji , Y. Iseri

The effective field theory approach is applied to the three-nucleon process of $S=1/2$ neutron-deuteron scattering in the S-wave, including the effective range parameters summed at all orders. This is achieved through a modification of the…

Nuclear Theory · Physics 2007-05-23 F. Gabbiani

In this paper, we study the dynamics behavior of the NLS system with three waves interaction in the energy space $H^1(\mathbb{R}^5) \times H^1(\mathbb{R}^5)\times H^1(\mathbb{R}^5) $. Inspired by B. Dodson and J. Murphy in…

Analysis of PDEs · Mathematics 2022-01-25 Fanfei Meng , Sheng Wang , Chengbin Xu

This report presents an investigation of the pion-nucleon elastic scattering in low energy region using a production representation of the partial wave $S$ matrix. The phase shifts are separated into contributions from poles and branch…

High Energy Physics - Phenomenology · Physics 2019-02-20 Yu-Fei Wang

The model-independent analysis of the S- and P-wave pi-pi phase shifts was carried out. This analysis was based on the using of the Roy equations only and all available experimental data from the threshold up to dipion mass 1GeV. The S-wave…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. N. Maiorov , O. O. Patarakin

High precision benchmark calculations for phase-shifts and mixing parameters as well as observables in elastic neutron-deuteron scattering below the deuteron breakup threshold are presented using a realistic nucleon-nucleon potential. Two…

Nuclear Theory · Physics 2008-11-26 A. Kievsky , M. Viviani , S. Rosati , D. Hueber , W. Gloeckle , H. Kamada , H. Witala , J. Golak

We study the low energy part of the nucleon and $\Delta$ spectra by solving the Schr\"{o}dinger equation for the three-quark system in the hyperspherical harmonic approach. The quark-quark hamiltonian considered includes, besides the usual…

Nuclear Theory · Physics 2011-04-15 A. Valcarce , F. Fernandez , P. Gonzalez , V. Vento

Exclusive and kinematically complete high-statistics measurements of quasifree polarized $\vec{n}p$ scattering have been performed in the energy region of the narrow resonance structure $d^*$ with $I(J^P) = 0(3^+)$, $M \approx$ 2380…

Nuclear Experiment · Physics 2015-06-18 P. Adlarson , W. Augustyniak , W. Bardan , M. Bashkanov , F. S. Bergmann , M. Berlowski , H. Bhatt , M. Buescher , H. Calen. I. Ciepa , H. Clement , D. Coderre , E. Czerwinski , K. Demmich , E. Doroshkevich , R. Engels , A. Erven , W. Erven , W. Eyrich , P. Fedorets , K. Foehl , K. Fransson , F. Goldenbaum , P. Goslawski , A. Goswami , K. Grigoyev , C. -O. Gullstroem , F. Hauenstein , L. Heijkenskjoeld , V. Hejny , M. Hodana , B. Hoistad , N. Huesken , A. Jany , B. R. Jany , L. Jarczyk , T. Johansson , B. Kamys , G. Kemmerling , F. A. Khan , A. Khoukaz , D. A. Kirrilov , S. Kistryn , H. Kleines , B. Klos , M. Krapp , W. Krzemien , P. Kulessa , A. Kupsc , K. Lalwani , D. Lersch , B. Lorentz , A. Magiera , R. Maier , P. Marciniewski , B. Marianski , M. Mikirtychiants , H. -P. Morsch , P. Moskal , H. Ohm , I. Ozerianska , E. Perez del Rio , N. M. Piskunov , P. Podkopal , D. Prasuhn , A. Pricking , D. Pszczel , K. Pysz , A. Pysniak , C. F. Redmer , J. Ritman , A. Roy , Z. Rudy , S. Sawant , S. Schadmand , T. Sefzick , V. Serdyuk , R. Siudak , T. Skorodko , M. Skurzok , J. Smyrski , V. Sopov , R. Stassen , J. Stepaniak , E. Stephan , G. Sterzenbach , H. Stockhorst , H. Stroeher , A. Szczurek , A. Taeschner , A. Trzcinski , R. Varma , G. J. Wagner , M. Wolke , A. Wronska , P. Wuestner , P. Wurm , A. Yamamoto , L. Yurev , J. Zabierowski , M. J. Zielinski , A. Zink , J. Zlomanczuk , P. Zupranski , M. Zurek , R. L. Workman , W. J. Briscoe , I. I. Strakovsky

We evaluate, within one-loop chiral perturbation theory, the two-pion exchange diagrams with single and double delta-isobar excitation contributing to elastic NN-scattering. We find that virtual $\Delta$-excitation processes (in the static…

Nuclear Theory · Physics 2010-04-06 N. Kaiser , S. Gerstendoerfer , W. Weise

We employ the chiral nucleon-nucleon potential derived using the method of unitary transformation up to next-to-next-to-leading order (NNLO) to study bound and scattering states in the two-nucleon system. The predicted partial wave phase…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Gloeckle , Ulf-G. Meissner

It is known that at their threshold intermediate two-baryon NDelta states can produce resonance-like structures in some isospin one states, often interpreted as more exotic manifest six-quark states. This paper applies the coupled-channel…

Nuclear Theory · Physics 2024-05-24 J. A. Niskanen

We have calculated the p-wave phase shifts and scattering length of $^6$Li. For this we solve the $p$ partial wave Schr\"odinger equation and analyze the validity of adopting the semiclassical solution to evaluate the constant factors in…

Atomic Physics · Physics 2010-01-30 S. Gautam , D. Angom

The topic of this paper is a semi-linear, energy sub-critical, defocusing wave equation $\partial_t^2 u - \Delta u = - |u|^{p -1} u$ in the 3-dimensional space ($3\leq p<5$) whose initial data are radial and come with a finite energy. We…

Analysis of PDEs · Mathematics 2019-08-27 Ruipeng Shen

Motivated by the success of models based on chiral symmetry in NN interactions we investigate self-interacting scalar, pseudoscalar and vector meson fields and their impact for NN forces. We parametrize the corresponding nonlinear field…

Nuclear Theory · Physics 2008-11-26 L. Jaede , H. V. von Geramb

The Roy equations determine the S- and P-wave pion-pion phase shifts on a low energy interval. They allow the derivation of threshold parameters from experimental data. We examine the solutions of these equations that are in the…

High Energy Physics - Phenomenology · Physics 2009-01-07 G. Wanders

Elastic cross sections are calculated and compared with the data on $\pi^{\pm}$ scattering on $^{28}$Si, $^{40}$Ca, $^{58}$Ni, $^{208}$Pb nuclei in the energy range from 130 to 290 MeV. To this end, both the folding optical potential (OP)…

Nuclear Theory · Physics 2021-04-02 V. K. Lukyanov , E. V. Zemlyanaya , K. V. Lukyanov , I. Abdul-Magead