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Related papers: Nucleon-antinucleon Interaction from the Modified …

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We calculate the nucleon-antinucleon static potential in the Skyrme model using the product ansatz and including some finite $N_C$ (number of colors) corrections. The mid and long range part of the spin-spin and tensor force are correctly…

Nuclear Theory · Physics 2008-11-26 Yang Lu , R. D. Amado

We calculate the full static interaction of a Skyrmion and an anti-Skyrmion as a function of separation and relative grooming. From this, using projection methods and Born-Oppenheimer mixing, we obtain the nucleon antinucleon interaction.…

Nuclear Theory · Physics 2008-11-26 Yang Lu , Pavlos Protopapas , R. D. Amado

The interaction between the hyperon and the nucleon is investigated in the SU(3) Skyrme model. The static potential, which is expanded in terms of the modified SU(3) rotation matrices, is obtained for several orientations with the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hideyuki Abe

We derive the nucleon-nucleon interaction from the Skyrme model using second order perturbation theory and the dipole approximation to skyrmion dynamics. Unlike previous derivations, our derivation accounts for the non-trivial kinetic and…

High Energy Physics - Theory · Physics 2022-08-10 Derek Harland , Chris Halcrow

We consider the interaction of two skyrmions in the framework of the sudden approximation. The widely used product ansatz is investigated. Its failure in reproducing an attractive central potential is associated with terms that violate…

Nuclear Theory · Physics 2009-11-06 Isabela P. Cavalcante , Manoel R. Robilotta

Based on an extended Skyrme interaction that includes the terms in relative momenta up to sixth order, corresponding to the so-called Skyrme pseudopotential up to next-to-next-to-next-to leading order (N3LO), we derive the expressions of…

Nuclear Theory · Physics 2018-12-05 Rui Wang , Lie-Wen Chen , Ying Zhou

We derive the nucleon-nucleon interaction from the Skyrme model using the instanton and product approximations to skyrmion dynamics. In doing so, we also calculate the classical potential and metric for skyrmion dynamics in each of the…

High Energy Physics - Theory · Physics 2022-11-23 Chris Halcrow , Derek Harland

By using the product ansatz as an approximation for the two-baryon system we investigate the isoscalar nucleon-nucleon spin-orbit potential in an extended Skyrme model including both fourth- and sixth-order terms. As it is the case for the…

High Energy Physics - Phenomenology · Physics 2009-09-25 Abdellatif Abada

A Skyrme type Lagrangian for a skyrmion imbedded in a baryon rich environment is proposed. The dependence of static nucleon properties and nucleon - nucleon tensor interaction on nuclear density is investigated.

Nuclear Theory · Physics 2008-11-26 F. Khanna , A. M. Rakhimov , M. M. Musakhanov , U. T. Yakhshiev

We develop the formalism to study the hyperon-nucleon interaction potential within the bound state approach to the SU(3) Skyrme model. The general framework is illustrated by applying it to the diagonal $\Lambda N$ potential. The central,…

High Energy Physics - Phenomenology · Physics 2009-10-31 G. L. Thomas , V. E. Herscovitz , C. L. Schat , N. N. Scoccola

The recently developed extended Skyrme effective interaction based on the so-called N3LO Skyrme pseudopotential is generalized to the general N$n$LO case by incorporating the derivative terms up to 2$n$th-order into the central term of the…

Nuclear Theory · Physics 2025-04-18 Si-Pei Wang , Xin Li , Rui Wang , Jun-Ting Ye , Lie-Wen Chen

We study the (anti)kaon nucleon interaction in the Skyrme model. The kaon field is introduced as a fluctuation around the rotating Skyrmion for the nucleon. As an extension of our previous work, we study scattering states and examine phase…

High Energy Physics - Phenomenology · Physics 2017-09-13 Takashi Ezoe , Atsushi Hosaka

Based on an extended Skyrme momentum-dependent interaction (MDI), we derive an isospin asymmetric equation of state, isospin-dependent single-particle potential and the Hamiltonian which can be used in the Boltzmann-Uehling-Uhlenbeck (BUU)…

Nuclear Theory · Physics 2024-05-16 Junping Yang , Xiang Chen , Ying Cui , Yangyang Liu , Zhuxia Li , Yingxun Zhang

The derivation of the nucleon-nucleon force from the Skyrme model is reexamined. Starting from previous results for the potential energy of quasistatic solutions, we show that a calculation using the Born-Oppenheimer approximation properly…

Nuclear Theory · Physics 2008-11-26 Niels R. Walet , R. D. Amado

Results of an exploratory study of the antinucleon-nucleon interaction within chiral effective field theory are reported. The antinucleon-nucleon potential is derived up to next-to-next-to-leading order, based on a modified Weinberg power…

High Energy Physics - Phenomenology · Physics 2015-06-17 Xian-Wei Kang , Johann Haidenbauer , Ulf-G. Meißner

We study kaon-nucleon systems in the Skyrme model in a method based on the bound state approach of Callan-Klebanov but with the kaon around the physical nucleon of the rotating hedgehog. This corresponds to the variation after projection,…

Nuclear Theory · Physics 2016-08-17 Takashi Ezoe , Atsushi Hosaka

The Skyrme model is reconsidered from an effective theory point of view. Starting with the most general Lagrangian up to including terms of order $p^4$, $N_c$ and $\delta m^2$ ($\delta m\equiv m_s-m$), we obtain new interactions, which have…

High Energy Physics - Phenomenology · Physics 2017-08-23 Koji Harada

We investigate the binding energy per nucleon and hadron properties in infinite and homogeneous nuclear matter within the framework of the in-medium modified Skyrme model. We first consider the medium modifications of the single hadron…

High Energy Physics - Phenomenology · Physics 2011-04-04 Ulugbek Yakhshiev , Hyun-Chul Kim

We construct a new Skyrme interaction Sk$\chi$m$^*$ by fitting the equation of state and nucleon effective masses in asymmetric nuclear matter from chiral two- and three-body forces as well as the binding energies of finite nuclei.…

Nuclear Theory · Physics 2018-01-17 Zhen Zhang , Yeunhwan Lim , Jeremy W. Holt , Che Ming Ko

The nuclear sigma term is calculated including the nuclear matrix element of the derivative of the NN interaction with respect to the quark mass, $m_q\frac{\partial V_{NN}}{\partial m_q}$. The NN potential is evaluated in the…

Nuclear Theory · Physics 2008-11-26 A. Gammal , T. Frederico
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