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Second-order equation of state with the Skyrme interaction : Cutoff and dimensional regularization with the inclusion of rearrangement terms

C. J. Yang, M. Grasso, X. Roca-Maza, G. Colò, and K. Moghrabi

We evaluate the second-order (beyond-mean-field) contribution to the equation of state of nuclear matter with the effective Skyrme force and use cutoff and dimensional regularizations to treat the ultraviolet divergence produced by the zero-range character of this interaction. An adjustment of the force parameters is then performed in both cases to remove any double counting generated by the explicit computation of beyond-mean-field corrections with the (...)

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From dilute matter to the equilibrium point in the energy-density-functional theory

C. J. Yang, M. Grasso, and D. Lacroix

Due to the large value of the scattering length in nuclear systems, standard density-functional theories based on effective interactions usually fail to reproduce the nuclear Fermi-liquid behavior both at very low densities and close to equilibrium. Guided on one side by the success of the Skyrme density functional and, on the other side, by resummation techniques used in effective field theories for systems with large scattering lengths, a new (...)

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Spin-orbit interaction in relativistic nuclear structure models

J.-P. Ebran, A. Mutschler, E. Khan, and D. Vretenar

Relativistic self-consistent mean-field (SCMF) models naturally account for the coupling of the nucleon spin to its orbital motion, whereas nonrelativistic SCMF methods necessitate a phenomenological ansatz for the effective spin-orbit potential. Recent experimental studies aim to explore the isospin properties of the effective spin-orbit interaction in nuclei. SCMF models are very useful in the interpretation of the corresponding data ; however, standard (...)

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Elastic pion-nucleon scattering in chiral perturbation theory : A fresh look

D. Siemens, V. Bernard, E. Epelbaum, A. Gasparyan, H. Krebs, and Ulf-G. Meißner

Elastic pion-nucleon scattering is analyzed in the framework of chiral perturbation theory up to fourth order within the heavy-baryon expansion and a covariant approach based on an extended on-mass-shell renormalization scheme. We discuss in detail the renormalization of the various low-energy constants and provide explicit expressions for the relevant β functions and the finite subtractions of the power-counting breaking terms within the covariant (...)

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Neutron decay of C15 resonances by measurements of neutron time-of-flight

M. Cavallaro, C. Agodi, M. Assié, F. Azaiez, F. Cappuzzello, D. Carbone, N. de Séréville, A. Foti, L. Pandola, J. A. Scarpaci, O. Sgouros, V. Soukeras, and S. Tropea

The neutron decay of the resonant states of light neutron-rich nuclei is an important and poorly explored property, useful to extract valuable nuclear structure information. In the present paper the neutron decay of the C15 resonances populated via the two-neutron transfer reaction C13(O18,O16n) at 84-MeV incident energy is reported for the first time using an innovative technique which couples the MAGNEX magnetic spectrometer and the EDEN neutron (...)

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IPN

Institut de Physique Nucléaire Orsay - 15 rue Georges CLEMENCEAU - 91406 ORSAY (FRANCE)
UMR 8608 - CNRS/IN2P3

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