Abstract

The interplay of particle and vibrations in N=7 isotones is considered according to nuclear field theory, focusing on the main many-body effects which renormalise the energy spectrum of the halo nucleus 11Be, leading to parity inversion and to renormalization of the form facto s determining the cross sections associated with one-nucleon transfer reactions.

Highlights

  • Many features of the N=7 halo nuclei 10Li and 11Be can be understood taking into account the strong many-body renormalization effects arising from the coupling of particles with the quadrupole collective vibrations of the core. This coupling leads to the inversion of the sequence of the 1+ 2 and 1− 2 levels, as compared to the usual shell model order. In this contribution we outline the treatment of these many-body effects and the results obtained, for other N=7 isotones, within nuclear field theory (NFT) [1,2,3,4], which has been shown to lead to a rather accurate description of the structure and reactions measured in these nuclei, in particular reproducing the absolute cross sections of the 10Be(d,p)11Be and 9Li(d,p)10Li transfer reactions [5, 6]

  • In the resulting basis the collective states are to be calculated by diagonalising Htb in the random phase approximation (RPA)

  • Where Σa(r, r, E) denotes the self-energy. This is a complex, non local, energy-dependent quantity, which represents the interaction between the odd neutron and the core, and is an essential element to compute the single-particle transfer cross sections together with the optical potentials in the entrance and exit channels

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Summary

Introduction

Many features of the N=7 halo nuclei 10Li and 11Be can be understood taking into account the strong many-body renormalization effects arising from the coupling of particles with the quadrupole collective vibrations of the core. This coupling leads to the inversion of the sequence of the 1+ 2 and 1− 2 levels, as compared to the usual shell model order In this contribution we outline the treatment of these many-body effects and the results obtained, for other N=7 isotones, within nuclear field theory (NFT) [1,2,3,4], which has been shown to lead to a rather accurate description of the structure and reactions measured in these nuclei, in particular reproducing the absolute cross sections of the 10Be(d,p)11Be and 9Li(d,p)10Li transfer reactions [5, 6]

The model Hamiltonian
Many-body renormalization effects
The case of odd-odd nuclei
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