Energy levels of A = 21−44 nuclei (V)

https://www.cns.s.u-tokyo.ac.jp/~shimoura/research/nuc_data/pdf/13.pdf

Energy levels of light nuclei A = 13-15

A review is given of our present knowledge of collective spin-isospin excitations in nuclei. Most of this knowledge comes from intermediate-energy charge-exchange reactions and from inelastic electron- and proton-scattering experiments. The nuclear-spin dynamics is governed by the spin-isospin-dependent two-nucleon interaction in the medium. This interaction gives rise to collective spin modes such as the giant Gamow-Teller resonances. An interesting phenomenon is that the measured total Gamow-Teller transition strength in the resonance region is much less than a model-independent sum rule predicts. Two physically different mechanisms have been discussed to explain this so-called quenching of the total Gamow-Teller strength: coupling to subnuclear degrees of freedom in the form of $\ensuremath{\Delta}$-isobar excitation and ordinary nuclear configuration mixing. Both detailed nuclear structure calculations and extensive analyses of the scattering data suggest that the nuclear configuration mixing effect is the more important quenching mechanism, although subnuclear degrees of freedom cannot be ruled out. The quenching phenomenon occurs for nuclear-spin excitations at low excitation energies ($\ensuremath{\omega}\ensuremath{\sim}10\ensuremath{-}20$ MeV) and small-momentum transfers ($q\ensuremath{\le}0.5$ ${\mathrm{fm}}^{\ensuremath{-}1}$). A completely opposite effect is anticipated in the high ($\ensuremath{\omega}$, $q$)-transfer region ($0\ensuremath{\le}\ensuremath{\omega}\ensuremath{\le}500$ MeV, $0.5\ensuremath{\le}q\ensuremath{\le}3$ ${\mathrm{fm}}^{\ensuremath{-}1}$). The nuclear spin-isospin response might be enhanced due to the attractive pion field inside the nucleus. Charge-exchange reactions at GeV incident energies have been used to study the quasifree peak region and the $\ensuremath{\Delta}$-resonance region. An interesting result of these experiments is that the $\ensuremath{\Delta}$ excitation in the nucleus is shifted downwards in energy relative to the $\ensuremath{\Delta}$ excitation of the free proton. The physical origin of this shift is discussed, and it is shown that it may be related to the energy-dependent, attractive one-pion exchange interaction in the medium.

Nuclear spin and isospin excitations

The interaction between light heavy-ions and what it tells us

Transition densities between the 0(1)+,2(1)+,4(1)+,0(2)+,2(2)+,1(1)- and 3(1)- states in c-12 derived from the 3-alpha resonating-group wave-functions

The Kallio-Kolltveit interaction is used as the effective interaction in a distorted-wave-approximation analysis of a few transitions in the reactions ${\mathrm{C}}^{12}(p,{p}^{\ensuremath{'}})$ and ${\mathrm{Ca}}^{40}(p,{p}^{\ensuremath{'}})$ at energies ranging from 25 to 55 MeV, and a comparison is made with results obtained using Yukawa interactions parametrized on the basis of low-energy nucleon-nucleon and nuclear data. It is concluded that the Kallio-Kolltveit interaction gives a good account of the basic features of the reactions, whereas the other interactions considered lead to somewhat poorer overall agreement with experiment.

Finite-Nucleus G Matrix in the Microscopic Description of Inelastic Proton Scattering

Charge Exchange Part of the Effective Two-Body Interaction

It is found that the knockout-exchange contribution to inelastic-scattering processes is very large in many cases, the exchange being relatively more important for high orbitalangular-momentum transfer. The phases of direct and exchange amplitudes as a function of scattering angle are remarkably close to being the same. Inclusion of exchange in the excitation of the collective ${2}^{+}$ state in $^{118}\mathrm{Sn}$ increases the cross section by a factor of 2 compared with the direct amplitude alone.

V. A. Madsen

Papers

Finite-Nucleus G Matrix in the Microscopic Description of Inelastic Proton Scattering

Charge Exchange Part of the Effective Two-Body Interaction

Properties of the Knockout-Exchange Amplitudes in Nucleon-Nucleus Scattering

Effect of the knockout-exchange mechanism in nucleon--nucleus scattering.