Energy levels of A = 21−44 nuclei (V)

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

Nuclear Data Sheets for A=40☆

https://escholarship.org/content/qt1mg151pc/qt1mg151pc.pdf?t=pgp78k

Nuclear Data Sheets for A=40 ☆

Proton-nucleus quasielastic scattering cross sections and spin observables are calculated in a relativistic plane-wave impulse approximation for nuclei from $^{12}\mathrm{C}$ to $^{208}\mathrm{Pb}$ at energies of 300 to 800 MeV. Relativistic effects are incorporated by using Dirac spinors with enhanced lower components characterized by an effective mass from 0.8 to 0.9M. The analyzing power is found to decrease significantly from free NN values when relativistic spinors are used. This reduction is in good agreement with data. Little change in polarization transfer coefficients ${D}_{i\mathcal{'}j}$ is found at 500 MeV. However, predictions of enhanced ${D}_{s\mathcal{'}s}$ and ${D}_{l\mathcal{'}l}$ are made at lower energies. Calculations are also presented for (p,n) quasifree charge exchange reactions. Here the analyzing power is almost unchanged but large changes in cross section and polarization transfer coefficients are possible. These changes depend on how pion contributions to the NN amplitudes are treated. Suggestions for future theoretical and experimental work are made.

Quasielastic proton-nucleus scattering in a relativistic plane-wave impulse approximation

Spin-flip probabilities have been measured for inelastic proton scattering from /sup 40/Ca at 319 MeV at angles between 3/sup 0/ and 12/sup 0/ and excitation energies up to about 40 MeV. These data can be directly related to the relative ((spin transfer)/(no spin transfer)) nuclear response via one model-dependent variable. Nuclear spin excitations appear relatively suppressed at low excitation energies but surprisingly enhanced at the highest excitation energies at intermediate angles. Many features of the data can be explained with a slab nuclear response with random-phase-approximation correlations.

Enhancement of the relative ( Delta S=1)/( Delta S=0) response of 40Ca at high excitation energies.

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Enhancement of the relative ( Delta S=1)/( Delta S=0) response of 40Ca at high excitation energies.