Soft monopole mode in weakly bound light nuclei

doi:10.1016/0375-9474(93)90299-D

Nuclear Physics A

Volume 551, Issue 1, 4 January 1993, Pages 1-15

https://doi.org/10.1016/0375-9474(93)90299-D Get rights and content

Abstract

A low-energy peak appears in the monopole strength functions of light nuclei composed of two weakly bound clusters. It exhausts a significant part of the soft-mode sum rules associated with the relative motion of the clusters, and a non-negligible part of the total sum rules. The peak properties mainly depend on the binding energy of the clusters. This effect is studied both in a simple potential model and in a multichannel microscopic model for nuclei of interest in astro-physics: ⁷Li, ⁷Be, ⁸Li, ⁸B and ¹²N. The peak value of the ⁸B monopole strength function is related to the astrophysical S-factor for the ⁷Be(p, γ)⁸B reaction at zero energy.

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The microscopic generator-coordinate method is generalized to the calculation of matter densities in light nuclei having a cluster structure. Multipole components of the proton and neutron densities are calculated for the bound states and narrow resonances of ⁸B and ⁸Li, as well as for transitions between these states. The proton densities of ⁸B and neutron densities of ⁸Li resemble each other. They suggest that the 2⁺ and 1⁺ states belong to a same band while 3⁺ is of a different nature. For the 2⁺ ground state, they display long tails which can be related to the slow decrease of the ⁷Be + p and ⁷Li + n relative wave functions. The tails of the ⁸B neutron and ⁸Li proton densities are much shorter and are sensitive to the choice of the model space. The thicknesses of the proton skin in ⁸B and of the neutron skin in ⁸Li are 0.42 and 0.35 fm respectively. The large value of the ⁸B quadrupole moment is explained without a notion of halo, although the tail of the density contributes by about 20%. Whether the tail of the ⁸B proton density can help determine the astrophysical S factor for the ⁷Be(p, γ)⁸B reaction at zero energy is also discussed.
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¹: Permanent address: Institute of Nuclear Physics, Ulugbek, 702132 Tashkent, Uzbekistan.

²: Chercheur qualifié FNRS.

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Nuclear Physics A

Abstract

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Triaxiality-induced monopole-quadrupole-hexadecupole coupling in the isoscalar giant resonances of Ge 86

Triaxiality induced monopole-quadrupole-hexadecupole coupling in the isoscalar giant resonances for <sup>86</sup>Ge

Evolution of soft monopole mode in the even-even nickel isotopes Ni 58-68