Inversion doublets of reflection-asymmetric clustering in 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Si</mml:mi><mml:mprescripts/><mml:none/><mml:mn>28</mml:mn></mml:mmultiscripts></mml:math>
 and their isoscalar monopole and dipole transitions

Chiba, Y., Taniguchi, Y., Kimura, M.

doi:10.48550/arxiv.1610.04000

Background: Various cluster states of astrophysical interest are expected to exist in the excited states of Si-28. However, they have not been identified firmly, because of the experimental and theoretical difficulties. Purpose: To establish the Mg-24 + alpha, O-16 + C-12, and Ne-20 + 2 alpha cluster bands, we theoretically search for the negative-parity cluster bands that are paired with the positive-parity bands to constitute the inversion doublets. We also offer the isoscalar monopole and dipole transitions as a promising probe for the clustering. We numerically show that these transition strengths from the ground state to the cluster states are very much enhanced. Method: The antisymmetrized molecular dynamics with GognyD1S effective interaction is employed to calculate the excited states of Si-28. The isoscalar monopole and dipole transition strengths are directly evaluated from wave functions of the ground and excited states. Results: Negative-parity bands having Mg-24 + alpha and O-16 + C-12 cluster configurations are obtained in addition to the newly calculated Ne-20 + 2 alpha cluster bands. All of them are paired with the corresponding positive-parity bands to constitute the inversion doublets with various cluster configurations. The calculation shows that the bandheads of the Mg-24 + alpha and Ne-20 + 2 alpha cluster bands are strongly excited by the isoscalar monopole and dipole transitions. Conclusions: The present calculation suggests the existence of inversion doublets with the Mg-24 + alpha, O-16 + C-12, and Ne-20 + 2 alpha configurations. Because of the enhanced transition strengths, we offer the isoscalar monopole and dipole transitions as good probe for the Mg-24 + alpha and Ne-20 + 2 alpha cluster bands.

Inversion doublets of reflection-asymmetric clustering in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Si</mml:mi><mml:mprescripts/><mml:none/><mml:mn>28</mml:mn></mml:mmultiscripts></mml:math> and their isoscalar monopole and dipole transitions

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