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Probing isoscalar giant monopole resonance in axially and triaxially deformed zirconium isotopes

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Abstract

Numerical calculations of the isoscalar giant monopole resonance (ISGMR) strength in even-even Zr isotopes are presented using the quasiparticle finite amplitude method based on the deformed relativistic Hartree–Bogoliubov theory, employing the DD-PCX and DD-PC1 effective interactions. A satisfactory agreement with the available experimental ISGMR strength is achieved for \(^{90,92}\)Zr. Through constraint calculations in the (\(\beta\),\(\gamma\))-plan, we identify local minima corresponding to axial and triaxial shapes in the even-even Zr isotopes. A soft monopole mode observed near 15 MeV in \(^{94}\)Zr and around 13 MeV in \(^{96,98,100}\)Zr can be explained not only by the deformation-induced coupling between the ISGMR and the isoscalar giant quadrupole resonance (ISGQR) strength, but also by the influence of neutron excess. The ISGMR is best described by the DD-PCX force, having a low value of the incompressibility value of \(K_0\) = 213 MeV and of the Dirac mass ratio \(\frac{m^*}{m}\) = 0.559. Furthermore, a transition in the positions of the soft and main ISGMR due to the kind of nuclear deformation is also observed. Additionally, the transition density of the soft monopole mode indicates that the nucleons vibrate in a distinct phase near the surface region. This phenomenon, generated by quadrupole vibrations, can be also considered as a manifestation of another monopole vibration.

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Author notes

  1. Y. El Bassem, A. El Batoul and M. Oulne have contributed equally to this work.

Authors and Affiliations

  1. High Energy Physics and Astrophysics Laboratory, Department of Physics, Faculty of Sciences Semlalia, Cadi Ayyad University, 40000, Marrakesh, Morocco

    M. El Adri, Y. El Bassem, A. El Batoul & M. Oulne

  2. ERMAM, Polydisciplinary Faculty of Ouarzazate, Ibn Zhor University, P.O.B 638, Ouarzazate, Morocco

    Y. El Bassem

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  1. M. El Adri
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Correspondence to M. El Adri.

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El Adri, M., El Bassem, Y., El Batoul, A. et al. Probing isoscalar giant monopole resonance in axially and triaxially deformed zirconium isotopes. Eur. Phys. J. Plus 139, 75 (2024). https://doi.org/10.1140/epjp/s13360-024-04887-9

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