Beryllium-9 in Cluster Effective Field Theory

Andreatta, Paolo; Manzata, Carlo A.; Chen, Ji; Leidemann, Winfried; Orlandini, Giuseppina

doi:10.1007/978-3-030-32357-8_33

Cited by 3 publications

(1 citation statement)

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“…In order to obtain the ground state of the studied nuclei, we diagonalize the Hamiltonian on a nonsymmetrized hyperspherical harmonics (NSHH) basis in momentum space. The NSHH approach is based on the use of the hyperspherical harmonics basis without previous symmetrization [15][16][17][18], where the proper symmetry is then selected by means of the Casimir operator of the group of permutations of A objects. This approach is very useful for fermion (boson) systems with different masses as well as for mixed boson-fermion systems, due to its extra flexibility which allows to deal with different particle systems with the same code.…”

Section: Resultsmentioning

confidence: 99%

Beryllium-9 in cluster effective field theory

Filandri

Andreatta

Manzata

et al. 2020

SciPost Phys. Proc.

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We study the 9 Be ground-state energy with non-local αn and αα potentials derived from Cluster Effective Field Theory. The short-distance dependence of the interaction is regulated with a momentum cutoff. The potential parameters are fitted to reproduce the scattering length and effective range. We implement such potential models in a Non-Symmetrized Hyperspherical Harmonics (NSHH) code in momentum space. In addition we calculate ground-state energies of various alpha nuclei. Work is in progress on a calculation of the photodisintegration of 9 Be with the Lorentz Integral Transform (LIT) method.

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Section: Resultsmentioning

confidence: 99%

Beryllium-9 in cluster effective field theory

Filandri

Andreatta

Manzata

et al. 2020

SciPost Phys. Proc.

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Resonant and scattering states in the α+α system from the nonlocalized cluster model

Bai

Ren

2020

Phys. Rev. C

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The non-localized cluster model provides a new perspective on nuclear cluster effects and has been applied successfully to study cluster structures in various bound states and quasi-bound states (i.e., long-lived resonant states). In this work, we extend the application scope of the non-localized cluster model further to resonant and scattering states. Following the R-matrix theory, the configuration space is divided into the interior and exterior regions by a large channel radius such that the nuclear forces and the antisymmetrization effects become negligible between clusters in the exterior region. In the interior region, the picture of non-localized clustering is realized mathematically by adopting the Brink-Tohsaki-Horiuchi-Schuck-Röpke (Brink-THSR) wave functions as the bases to construct the interior wave functions. The Bloch-Schrödinger equation is used to match the interior wave functions continuously with the asymptotic boundary conditions of the resonant and scattering states at the channel radius, which leads eventually to solutions of the problem. As a first test of the formalism, the low-lying resonant states of 8 Be and the phase shifts of the α + α elastic scattering are studied. The numerical results agree well with the experimental data, which shows the validity of the theoretical framework. *

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