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Nuclear clustering describes the appearance of structures resembling smaller nuclei such as alpha particles (4He nuclei) within the interior of a larger nucleus. While clustering is important for several well-known examples, much remains to…

Form factors for $\alpha+{^{12}}$C inelastic scattering are obtained within two theoretical ($\alpha+\alpha+\alpha$) approaches: The hyperspherical framework for three identical bosons, and the algebraic cluster model assuming the $D_{3h}$…

Nuclear Theory · Physics 2019-12-12 J. Casal , L. Fortunato , A. Vitturi , E. G. Lanza

The carbon atom provides the backbone for the complex organic chemistry composing the building blocks of life. The physics of the carbon nucleus in its predominant isotope, $^{12}$C, is similarly full of multifaceted complexity. Some…

Nuclear Theory · Physics 2023-05-18 Shihang Shen , Serdar Elhatisari , Timo A. Lähde , Dean Lee , Bing-Nan Lu , Ulf-G. Meißner

Cluster structures of excited $^{10}$Be states are investigated with a hybrid model of dineutron condensate wave functions and $^6$He+$\alpha$ cluster wave functions. Two kinds of cluster states are theoretically suggested a few MeV above…

Nuclear Theory · Physics 2015-06-11 Fumiharu Kobayashi , Yoshiko Kanada-En'yo

We present for the first time evidence for the existence of a dynamically refracted primary bow for $^{9}$Be+$^{16}$O scattering. This is demonstrated through the use of coupled channel calculations with an extended double folding potential…

Nuclear Theory · Physics 2016-09-28 S. Ohkubo , Y. Hirabayashi

When the density of a nuclear system is decreased, homogeneous states undergo the so-called Mott transition towards clusterised states, e.g. alpha clustering, both in nuclei and in nuclear matter. Here we investigate such a quantum phase…

Nuclear Theory · Physics 2020-07-15 J. -P. Ebran , M. Girod , E. Khan , R. D. Lasseri , P. Schuck

The existence of a supernumerary nuclear rainbow in inelastic scattering is reported. This is done by studying inelastic $^{16}$O scattering from $^{12}$C, exciting the $2^+$ (4.44 MeV) state of $^{12}$C and elastic scattering at the…

Nuclear Theory · Physics 2017-08-16 S. Ohkubo , Y. Hirabayashi , A. A. Ogloblin

Production of ensembles of $\alpha$-particle triples associated with the Hoyle state (the second excited state of the ${}^{12}$C nucleus) in peripheral dissociation of relativistic ${}^{12}$C nuclei is studied. Stacks of nuclear track…

Elastic $^{16}$O+$^{12}$C scattering is known to exhibit the nuclear rainbow pattern at incident energies $E_\text{lab}\gtrsim 200$ MeV, with the Airy structure of the far-side scattering cross section clearly seen at medium and large…

Nuclear Theory · Physics 2020-12-10 Nguyen Hoang Phuc , Dao T. Khoa , Nguyen Tri Toan Phuc

N-\alpha structures of light nuclei with axial symmetry are studied using relativistic Hartree approximation. Metastable excited states are searched in a configuration space which allows linear alpha chain structures. As a result, it is…

Nuclear Theory · Physics 2008-11-26 Suk-Ho Hong , Suk-Joon Lee

Dilute multi $\alpha$ cluster condensed states with spherical and axially deformed shapes are studied with the Gross-Pitaevskii equation and Hill-Wheeler equation, where the $\alpha$ cluster is treated as a structureless boson. Applications…

Nuclear Theory · Physics 2009-11-10 Taiichi Yamada , Peter Schuck

The discrete energy-eigenvalues of two nucleons interacting with a finite-range nuclear force and confined to a harmonic potential are used to numerically reconstruct the free-space scattering phase shifts. The extracted phase shifts are…

Nuclear Theory · Physics 2014-11-21 Thomas Luu , Martin Savage , Achim Schwenk , James P. Vary

This article comprises three sections. Section 2 starts with a review of ab initio no-core shell model calculations by Monte Carlo Shell Model. Alpha clustering arises for 8,10,12Be and 12C with Daejeon16 and JISP16 interactions, even in…

Nuclear Theory · Physics 2026-04-09 Takaharu Otsuka , Alexander Volya , Naoyuki Itagaki

Using phase-equivalent supersymmetric partner potentials, a general result from the inverse problem in quantum scattering theory is illustrated, i.e., that bound-state properties cannot be extracted from the phase shifts of a single partial…

Nuclear Theory · Physics 2009-11-10 J. -M. Sparenberg

The fragmentation of quasi-projectiles from the nuclear reaction $^{40}$Ca+$^{12}$C at 25 MeV per nucleon bombarding energy was used to produce $\alpha$-emission sources. From a careful selection of these sources provided by a complete…

Significant advances have been made in recent years in the exploration of clustering in light nuclei. This progress has arisen not only from the investigation of new systems, but also through the development and application of novel probes.…

Nuclear Experiment · Physics 2009-10-31 N. A. Orr

Properties of particle-unstable nuclei lying beyond the proton drip line can be ascertained by considering those (usually known) properties of its mirror neutron-rich system. We have used a multi-channel algebraic scattering theory to map…

Nuclear Theory · Physics 2009-11-11 L. Canton , G. Pisent , J. P. Svenne , K. Amos , S. Karataglidis

The experimental data on the $^{16}$O$+^{12}$C and $^{18}$O$+^{12}$C elastic scatterings and their optical model analysis are presented. Detailed and complete elastic angular distributions have been measured at the Strasbourg Vivitron…

Nuclear Experiment · Physics 2009-11-07 S. Szilner , M. P. Nicoli , Z. Basrak , R. M. Freeman , F. Haas , A. Morsad , M. E. Brandan , G. R. Satchler

The fragmentation of quasi-projectiles from the nuclear reaction 40Ca + 12C at 25 MeV/nucleon was used to produce alpha-emission sources. From a careful selection of these sources provided by a complete detection and from comparisons with…

The Bose-Einstein condensation of $\alpha$ partciles in the multicomponent environment of dilute, warm nuclear matter is studied. We consider the cases of matter composed of light clusters with mass numbers $A\leq 4$ and matter that in…

Nuclear Theory · Physics 2017-09-26 Xin-Hui Wu , Si-Bo Wang , Armen Sedrakian , Gerd Röpke