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An excited state of $^{12}$C having excitation energy E$_x \sim$ 9.65 $\pm$ 0.02 MeV and width (FWHM) $\sim607\pm$ 55 keV, which decays to three $ \alpha $-particles via Hoyle state ($E_x \sim$ 7.65 MeV), has been directly identified for…

The Hoyle state plays a crucial role in the hydrogen burning of stars heavier than our sun and in the production of carbon and other elements necessary for life. This excited state of the carbon-12 nucleus was postulated by Hoyle [1] as a…

Nuclear Theory · Physics 2015-03-17 Evgeny Epelbaum , Hermann Krebs , Dean Lee , Ulf-G. Meißner

One of the prominent decay modes of heavy nuclei which are produced in astrophysical environments at temperatures of the order of $10^9$ K is the $\alpha$ ($^4$He) decay. Thermally enhanced $\alpha$ decay rates are evaluated within the…

Nuclear Theory · Physics 2022-12-09 J. E. Perez Velasquez , O. L. Caballero , N. G. Kelkar

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…

The linear-chain states of $^{16}$C and their decay modes are theoretically investigated by using the antisymmetrized molecular dynamics. It is found that the positive-parity linear-chain states have the $(3/2^-_\pi)^2(1/2^-_\sigma)^2$…

Nuclear Theory · Physics 2018-05-23 Tomoyuki Baba , Masaaki Kimura

We find that the abundance of large clusters of nucleons in neutron-rich matter at sub-nuclear density is greatly reduced by finite temperature effects when matter is close to beta-equilibrium. Large nuclei and exotic non-spherical nuclear…

High Energy Astrophysical Phenomena · Physics 2018-04-25 Alessandro Roggero , Jérôme Margueron , Luke F. Roberts , Sanjay Reddy

The root mean square radii of $^{20}$Ne in the short-lived excited states were experimentally deduced for the first time from the analyses of $\alpha$+$^{20}$Ne diffraction scattering. Differential cross sections of the elastic and…

Nuclear Experiment · Physics 2022-06-22 A. S. Demyanova , A. N. Danilov , S. A. Goncharov , V. I. Starastsin , T. I Leonova

Since the pioneering discovery, half a century ago, of 12C+12C molecular resonances, a great deal of research work has been undertaken in theSince the pioneering discovery, half a century ago, of 12C+12C molecular resonances, a great deal…

Nuclear Theory · Physics 2015-06-15 C. Beck

An effective field theory of $\alpha$ cluster condensation is formulated as a spontaneously broken symmetry in quantum field theory to understand the raison d'etre and nature of the Hoyle and $\alpha$ cluster states in $^{12}$C. The…

Nuclear Theory · Physics 2016-07-27 Y. Nakamura , J. Takahashi , Y. Yamanaka , S. Ohkubo

We demonstrate that nascent polymer crystals (i.e., nuclei) are anisotropic entities, with neither spherical nor cylindrical geometry, in contrast to previous assumptions. In fact, cylindrical, spherical, and other high symmetry geometries…

Soft Condensed Matter · Physics 2020-01-08 Kyle Wm. Hall , Timothy W. Sirk , Simona Percec , Michael L. Klein , Wataru Shinoda

The correlation of $\alpha\alpha$ was probed via measuring the transverse momentum $p_{T}$ and width $\delta p_{T}$ of one $\alpha$, for the first time, which represents the spatial and dynamical essentialities of the initial coupling state…

A fluid in equilibrium in a finite volume $V$ with particle number $N$ at a density $\rho = N/V$ exceeding the onset density $\rho_f $ of freezing may exhibit phase coexistence between a crystalline nucleus and surrounding fluid. Using a…

Statistical Mechanics · Physics 2015-06-23 Antonia Statt , Peter Virnau , Kurt Binder

Knowledge of the low-lying monopole strength in $\mathrm{^{12}C}$, the Hoyle state in particular, is crucial for our understanding of both the astrophysically important $3\alpha$ reaction and of $\alpha$-particle clustering. The…

Alpha emission from a nucleus is a fundamental decay process in which the alpha particle formed inside the nucleus tunnels out through the potential barrier. We describe alpha decay of $^{212}$Po and $^{104}$Te by means of the configuration…

Nuclear Theory · Physics 2012-10-01 R. Id Betan , W. Nazarewicz

The structure of $1/2^{\pm}$ states in $^{13}$C up to around the $3\alpha+n$ threshold ($E_x = 12.3$~MeV) is investigated with a full four-body $3\alpha+n$ orthogonality condition model (OCM) calculation, where the $3\alpha$ OCM, the model…

Nuclear Theory · Physics 2015-10-28 Taiichi Yamada , Yasuro Funaki

Properties of intermediate mass nuclei have been investigated within the framework of the alpha-cluster model in combination with systematic double-folding potentials. Previously, this alpha-cluster model has been widely applied to light…

Nuclear Theory · Physics 2008-03-21 Peter Mohr

In this Letter, we report on alpha particle emission through the nuclear break-up in the reaction 40Ca on a 40Ca target at 50A MeV. It is observed that, similarly to nucleons, alpha particles can be emitted to the continuum with very…

We investigate the $\alpha$+\oo\ cluster structure in the inversion-doublet band ($K^\pi=0_{1}^\pm$) states of \nene\ with an angular-momentum-projected version of the Tohsaki-Horiuchi-Schuck-R\"{o}pke (THSR) wave function, which was…

Nuclear Theory · Physics 2013-07-02 Bo Zhou , Y. Funaki , H. Horiuchi , Zhongzhou Ren , G. Röpke , P. Schuck , A. Tohsaki , Chang Xu , T. Yamada

Experimental analyses of moderate temperature nuclear gases produced in the violent collisions of 35 MeV/nucleon$^{64}$Zn projectiles with $^{92}$Mo and $^{197}$Au target nuclei reveal a large degree of alpha particle clustering at low…

Recent experimental efforts were made to explore the Bose-Einstein condensation in multi-$\alpha$ system using the heavy-ion collisions. This Letter provides a explanation why no signatures were observed and a guidance for future…

Nuclear Theory · Physics 2023-06-14 Jun Su , Long Zhu