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Related papers: Decay and structure of the Hoyle state

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The wave function of the second $0^+$ state of $^{12}$C which was obtained long time ago by solving the microscopic 3$\alpha$ problem is shown to be almost completely equivalent to the wave function of the 3$\alpha$ condensed state which…

Nuclear Theory · Physics 2009-11-10 Y. Funaki , A. Tohsaki , H. Horiuchi , P. Schuck , G. Röpke

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

Based on the theoretical framework of generalized eikonal approximation we study the two-nucleon emission reactions in high $Q^2$ electro-disintegration of $^3He$. Main aim is to investigate those features of the reaction which can be…

Nuclear Theory · Physics 2009-11-11 M. M. Sargsian , T. V. Abrahamyan , L. L. Frankfurt , M. I. Strikman

Recent experimental results give an upper limit less than 0.043\% (95\% C.L.) to the direct decay of the Hoyle state into 3$\alpha$ respect to the sequential decay into $^8${Be}+$\alpha$. We performed one and two-dimensional tunneling…

Nuclear Theory · Physics 2018-03-01 H. Zheng , A. Bonasera , M. Huang , S. Zhang

The excited state of the 12C nucleus known as the "Hoyle state" constitutes one of the most interesting, difficult and timely challenges in nuclear physics, as it plays a key role in the production of carbon via fusion of three alpha…

Nuclear Theory · Physics 2012-12-20 Evgeny Epelbaum , Hermann Krebs , Timo Lähde , Dean Lee , Ulf-G. Meißner

The triple-$\alpha$ reaction from the ternary continuum states at off-resonant energies, $\alpha+\alpha+\alpha\rightarrow^{12}$C, remains an open question. This direct process is scrutinized using a non-adiabatic Faddeev hyperspherical…

Nuclear Theory · Physics 2025-06-30 M. Katsuma

The radiative branching ratio of the Hoyle state is crucial to estimate the triple-$\alpha$ reaction rate in stellar environments at medium temperatures of $T=0.1$ to 2 GK. Knowledge of the $\gamma$-decay channel is critical as this is the…

We have studied the three-particle decay of 12C, 9Be and 6Be resonances. These nuclei have been described as three-body systems by means of the complex scaled hyperspherical adiabatic expansion method. The short-distance part of the…

Nuclear Theory · Physics 2015-06-11 R. Alvarez-Rodriguez , A. S. Jensen , E. Garrido , D. V. Fedorov

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…

We investigate an implication of the most recent observation of a second $J^\pi = 2^+$ state in $^{12}$C, which was measured using the $^{12}$C($\gamma$,$\alpha$)$^8$Be$_{\textrm{(g.s.)}}$ reaction. In addition to the dissociation of…

Nuclear Experiment · Physics 2020-02-26 R. Smith , M. Gai , M. W. Ahmed , M. Freer , H. O. U. Fynbo , D. Schweitzer , S. R. Stern

Three-body decays of resonant states are studied using integral formulae for decay widths. Theoretical approach with a simplified Hamiltonian allows semianalytical treatment of the problem. The model is applied to decays of the first…

Nuclear Theory · Physics 2008-11-26 L. V. Grigorenko , M. V. Zhukov

The fragmentation of quasi-projectiles from the nuclear reaction $^{40}$Ca+$^{12}$C at 25 MeV/nucleon was used to produce excited states candidates to $\alpha$-particle condensation. Complete kinematic characterization of individual decay…

By using only a fraction of the model space extended beyond current no-core shell-model limits and a schematic effective many-nucleon interaction, we gain additional insight within a symmetry-guided shell-model framework, into the many-body…

We investigate resonance states in three-cluster continuum of some light nuclei $^{9}$Be, $^{9}$B, $^{10}$B, $^{11}$B and $^{11}$C. These nuclei are considered to have a three-cluster configuration consisting of two alpha-particles and…

Nuclear Theory · Physics 2018-09-12 V. S. Vasilevsky , K. Katō , N. Takibayev

We investigate the cluster structure of $\rm {}^{13}N$ using a microscopic $\alpha+\alpha+\alpha+p$ four-body cluster model. The calculated spectra agree well with the observed spectra in the low-lying states. We calculate the reduced width…

Nuclear Theory · Physics 2025-01-31 Ying-Yu Cao , De-Ye Tao , Bo Zhou , Yu-Gang Ma

The states with $J^\pi=0^+$, $2^+$, and $4^+$ of $^{12}$C with excitation energies less than about 15 MeV are investigated with the alpha condensate wave function with spatial deformation and by using the method of ACCC (analytic…

Nuclear Theory · Physics 2009-11-10 Y. Funaki , A. Tohsaki , H. Horiuchi , P. Schuck , G. Roepke

The algebraic molecular model is used in $^{12}$C to construct densities and transition densities connecting low-lying states of the rotovibrational spectrum, first and foremost those belonging to the rotational bands based on the ground…

Nuclear Theory · Physics 2019-09-12 A. Vitturi , J. Casal , L. Fortunato , E. G. Lanza

The $\alpha$-particle condensate in nuclei is a novel state described by a product state of $\alpha$'s, all with their c.o.m. in the lowest 0S orbit. We demonstrate that a typical $\alpha$-particle condensate is the Hoyle state…

Nuclear Theory · Physics 2015-05-27 T. Yamada , Y. Funaki , H. Horiuchi , G. Roepke , P. Schuck , A. Tohsaki

A detailed knowledge of the decay properties of the so called Hoyle state in the $^{12}$C nucleus ($E_x=7.654$ MeV, $0^+$) is required to calculate the rate at which carbon is forged in typical red-giant stars. This paper reports on a new…

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. Multiple…