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The astrophysical $S$-factor of $E$1 transition for $^{12}$C($\alpha$,$\gamma_0$)$^{16}$O is discussed in the $R$-matrix theory. The reduced $\alpha$-particle widths of the 1$^-_1$ ($E_x= 7.12$ MeV) and 1$^-_2$ ($E_x= 9.59$ MeV) states are…

Nuclear Theory · Physics 2017-08-08 M. Katsuma

Recent theoretical developments in using the Interacting Boson Model to describe nuclear structure effects in fusion reactions below the Coulomb barrier are reviewed. Methods dealing with linear and all orders coupling between the nuclear…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , S. Kuyucak

The understanding of the fusion probability is of particular importance to reveal the mechanism of producing superheavy elements. We present a microscopic study of the compound nucleus formation by combining time-dependent density…

Nuclear Theory · Physics 2022-07-27 Xiang-Xiang Sun , Lu Guo

We provide a theoretical analysis of recently measured fusion cross sections which show a surprising enhancement at low $E_\mathrm{c.m.}$ energies for the system $^{132}$Sn+$^{40}$Ca as compared to the more neutron-rich system…

Nuclear Theory · Physics 2013-03-12 V. E. Oberacker , A. S. Umar

We use the Fisher-matrix formalism to investigate whether the galaxy bispectrum in redshift space, $B$, contains additional cosmological information with respect to the power spectrum, $P$. We focus on a $Euclid$-like survey and consider…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-10 Victoria Yankelevich , Cristiano Porciani

Fusion of very neutron rich nuclei may be important to determine the composition and heating of the crust of accreting neutron stars. Fusion cross sections are calculated using time-dependent Hartree-Fock theory coupled with…

Nuclear Theory · Physics 2012-05-08 A. S. Umar , V. E. Uberacker , C. J. Horowitz

A systematic analysis of the fusion cross sections around the Coulomb barrier energies with stable weakly bound ($^{6}$Li,$^{7}$Li,$^{9}$Be) and strongly bound $^{12}$C projectiles on various targets was performed by using neutron flow…

Nuclear Theory · Physics 2022-12-02 S. Appannababu , V. V. Parkar , V. Jha , S. Kailas

We extend a recent study that explained the steep falloff in the fusion cross section at energies far below the Coulomb barrier for the symmetric dinuclear system 64Ni+64Ni to another symmetric system, 58Ni+58Ni, and the asymmetric system…

Nuclear Theory · Physics 2008-11-26 S. Misicu , H. Esbensen

A multi-channel algebraic scattering theory has been used to study the properties of nucleon scattering from 12C and of the sub-threshold compound nuclear states, accounting for properties in the compound nuclei to ~10 MeV. All compound and…

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

A new method is introduced to study three-body clusters. Triangular configurations with ${\cal D}_{3h}$ point-group symmetry are analyzed. The spectrum, transition form factors and $B(E\lambda)$ values of $^{12}$C are investigated. It is…

Nuclear Theory · Physics 2009-11-07 R. Bijker , F. Iachello

The $^{12}$C($\alpha,\gamma$)$^{16}$O reaction has a key role in nuclear astrophysics. A multilevel R-matrix analysis was used to make extrapolations of the astrophysical S factor for this reaction to the stellar energy of 300 keV. The…

Nuclear Experiment · Physics 2018-09-28 R. J. Holt , B. W. Filippone , Steven C. Pieper

The hindrance in fusion of heavy-ion reactions crops up in the region of extreme sub-barrier energies. This phenomenon can be effectively analyzed using a simple diffused barrier formula derived assuming a Gaussian distribution of fusion…

Nuclear Theory · Physics 2023-04-25 Vinay Singh , Joydev Lahiri , Partha Roy Chowdhury , D. N. Basu

Background: The density dependence of nuclear symmetry energy is crucial in determining several properties of finite nuclei to the neutron stars with mass $\sim$ 1.4 $M_\odot$. The values of neutron skin thickness, isovector giant dipole…

Nuclear Theory · Physics 2023-03-23 T. Ghosh , Sangeeta , G. Saxena , B. K. Agrawal , Ushasi Datta

Antisymmetrized molecular dynamics with quantum branching is generalized so as to allow finite time duration of the unrestricted coherent mean field propagation which is followed by the decoherence into wave packets. In this new model, the…

Nuclear Theory · Physics 2011-08-04 Akira Ono , S. Hudan , A. Chbihi , J. D. Frankland

Carbon-carbon burning plays an important role in many stellar environments. Recently, using the indirect Trojan horse method A. Tumino {\em et al.} reported [Nature {\bf 557} 687 (2018)] a strong rise of the astrophysical factor for the…

Nuclear Theory · Physics 2019-07-03 A. M. Mukhamedzhanov , D. Y. Pang

The C12+C12 fusion cross sections show resonant behavior down to the lowest energies accessible so far in the laboratory. If this tendency continues into the astrophysical energy range, the stellar C12+C12 reaction rates have to be…

Nuclear Theory · Physics 2016-09-08 R. Cussons , K. Langanke , T. Liolios

The properties of the stellar cluster surrounding Sagittarius A* can be assessed indirectly through the motion of the S-stars. Specifically, the current accuracy to which the prograde precession of the S2 star is measured allows to place…

Astrophysics of Galaxies · Physics 2025-03-06 Yotam Ashkenazy , Shmuel Balberg

Scattering from a compound barrier, one composed of a number of distinct non-overlapping sub-barriers, has a number of interesting and subtle mathematical features. If one is scattering classical particles, where the wave aspects of the…

Mathematical Physics · Physics 2012-02-23 Petarpa Boonserm , Matt Visser

The unique resonance features in the $^{12}$C+$^{12}$C fusion reaction lead to significant fluctuations in the branching ratio $R_{p/\alpha}=\sigma_p/\sigma_\alpha$, making it difficult to determine the $R_{p/\alpha}$ at astrophysical…

Nuclear Theory · Physics 2026-05-19 Ruojun Yang , Ruiqi Chen , Xiao Fang , Yihua Fan , Xiaodong Tang , Yunju Li , Fengqiao Luo

We study the nonresonant part of the $^7$Be($p,\gamma$)$^8$B reaction using a three-cluster resonating group model that is variationally converged and virtually complete in the $^4$He+$^3$He+$p$ model space. The importance of using adequate…

Nuclear Theory · Physics 2009-09-25 A. Csoto , K. Langanke , S. E. Koonin , T. D. Shoppa
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