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Angular momentum projection plays a key role in studying quantum many-body systems with rotational invariance such as atomic nuclei. At a given spin $J$, one can generate $2J+1$ angular momentum projected states labeled with $-J\leq K \leq…

Nuclear Theory · Physics 2024-09-09 Xiao Lu , Zhan-Jiang Lian , Zao-Chun Gao

Angular momentum projection is used to obtain eigen states of angular momentum from general wave functions. Multi-configuration mixing calculation with angular momentum projection is an important microscopic method in nuclear physics. For…

Nuclear Theory · Physics 2016-09-02 Yasutaka Taniguchi

Many atomic processes result in the emission of photons. Analysis of the properties of emitted photons, such as energy and angular distribution as well as polarization, is regarded as a powerful tool for gaining more insight into the…

Atomic Physics · Physics 2018-04-18 V. A. Zaytsev , A. S. Surzhykov , V. M. Shabaev , Th. Stöhlker

In this paper, an improvement has been made on the variation after projection (VAP) method, which is crucial in the calculations of high-spin states. It turns out that, the form of the trial VAP wave function with spin $J$ can be simplified…

Nuclear Theory · Physics 2022-01-05 Zao-Chun Gao

The nuclei $^4$He, $^8$Be, $^{12}$C and $^{16}$O have been studied starting from nucleon-nucleon interactions of $v_4$ type. The wave function is built as the product of three terms, a Jastrow correlation factor, a linear correlation factor…

Nuclear Theory · Physics 2007-05-23 E Buendia , F J Galvez , J Praena , A Sarsa

Atomic nuclei exhibit deformation, pairing correlations, and rotational symmetries. To meet these competing demands in a computationally tractable formalism, we revisit the use of general pair condensates with good particle number as a…

Nuclear Theory · Physics 2022-04-06 Yi Lu , Yang Lei , Calvin W. Johnson , Jia Jie Shen

We report the first study of restoration of rotational symmetry and fluctuations of the quadrupole deformation in the framework of relativistic mean-field models. A model is developed which uses the generator coordinate method to perform…

Nuclear Theory · Physics 2009-11-11 T. Niksic , D. Vretenar , P. Ring

By employing the angular momentum projection technique we propose a method to reliably calculate the quantum spectrum of nuclear collective rotation. The method utilizes several cranked mean-field states with different rotational…

Nuclear Theory · Physics 2019-12-06 Mitsuhiro Shimada , Shingo Tagami , Yoshifumi R. Shimizu

Angular-momentum-projected energy surface calculations for A~110 nuclei indicate three distinct energy minima occurring at different angular-momenta. These correspond to normal, super-, and hyper-deformed shapes coexisting in one nucleus.…

Nuclear Theory · Physics 2008-02-01 Yang Sun , Jing-ye Zhang , Gui-Lu Long , Cheng-Li Wu

Nuclear fission produces fragments whose spins are coupled to the relative angular motion via angular momentum conservation. It is shown how ensembles of such spins can readily be obtained by either direct microcanonical sampling or by…

Nuclear Theory · Physics 2022-11-30 Jorgen Randrup

A new explicitly correlated functional form for expanding the wave function of an N-particle system with arbitrary angular momentum and parity is presented. We develop the projection-based approach, numerically exploited in our previous…

Computational Physics · Physics 2020-08-12 Andrea Muolo , Markus Reiher

With modern computers we can compute nuclear many-body wave functions with an astounding number of component, $ > 10^{10}$. But, aside from reproducing and/or predicting experiments, what do we learn from vectors with tens of billions of…

Nuclear Theory · Physics 2017-08-08 Calvin W. Johnson

During nuclear fission, a heavy nucleus splits into two rotating fragments. The associated angular momentum is large, yet the mechanism of its generation and its dependence on the mass of fragments remain poorly understood. In this Letter,…

Nuclear Theory · Physics 2021-08-11 Petar Marević , Nicolas Schunck , Jorgen Randrup , Ramona Vogt

We review the current status of obtaining the spectroscopic information on the one-neutron halo nuclei from the Coulomb breakup reactions. The theory of these reactions formulated in the framework of the Distorted Wave Born Approximation,…

Nuclear Theory · Physics 2007-05-23 R. Shyam , R. Chatterjee

We show that a nearly perfect SU(3) symmetry emerges from an extended Projected Shell Model. Starting from a deformed potential we construct separate bases for neutron and proton collective rotational states by exact angular momentum…

Nuclear Theory · Physics 2009-11-06 Yang Sun , Cheng-Li Wu , Kumar Bhatt , Mike Guidry

Single-reference coupled-cluster theory is an accurate and affordable computational method for the nuclear many-body problem. For open-shell nuclei, the reference state typically breaks rotational invariance and angular momentum must be…

Nuclear Theory · Physics 2022-08-03 G. Hagen , S. J. Novario , Z. H. Sun , T. Papenbrock , G. R. Jansen , J. G. Lietz , T. Duguet , A. Tichai

A new method describing nuclear rotational motion microscopically is proposed. We extract the rotational Hamiltonian by introducing the intrinsic pair modes which commute with the rotational mode. Thereby the rotational mode is not treated…

Nuclear Theory · Physics 2017-03-08 Daisuke Hayashi , Makoto Ueno , Yoshinao Miyanishi

We explore the rotational feature of deformed halos by performing the angular momentum projection (AMP) on the ground state wave functions obtained from the deformed relativistic Hartree-Bogoliubov theory (DRHBc) in continuum. The DRHBc+AMP…

Nuclear Theory · Physics 2021-10-15 Xiang-Xiang Sun , Shan-Gui Zhou

Based on a relativistic mean-field theory with an effective point coupling between the nucleons, three-dimensional angular momentum projection is implemented for the first time to project out states with designed angular momentum from…

Nuclear Theory · Physics 2009-12-31 J. M. Yao , J. Meng , P. Ring , D. Pena Arteaga

Rotation of triaxially deformed nucleus has been an interesting subject in the study of nuclear structure. In the present series of work, we investigate wobbling motion and chiral rotation by employing the microscopic framework of…

Nuclear Theory · Physics 2018-02-21 Mitsuhiro Shimada , Yudai Fujioka , Shingo Tagami , Yoshifumi R. Shimizu
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