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Nuclear Theory·nucl-th

Wednesday·April 17, 2019

11 papers—4 primary·7 cross-listed

All11Primary4Cross-lists7
  1. 01

    Large-amplitude quadrupole shape mixing probed by the reaction : a model analysis

    Koichi Sato · Takenori Furumoto · Yuma Kikuchi · Kazuyuki Ogata · Yukinori Sakuragi

    To discuss a possible observation of large-amplitude nuclear shape mixing by nuclear reaction, we employ a simple collective model and evaluate transition densities, with which the differential cross sections are obtained through the microscopic coupled-channel calculation. Assuming the spherical-to-prolate shape transition, we focus on large-amplitude shape mixing associated with the softness of the collective potential in the direction. We introduce a simple model based on the five-dimensional quadrupole collective Hamiltonian, which simulates a chain of isotopes that exhibit spherical-to-prolate shape phase transition. Taking Sm as an example and controlling the model parameters, we study how the large-amplitude shape mixing affects the elastic and inelastic proton scatterings. The calculated results suggest that the inelastic cross section of the state tells us an important role of the quadrupole shape mixing.

    nucl-thPTEP(2019)·2 citations
  2. 02

    Systematic study of proton radioactivity of spherical proton emitters within various versions of proximity potential formalisms

    Jun-Gang Deng · Xiao-Hua Li · Jiu-Long Chen · Jun-Hao Cheng · Xi-Jun Wu

    In this work we present a systematic study of the proton radioactivity half-lives of spherical proton emitters within the Coulomb and proximity potential model. We investigate 28 different versions of the proximity potential formalisms developed for the description of proton radioactivity, decay and heavy particle radioactivity. It is found that 21 of them are not suitable to deal with the proton radioactivity, because the classical turning points cannot be obtained due to the fact that the depth of the total interaction potential between the emitted proton and the daughter nucleus is above the proton radioactivity energy. Among the other 7 versions of the proximity potential formalisms, it is Guo2013 which gives the lowest rms deviation in the description of the experimental half-lives of the known spherical proton emitters. We use this proximity potential formalism to predict the proton radioactivity half-lives of 13 spherical proton emitters, whose proton radioactivity is energetically allowed or observed but not yet quantified, within a factor of 3.71.

    nucl-thnucl-exEPJA(2019)·27 citations
  3. 03

    Nonlocalized motion in two-dimensional container of particles in and states of C

    Bo Zhou🇯🇵 · Yasuro Funaki🇯🇵 · Hisashi Horiuchi🇯🇵 · Masaaki Kimura🇯🇵 · Zhongzhou Ren🇨🇳 · Gerd Röpke🇩🇪 · Peter Schuck🇫🇷 · Akihiro Tohsaki🇯🇵 · Chang Xu🇨🇳 · Taiichi Yamada🇯🇵

    The first and states of C are studied in the present container model, in which the shift parameter is introduced to break the parity symmetry for projecting out the negative-parity states. Taking the limit as the shift parameter approaches zero and by variational calculations for one-deformed size parameter, the local energy minima are obtained for the and states. It is found that the obtained single THSR (Tohsaki-Horiuchi-Schuck-Röpke) wave functions for and states are 96% and 92% equivalent to the corresponding GCM wave functions, respectively. The calculated intrinsic densities further show that these negative-parity states of three clusters, different with the traditional understanding of rigid triangle structure, are found to have nonlocalized clustering structure in the two-dimensional container picture.

    nucl-thPRC(2019)·14 citations
  4. 04

    Antisymmetrized, translationally invariant theory of the nucleon optical potential

    R.C.Johnson

    Earlier work showed how a nucleon optical model wave function could be defined as a projection of a many-nucleon scattering state within a translationally invariant second quantised many-body theory. In this paper an optical potential operator that generates this optical model wave function is defined through a particular off-shell extension of the elastic transition operator. The theory is express explicitly in terms of the many-nucleon Hamiltonian in a mixed representation in which localised target nucleus states feature. No reference to a mean-field concept is involved in the definition. It is shown that the resulting optical model operator satisfies the requirements of rotational and translational invariance and has standard behaviour under the time reversal transformation. The contributions to the optical potential from two different exchange mechanisms are expressed in terms of an effective Hamiltonian involving a nucleon-number conserving one-body interaction. In the weak-binding limit the method reduces to a a version of Feshbach's projection operator formulation of the optical potential with a truncated nucleon-nucleon potential including exchange terms and recoil corrections. Definitions of the nucleon single-particle Green's function and the corresponding Dyson self-energy modified by corrections for translational invariance are presented and different definitions of the optical potential operator are compared.

    nucl-thPRC(2019)·6 citations

Affiliations

first authorsco-authorsvia INSPIRE