scholarly journals Continuum particle-vibration coupling method in coordinate-space representation for finite nuclei

2012 ◽  
Vol 86 (3) ◽  
Author(s):  
Kazuhito Mizuyama ◽  
Gianluca Colò ◽  
Enrico Vigezzi
Keyword(s):  
Coupling Method ◽  
Space Representation ◽  
Coordinate Space ◽  
Vibration Coupling ◽  
Finite Nuclei

scholarly journals Coordinate space representation for renormalization of quantum electrodynamics

2021 ◽  
Vol 136 (2) ◽  
Author(s):  
Amirhosein Mojavezi ◽  
Reza Moazzemi ◽  
Mohammad Ebrahim Zomorrodian
Keyword(s):  
Quantum Electrodynamics ◽  
Space Representation ◽  
Coordinate Space

scholarly journals Revisiting spin-dependent forces mediated by new bosons: Potentials in the coordinate-space representation for macroscopic- and atomic-scale experiments

2019 ◽  
Vol 99 (2) ◽  
Author(s):  
Pavel Fadeev ◽  
Yevgeny V. Stadnik ◽  
Filip Ficek ◽  
Mikhail G. Kozlov ◽  
Victor V. Flambaum ◽  
...  
Keyword(s):  
Atomic Scale ◽  
Space Representation ◽  
Coordinate Space

TICC2 STATE-DEPENDENT CORRELATIONS IN NUCLEI

2003 ◽  
Vol 17 (28) ◽  
pp. 5203-5207 ◽  
Author(s):  
I. MOLINER
Keyword(s):  
Wave Function ◽  
Cluster Method ◽  
Coupled Cluster ◽  
Coordinate Space ◽  
Coupled Cluster Method ◽  
State Dependent ◽  
Higher Order Terms ◽  
Finite Nuclei ◽  
Ground State Energies

We use the TICC2, a translationally invariant reformulation of the coupled cluster method (CCM) at the sub(2) level, to study finite nuclei within the p-shell. These nuclei were previously studied with the linearised TICI2 wave function, but the role of the higher order terms had not been discussed for nuclei. We shall include the quadratic terms of the wave function within a coordinate-space implementation of the method, and consider state-dependent correlations with the same structure as the semi-realistic interactions used. Using CCM techniques and gaussian expansions we compute the ground-state energies of these nuclei.

scholarly journals Boundary conformal field theory at the extraordinary transition: The layer susceptibility to O(ε)

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
M. A. Shpot
Keyword(s):  
General Structure ◽  
Mean Field ◽  
Integral Transforms ◽  
Nucl Phys ◽  
Space Representation ◽  
Coordinate Space ◽  
Operator Product ◽  
Conformal Field ◽  
Starting Point ◽  
Loop Approximation

Abstract We present an analytic calculation of the layer (parallel) susceptibility at the extraordinary transition in a semi-infinite system with a flat boundary. Using the method of integral transforms put forward by McAvity and Osborn [Nucl. Phys. B455 (1995) 522] in the boundary CFT, we derive the coordinate-space representation of the mean-field propagator at the transition point. The simple algebraic structure of this function provides a practical possibility of higher-order calculations. Thus we calculate the explicit expression for the layer susceptibility at the extraordinary transition in the one-loop approximation. Our result is correct up to order O(ε) of the ε = 4 − d expansion and holds for arbitrary width of the layer and its position in the half-space. We discuss the general structure of our result and consider the limiting cases related to the boundary operator expansion and (bulk) operator product expansion. We compare our findings with previously known results and less complicated formulas in the case of the ordinary transition. We believe that analytic results for layer susceptibilities could be a good starting point for efficient calculations of two-point correlation functions. This possibility would be of great importance given the recent breakthrough in bulk and boundary conformal field theories in general dimensions.

LINEAR RESPONSE CALCULATION USING CANONICAL-BASIS TDHFB WITH A SCHEMATIC PAIRING FUNCTIONAL

2010 ◽  
Vol 25 (21n23) ◽  
pp. 2001-2002
Author(s):  
SHUICHIRO EBATA ◽  
T. NAKATSUKASA ◽  
T. INAKURA ◽  
Y. HASHIMOTO ◽  
K. YABANA
Keyword(s):  
Canonical Basis ◽  
Three Dimensional ◽  
Energy Functional ◽  
Time Dependent ◽  
Space Representation ◽  
Coordinate Space ◽  
Magnesium Isotopes ◽  
Hartree Fock ◽  
Strength Functions ◽  
Three Dimensional Coordinate

We derive the Canonical-basis Time-Dependent Hartree-Fock-Bogoliubov (CbTDHFB) equations using time-dependent variational principle with a special pairing energy functional. We obtain the isoscalar quadrupole strength functions for Magnesium isotopes with small-amplitude CbTDHFB calculation in the three-dimensional coordinate-space representation.

scholarly journals Signature-dependent triaxiality for shape evolution from superdeformation in rapidly rotating 40Ca and 41Ca

2020 ◽  
Vol 2020 (6) ◽  
Author(s):  
Shinkuro Sakai ◽  
Kenichi Yoshida ◽  
Masayuki Matsuo
Keyword(s):  
Density Functional ◽  
Density Functional Method ◽  
Three Dimensional ◽  
Decisive Role ◽  
Functional Method ◽  
Space Representation ◽  
Coordinate Space ◽  
Shape Evolution ◽  
Energy Density Functional ◽  
Collective Rotation

Abstract We investigate the possible occurrence of highly elongated shapes near the yrast line in $^{40}$Ca and $^{41}$Ca at high spins on the basis of the nuclear energy-density functional method. Both the superdeformed (SD) yrast configuration and the yrare configurations on top of the SD band are described by solving the cranked Skyme–Kohn–Sham equation in the three-dimensional coordinate space representation. It is suggested that some of the excited SD bands undergo band crossings and develop to hyperdeformation (HD) beyond $J \simeq 25 \hbar$ in $^{40}$Ca. We find that the change of triaxiality in response to rotation plays a decisive role in the shape evolution towards HD, and that this is governed by the signature quantum number of the last occupied orbital at low spins. This mechanism can be verified in an experimental observation of the positive-parity SD yrast signature-partner bands in $^{41}$Ca, one of which ($\alpha=+1/2$) undergoes crossings with the HD band, while the other ($\alpha=-1/2$) shows smooth evolution from collective rotation at low spins to non-collective rotation with an oblate shape at termination.

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