PARTICLE NUMBER CONSERVING APPROACH TO CORRELATIONS

In the present work the so-called Higher Tamm-Dancoff Approximation method is presented for the generalized case of isovector and isoscalar residual interactions treated simultaneously. The role of different particle-hole excitations and of proton-neutron pairing correlations in the ground state of the self-conjugate 64 Ge nucleus is discussed.

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PARTICLE-NUMBER CONSERVING TREATMENT FOR THE GROUND STATE BANDS IN EVEN-EVEN TRANSFERMIUM NUCLEI

International Journal of Modern Physics E ◽

10.1142/s0218301308011860 ◽

2008 ◽

Vol 17 (supp01) ◽

pp. 208-218 ◽

Cited By ~ 3

Author(s):

XIAO-TAO HE ◽

ZHONG-ZHOU REN

Keyword(s):

Angular Momentum ◽

Shell Model ◽

Single Particle ◽

Ground State ◽

Particle Number ◽

Rotational Frequency ◽

Moment Of Inertia ◽

Particle Level ◽

Pairing Correlations ◽

Band Crossing

The ground state bands observed in even-even transfermium nuclei 250 Fm and 252,254 No are investigated by the cranked shell model with the particle-number conserving treatment for the monopole and quadrupole pairing correlations. The experimental variations of the kinematic moment of inertia with rotational frequency are reproduced very well in our calculation. Our results show bankbendings of [Formula: see text] at ħω ≈ 0.275 and 0.300 MeV in 252 No and 254 No , respectively. The detailed information about the contribution to alignment from each cranked single particle level exhibits that the backbending is mainly due to the rapidly aligned angular momentum of proton 1j15/2 [770]1/2 pairs and neutron 2h11/2 [761]3/2, 1j15/2 [734]9/2 pairs the band crossing.

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Disappearance of pairing correlations in a rotating nucleus and the role of particle-number projection discussed within a solvable model

Nuclear Physics A ◽

10.1016/0375-9474(85)90546-9 ◽

1985 ◽

Vol 436 (1) ◽

pp. 139-164 ◽

Cited By ~ 35

Author(s):

W. Nazarewicz ◽

J. Dudek ◽

Z. Szymański

Keyword(s):

Particle Number ◽

Solvable Model ◽

Pairing Correlations

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EFFECTS OF VIBRATIONAL AND PAIRING CORRELATIONS ON ISOSPIN MIXING IN THE HIGHER TAMM-DANCOFF APPROXIMATION

International Journal of Modern Physics E ◽

10.1142/s0218301310014984 ◽

2010 ◽

Vol 19 (04) ◽

pp. 568-574 ◽

Cited By ~ 1

Author(s):

JULIEN LE BLOAS ◽

LUDOVIC BONNEAU ◽

PHILIPPE QUENTIN ◽

JOHANN BARTEL ◽

DANIEL STROTTMAN

Keyword(s):

Fermi Surface ◽

Quadrupole Interaction ◽

Ground State ◽

Particle Number ◽

Pauli Principle ◽

Ground State Solution ◽

Expectation Value ◽

Pairing Correlations ◽

Consistent Treatment ◽

Variation Technique

In the framework of the Higher Tamm-Dancoff Approximation which allows for a consistent treatment of pairing and quadrupole vibrational correlations preserving the particle-number symmetry and the Pauli principle, we compare the isospin content of ground and excited Kπ = 0+ states including either type of the above mentioned correlations using an approximate projection-after-variation technique for isospin. The pairing correlations are described with a delta interaction using the same strength in the T = 0 and T = 1 channels, whereas the vibrational correlations are treated with an isoscalar quadrupole-quadrupole interaction. As a first study, we apply this approach in the N = Z, even-even 16 O nucleus. For the same amount of correlations measured by the diffusivity of Fermi surface or depletion of particle-hole vacuum in the ground-state solution, we find very similar isospin mixing in the ground state for both types of correlations, but different patterns for the distribution in the calculated solutions of the expectation value of the square of the isospin operator.

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Pairing correlations and symmetries in odd-A nuclei.

EPJ Web of Conferences ◽

10.1051/epjconf/201817802002 ◽

2018 ◽

Vol 178 ◽

pp. 02002 ◽

Cited By ~ 1

Author(s):

J. Luis Egido ◽

Marta Borrajo

Keyword(s):

Angular Momentum ◽

Particle Number ◽

Mean Field ◽

Field Approximation ◽

Mean Field Approximation ◽

Angular Momentum Projection ◽

Hartree Fock ◽

Pairing Correlations ◽

Highly Correlated

The pairing correlations in odd-A nuclei are analyzed in the mean field approximation and beyond. In particular the role of symmetry conservation is investigated. We find that particle number projection after the variation (PN-PAV) has little effect on the pairing correlations specially in the weak pairing regime. This is in contrast to the variation after particle number projection (PN-VAP) approach where a strong effect is found. The situation is specially critical in odd nuclei because the pairing correlations vanish due to the blocking effect and the Hartree-Fock-Bogoliubov wave function collapses to the Hartree-Fock one. The PN-VAP, however, handles perfectly the exact blocking providing highly correlated wave functions. The role of the angular momentum projection is studied only in the PAV approach. We find small changes of the pairing correlation, at least at small angular momentum. In the calculations we use the Gogny interaction well suited to this kind of studies.

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The role of water and influence of hydrogen bonding on the self-assembly aggregation induced emission of an anthracene-guanidine-derivative

Chemical Communications ◽

10.1039/d0cc00990c ◽

2020 ◽

Vol 56 (29) ◽

pp. 4102-4105 ◽

Cited By ~ 3

Author(s):

Pedro J. Pacheco-Liñán ◽

Cristina Martín ◽

Carlos Alonso-Moreno ◽

Alberto Juan ◽

Daniel Hermida-Merino ◽

...

Keyword(s):

Hydrogen Bonding ◽

Ground State ◽

Self Assembly ◽

Environmentally Friendly ◽

The Self ◽

Water Molecules ◽

Aggregation Induced Emission ◽

Guanidine Derivative ◽

New Framework

New AIEGen was obtained (QY = 1) based on the formation of an aggregate-dimer in the ground state assisted by water molecules. The inclusion of guanidine group is crucial to open a new framework for developing more environmentally friendly AIEGen.

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