Symmetry restoration in the mean-field description of proton-neutron pairing

被引：24

作者：

Romero, A. M. ^{[1
]}

Dobaczewski, J. ^{[1
,2
,3
]}

Pastore, A. ^{[1
]}

机构：

[1] Univ York, Dept Phys, York YO10 5DD, N Yorkshire, England

[2] Univ Warsaw, Fac Phys, Inst Theoret Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland

[3] Univ Helsinki, Helsinki Inst Phys, POB 64, FI-00014 Helsinki, Finland

来源：

PHYSICS LETTERS B | 2019年 / 795卷

关键词：

Mean field; Proton-neutron pairing; Isoscalar pairing; Symmetry restoration; Pair-transfer amplitudes; SO(8) pairing model; NUCLEI; ROTATIONS; STATES;

D O I：

10.1016/j.physletb.2019.06.032

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that the symmetry-restored paired mean-field states (quasiparticle vacua) properly account for isoscalar versus isovector nuclear pairing properties. Full particle-number, spin, and isospin symmetries are restored in a simple SO(8) proton-neutron pairing model, and prospects to implement a similar approach in a realistic setting are delineated. Our results show that, provided all symmetries are restored, the pictures based on pair-condensate and quartet-condensate wave functions represent equivalent ways of looking at the physics of nuclear proton-neutron pairing. (C) 2019 The Author(s). Published by Elsevier B.V.

引用

页码：177 / 182

页数：6

共 39 条

[1] Configuration mixing of angular momentum projected self-consistent mean-field states for neutron-deficient Pb isotopes [J].

Bender, M ;

Bonche, P ;

Duguet, T ;

Heenen, PH .

PHYSICAL REVIEW C, 2004, 69 (06) :064303-1

[2] Nonlocal energy density functionals for pairing and beyond-mean-field calculations [J].

Bennaceur, K. ;

Idini, A. ;

Dobaczewski, J. ;

Dobaczewski, P. ;

Kortelainen, M. ;

Raimondi, F. .

JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2017, 44 (04)

[3] POSSIBLE ANALOGY BETWEEN THE EXCITATION SPECTRA OF NUCLEI AND THOSE OF THE SUPERCONDUCTING METALLIC STATE [J].

BOHR, A ;

MOTTELSON, BR ;

PINES, D .

PHYSICAL REVIEW, 1958, 110 (04) :936-938

[4] PAIRING VIBRATIONAL AND ISOSPIN ROTATIONAL STATES IN A PARTICLE NUMBER AND ISOSPIN PROJECTED GENERATOR COORDINATE METHOD [J].

CHEN, HT ;

MUTHER, H ;

FAESSLER, A .

NUCLEAR PHYSICS A, 1978, 297 (03) :445-470

[5] Boson mappings and four-particle correlations in algebraic neutron-proton pairing models [J].

Dobes, J ;

Pittel, S .

PHYSICAL REVIEW C, 1998, 57 (02) :688-703

[6] Neutron-proton correlations in an exactly solvable model [J].

Engel, J ;

Pittel, S ;

Stoitsov, M ;

Vogel, P ;

Dukelsky, J .

PHYSICAL REVIEW C, 1997, 55 (04) :1781-1788

[7] ISOVECTOR AND ISOSCALAR PAIRING CORRELATIONS IN A SOLVABLE MODEL [J].

EVANS, JA ;

DUSSEL, GG ;

MAQUEDA, EE ;

PERAZZO, RPJ .

NUCLEAR PHYSICS A, 1981, 367 (01) :77-94

[8] QUASI-SPIN IN LS COUPLING [J].

FLOWERS, BH ;

SZPIKOWSKI, S .

PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1964, 84 (5415) :673-+

[9] Overview of neutron-proton pairing [J].

Frauendorf, S. ;

Macchiavelli, A. O. .

PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, 2014, 78 :24-90

[10] ENHANCEMENT OF DEUTERON TRANSFER REACTIONS BY NEUTRON-PROTON PAIRING CORRELATIONS [J].

FROBRICH, P .

PHYSICS LETTERS B, 1971, B 37 (04) :338-&

← 1 2 3 4 →