Symmetries in atomic nuclei: from phenomenology to microscopy  Page description

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Details of project

  
Identifier
128729
Type K
Principal investigator Cseh, József
Title in Hungarian Szimmetriák az atommagokban: a fenomenológiától a mikroszkópiáig
Title in English Symmetries in atomic nuclei: from phenomenology to microscopy
Keywords in Hungarian szimmetriák, az atommag szerkezete és reakciói, a magmodellek kapcsolata
Keywords in English symmetries, nuclear structure and reactions, connections of models
Discipline
Physics (Council of Physical Sciences)100 %
Ortelius classification: Nuclear physics
Panel Physics 1
Department or equivalent Theoretical nuclear physics research group (HUN-REN Institute for Nuclear Research)
Participants Algora, Pineda Alejandro
Darai, Judit
Kovács, József
Kruppa, András Tibor
Lévai, Géza
Riczu, Gábor
Starting date 2018-09-01
Closing date 2023-11-30
Funding (in million HUF) 17.900
FTE (full time equivalent) 19.05
state running project





 

Final report

  
Results in Hungarian
Új vonásait tártuk fel a magfizikai SU(3) szimmetriának: a spontán és duális sérülését, valamint a szimmetriasértő (Nilsson) Hamilton-operátorból eredő megjelenését. Kiterjesztettük alkalmazhatóságát a deformációs tengely mentén (stabil kvázidinamikai szimmetria, mint az alakizoméria jele), valamint nehéz magokra (pszeudo- és proxy-SU(3) kvartettek). Megmutattuk, hogy az alapvető magmodellek közös metszete az U(3)xU(3) többkonfigurációs dinamikai szimmetria (MUSY). Ez egységesen képes leírni a spektrumok különböző szegmenseit, ezért komoly előrejelzésekre képes. Néhány esetben jóslatait már igazolták a kísérletek. Leírtuk a MUSY logikai és matematikai szerkezetét, és összehasonlítottuk a szupeszimmetriáéval. Egyéb szimmetriákra vonatkozóan: Kísérleti bizonyítékot találtunk a spin-izospin pseudo-SU(4) szimmetriára. Kutatást indítottunk a szimmetriák és az összefonódottság viszonyának felderítésére. Potenciálproblémákat tanulmányoztunk, mind magfizikai (fázisátmenetek), mind általános kvantummechanikai (PT-invariancia) indíttatásból. Megmutattuk, hogy azok a tér-idő transzformációk, melyeket a Kepler-probléma O(4,2) dinamikai csoportja sugall leírják az exobolygó-rendszerek pályáit; és belőlük következik az (általánosított) Titius-Bode-szabály, melyet eddig empirikusnak tekintettünk.
Results in English
We have found new features of the nuclear SU(3) symmetry: spontaneous and dual breaking, its emergence from non-symmetric (Nilsson) Hamiltonian. We have extended its applicability along the deformation (stable quasidynamical symmetry, as signature of shape isomers) and to heavy nuclei (pseudo and proxy SU(3) quartets). We showed that the common intersection of the fundamental nuclear models for the many major-shell problem is an U(3)xU(3) symmetry, called multiconfigurational dynamical symmetry (MUSY), which can describe different segments of the spectra in a unified way, therefore, it has a considerable predictive power. In some cases its predictions have been justified by experiments. We have revealed the logical and mathematical background of MUSY, and compared it to those of the supersymmetry. Concerning other symmetries: We found experimental evidence for the validity of the pseudo-SU(4) spin-isospin symmetry. We initiated investigations to uncover the relation between symmetries and entanglement. We studied potential problems, both in nuclear physics, related to phase transitions, as well as in general quantum mechanics, with special attention on the PT invariance. We have shown that the space-time transformations inspired by the O(4,2) dynamical group of the Kepler problem reproduce the orbital regularity of the exo-planetary systems; and the empirical (generalized) Titius-Bode rule can be obtained from them.
Full text https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=128729
Decision
Yes





 

List of publications

  
G. Riczu (Supervisor: J. Cseh): Shell-like, collective and cluster features of nuclear spectra, PhD thesis, University of Debrecen, 2021
J. Cseh, G. Riczu, J. Darai: A Symmetry In-between the Shapes, Shells, and Clusters of Nuclei, Symmetry 15, 115, 2023
P. Dang, G. Riczu, J. Cseh: Shape isomers of α-like nuclei in terms of the multiconfigurational dynamical symmetry, Physical Review C 107, 044315, 2023
J. Cseh: On the Logical Structure of Composite Symmetries in Atomic Nuclei, Symmetry 15, 371, 2023
S. Baid, G. Lévai, J.M. Arias: Extended analytical solutions of the Bohr Hamiltonian with the sextic oscillator: Pt-Os isotopes, Journal of Physics G 50, 045104, 2023
G. Lévai: Potentials from the Polynomial Solutions of the Confluent Heun Equation, Symmetry 15, 461, 2023
J. Cseh: A spontán szimmetrisértés és az atommagok deformációja (Spontaneous symmetry breaking and the nuclear deformation), Fizikai Szemle 2020/6, 193, 2020
J. Cseh: Dual breaking of symmetries in algebraic models, European Physics Journal - Special Topics 229, 2543–2554, 2020
A. Martinou, D. Bonatsos, N. Minkov, I.E. Assimakis, S.K. Peroulis, S. Sarantopoulou, J. Cseh: Proxy-SU(3) symmetry in the shell model basis, European Physics Journal A 56, 239, 2020
J. Cseh: Microscopic structure and mathematical background of the multiconfigurational dynamical symmetry, Physical Review C 103, 064322, 2021
A. Vitéz-Sveiczer, A. Algora, et al: The β-decay of 70Kr into 70Br: Restoration of the pseudo-SU(4) symmetry, Physics Letters B 830, 137123, 2022
G. Riczu (Supervisor: J. Cseh): Magspektrumok héjszerű, kollektív és fürtösödő sajátosságai (Shell-like, collective and cluster features of nuclear spectra), PhD thesis, University of Debrecen, 2021
J. Cseh, P. Dang, S. Szilágyi, G. Lévai: Orbital regularity of exoplanets and the symmetries of the Kepler problem, Symmetry 15, 2114., 2023
P. Van Isacker, A. Algora, A. Vitéz-Sveiczer, G.G. Kiss, S.E.A. Orrigo, B. Rubio, P. Aguilera: Gamow–Teller Beta Decay and Pseudo-SU(4) Symmetry, Symmetry 2023, 15, 2001., 2023
G. Lévai, J.M. Arias: Nuclear Shape-Phase Transitions and the Sextic Oscillator, Symmetry 15,2059., 2023
J. Cseh, G. Riczu: Moment of inertia and dynamical symmetry, Symmetry 15, 2116., 2023
J. Cseh, G. Riczu, D.J. Jenkins: 12C and α-clusters, 0+ spectrum, and Hoyle-state candidates in 24Mg, Physical Review C submitted, 2023
T. Soltész, L. F. Pethő, G. Lévai: Unified supersymmetric description of shape-invariant potentials within, Physicsa Scripta submitted, 2023
G. Lévai: PT-Symmetric Potentials from the Confluent Heun Equation, Entropy 23, 68, 2021
J. Cseh: Planetary Systems and the Hidden Symmetries of the Kepler Problem, Symmetry 12, 2109, 2020
G. Riczu, J. Cseh: Gross features of the spectrum of the 36Ar nucleus, Int. J. Mod. Phys. E 30 2150034, 2021
J. Cseh: Égi harmónia és dinamikai algebra (Celestial harmony and dynamical algebra), Fizikai Szemle 71, 6, 181, 2021
A. Algora et al: Total absorption gamma-ray spectroscopy study of the β-decay of 186Hg, Physics Letters B 819 136438, 2021
J. Cseh: Wigner és a magfizika (Wigner and the nuclear physics), Hazalátogatott Wigner Jenő (Wigner Jenő visited home) Eds: K.Mihály et al, ELFT, 268, 2021
A.T. Kruppa, J. Kovács, P. Salamon, Ö. Legeza: Entanglement and correlation in two-nucleon systems, Journal of Physics G 48, 025107, 2021
J. Cseh: A Symmetry Connecting the Shell, Collective and Cluster Models, Bulgarian Journal of Physics vol. 48, 457–466, 2021
G. Riczu, J. Cseh: A Unified Description of Spectra of Different Configurations, Deformation and Energy Regions, Bulgarian Journal of Physics vol. 48, 524–534, 2021
A. Vitéz-Sveiczer, A. Algora, et al: The β-decay of 70Kr into 70Br: Restoration of the pseudo-SU(4) symmetry, Physics Letters B 830, 137123, 2022
A. T. Kruppa, J. Kovács, P. Salamon, Ö. Legeza, G. Zaránd: Entanglement and seniority, Physical Review C 106, 024303, 2022
J. Cseh: Some new chapters of the long history of SU(3), EPJ Web of Conferences 194, 05001, 2018
K.P. Drumev, A.I. Georgieva, J. Cseh, and V.K.B. Kota: Negative-parity states in sd-shell nuclei within the algebraic microscopic pairing- plus-quadrupole shell model, AIP Conference Proceedings 2075, 070002, 2019
J. Cseh: Spontaneous symmetry-breaking in Elliott-type models and the nuclear deformation, Physics Letters B 793, 59, 2019
J. Cseh, G. Riczu, J. Darai: Shape isomers of light nuclei from the stability and consistency of the SU(3) symmetry, Physics Letters B 795, 160, 2019
J. Cseh: Shell-like quarteting in heavy nuclei: Algebraic approaches based on the pseudo- and proxy-SU(3) schemes, Physical Review C 101, 054306, 2020
J. Cseh: A spontán szimmetrisértés és az atommagok deformációja, Fizikai Szemle 2020/6, 193, 2020
J. Cseh: Dual breaking of symmetries in algebraic models, European Physics Journal - Special Topics, in press, 2020
A. Martinou, D. Bonatsos, N. Minkov, I.E. Assimakis, S.K. Peroulis, S. Sarantopoulou, J. Cseh: Proxy-SU(3) symmetry in the shell model basis, European Physics Journal A, in press, 2020
J. Cseh: Microscopic structure and mathematical background of the multiconfigurational dynamical symmetry, Physical Review C, submitted, 2020
A.T. Kruppa, J. Kovács, P. Salamon, Ö. Legeza: Entanglement and correlation in two-nucleon systems, Journal of Physics G, submitted, 2020
J.Cseh: Microscopic structure and mathematical background of the multiconfigurational dynamical symmetry, Physical Review C 103, 064322, 2021



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