[1] K. Pomorski, B. Nerlo-Pomorska, P. R<strong>in</strong>g, G. A. Lalazissis, A. Baran. Z. Łojewski, B. Nerlo-Pomorska,M. Warda, Nucl. Phys.A 624, 349 (1997)[2] M. Warda, B. Nerlo-Pomorska, K. Pomorski, Nucl. Phys. A635, 484 (1998)[3] M. Warda. B. Nerlo-Pomorska, K. Pomorski, Acta Phys. Polon. B 30, 755 (1999)[4] B. Nerlo-Pomorska, K. Pomorski, J. F. Berger, Acta Phys. Polon. B 32, 925 (2001)[5] Z. Łojewski, B. Nerlo-Pomorska, J. Dudek, Acta Phys. Polon. B 32, 2981 (2001)[6] K. Mazurek, B. Nerlo-Pomorska, Acta Phys. Polon. B 32, 783 (2001)[7] B. Nerlo-Pomorska, K. Pomorski, J. F. Berger, Eur. Phys. Jour. A 8, 19 (2000)[8] M. Kleban, B. Nerlo-Pomorska, K. Pomorski, J. F. Berger, J. Decharge, Acta Phys. Polon. B 32, 1119(2001)[9] M. Kleban, B. Nerlo-Pomorska, .Annales UMCS, Sect. AAA, LV/LVI, 1 (2001)[10] M. Kleban, B. Nerlo-Pomorska, J. Berger, J. Decharge, J. Girod, S. Hilaire, Phys. Rev. C 65, 024309, 1(2002)[11] M. Kleban, B. Nerlo-Pomorska, K. Pomorski, J F. Berger, J. Decharge, Acta Phys. Polon. B 33, 383(2002)[12] B. Nerlo-Pomorska, K. Mazurek, Phys. Rev. C 66, 064305, 1 (2002)[13] B. Nerlo-Pomorska, K. Mazurek, M. Kleban, Acta Phys. Polon. B 34, 1777, 1 (2003)[14] B. Nerlo-Pomorska, J. Sykut, Acta Phys. Polon. B 35, 1299, 1 (2004)[15] B. Nerlo-Pomorska, Physica Scripta T 125, 26 (<strong>2006</strong>)[16] B. Nerlo-Pomorska, K. Pomorski, M. Zwierzchowska, Int. Journ. of Modern Phys. E 16, 276 (2007)[17] K. Pomorski, B. Nerlo-Pomorska, Physica Scripta T 125, 21 (<strong>2006</strong>)[18] B. Nerlo-Pomorska, K. Pomorski, Int. Journ. of Modern Phys. E 16, 130 (2007)[19] B. Nerlo-Pomorska, K. Pomorski, Int. Journ. of Modern Phys. E 15, 471 (<strong>2006</strong>)[20] B. Nerlo-Pomorska, K. Pomorski, Int. Journ. of Modern Phys. E 16, 276 (2007)[21] K. Pomorski, Phys. Rev. C 70, 044306 (2004)[22] H. Molique, J. Dudek, K. Pomorski, Int. Journ. of Modern Phys. E 14, 499 (2005)[23] K. Pomorski, J. Dudek, Phys. Rev. C 67, 044316 (2003)44
MASSES AND FISSION BARRIERS OF ATOMIC NUCLEIK. Pomorski, B. Nerlo-Pomorska, A. Dobrowolski, K. Mazurek, M. WardaInstitute of Physics, Maria Curie-Skłodowska University, Lubl<strong>in</strong>Theoretical estimates of the masses of nucleiwhich are not far from stability agree well withthe measured data. Nevertheless the progressmade <strong>in</strong> experimental <strong>nuclear</strong> <strong>physics</strong> over thelast years, like discovery of superheavy nuclei orisotopes close to the proton or neutron drip-l<strong>in</strong>es,demands for a more careful check<strong>in</strong>g of thetheoretical model predictions and may lead tosome revision of its parameters.The recently developped Lubl<strong>in</strong>-StrasbourgDrop (LSD) [1] model together with the Moellermicroscopic corrections [At. Data Nucl. Data Tab.59, 185 (1995)] is very successful <strong>in</strong> describ<strong>in</strong>gmany features of nuclei. In addition to theclassical liquid drop model the LSD conta<strong>in</strong>s thecurvature term proportional to the A^1/3. Itsparameters were adjusted to the b<strong>in</strong>d<strong>in</strong>gs energiesof presently known 2766 [Isotope chart of M.Antony, Strasbourg 2002] with proton andneutron numbers larger or equal to 8. The r.m.s.deviation of the experimental b<strong>in</strong>d<strong>in</strong>g energiesversus those predicted by the LSD model, equal to0.698 MeV, is smaller than the ones given by othermore elaborated theories like the f<strong>in</strong>ite-rangedroplet, the Thomas-Fermi model or old liquiddrop model of Myers and Swiatecki [Nucl. Phys.A601, 141 (<strong>1996</strong>); Ark. Phys. 36, 343 (1967)].The LSD estimates of b<strong>in</strong>d<strong>in</strong>g energies ofnuclei which are far from the beta stability differsignificantly from the data predicted by the othermacroscopic-microscopic or selfconsistent models[2-4]. There is a hope that new experiments withthe radioactive beams will br<strong>in</strong>g suffcient sampleof data <strong>in</strong> order to decide which model describesbetter the position of the proton and neutron dripl<strong>in</strong>es.It turns out that the liquid drop model which<strong>in</strong> addition to the volume, surface and Coulombenergies conta<strong>in</strong>s just the first order curvatureterm gives not only a very good description of themasses but also a rather satisfactory prediction ofthe fission barrier heights. It is worth emphasiz<strong>in</strong>gthat all the parameters of the LSD model werefitted to the <strong>nuclear</strong> masses only and thus thecorrect reproduction of the barrier heights can beseen as an additional sign of the <strong>in</strong>tr<strong>in</strong>sicconsistency of the model. The mean squaredeviation of the barrier heights from experimentis 3.56 MeV, but it decreases to only 0.88 MeVwhen the four lightest nuclei are disregarded i.e.when only the nuclei with Z>70 are considered.In addition it was found <strong>in</strong> Ref. [5] that tak<strong>in</strong>g<strong>in</strong>to account the deformation dependence of thecongruence energy significantly approaches thetheoretical LSD-model barrier-heights to theexperimental data <strong>in</strong> the case of the light isotopeswhile the fission barriers for heavy nuclei rema<strong>in</strong>nearly unchanged and agree well withexperiment.Another important effect which <strong>in</strong>fluences thefission barrier heights is the assumtion, made <strong>in</strong>all type microscopic-macroscopic calculations,that the proton and neutron distributions have thesame deformations. It was shown <strong>in</strong> Ref. [6] onbasis of selfconsistent HFB calculations with theGogny force that such an effect can change thebarrier height estimates even by 1 MeV. Ageneralization of the macroscopic model wasproposed <strong>in</strong> Ref. [7], where the termcorrespond<strong>in</strong>g to the response of the system onthe change of the relative proton to neutrondeformation was derived us<strong>in</strong>g the ETFapproximation to the HF hamiltonian with theSkyrme force. Similar estimates made <strong>in</strong> theYukawa folded model were performed <strong>in</strong> Refs.[8,9] where the effect of the proton and neutrondeformation difference on the fission barrierheights was studied.Recently developped <strong>in</strong> Ref. [10] new shellcorrection method obta<strong>in</strong>ed by averag<strong>in</strong>g <strong>in</strong> theparticle number space (not by smooth<strong>in</strong>g thes<strong>in</strong>gle energies as <strong>in</strong> the traditional Strut<strong>in</strong>skyprescription) predicts deeper m<strong>in</strong>ima for spericalnuclei what can also change the estimates of thebarrier height of such isotopes.Fig. 1. Comparison of theoretical masses obta<strong>in</strong>ed us<strong>in</strong>g the LSDmodel with the experimental data for known isotopes.45
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[1] C.R Bingham, M.N. Tantawy, J.C.
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NUCLEAR OPEN QUANTUM SYSTEM MANY-BO
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THREE-NUCLEON FORCE EFFECTS IN NUCL
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RELATIVISTIC EFFECTS IN THREE-NUCLE
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ELECTRON AND PHOTON SCATTERING ON T
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EXPERIMENTAL STUDIES OF THREE-NUCLE
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A SEARCH FOR MAJORANA NEUTRINOExper
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DOUBLE BETA DECAY MATRIX ELEMENTS I
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NUCLEAR OPTICAL POTENTIAL FROM LIGH
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REACTIONS WITH LOOSELY BOUND PROJEC
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NEUTRON-INDUCED REACTIONSJ. Andrzej
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NUCLEAR FUSION AND FISSION IN MEAN-
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FISSION AND FUSION OF NUCLEI WITHIN
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ENHANCED ELECTRON SCREENING IN DEUT
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EXPERIMENTAL APPROACHES TO HEAVY IO
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HEAVY ION EXPERIMENTS AT LNS CATANI
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HEAVY ION REACTION MECHANISMS AT FE
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HARD PHOTONS FROM NUCLEUS-NUCLEUSAN
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NEUTRAL MESON PRODUCTION AND BARYON
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CORRELATIONS AND FLUCTUATIONS IN HE
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MASS AND ISOTOPIC EFFECTS IN NUCLEA
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NUCLEAR MATTER AT THE LIQUID-GAS PH
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HEAVY-ION COLLISIONS: GEOMETRY AND
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MULTIFRAGMENTATION IN HEAVY-ION COL
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ULTRA-RELATIVISTIC REACTIONS BETWEE
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INVESTIGATION OF HADRON PROPERTIES
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SPALLATION AND FRAGMENTATION OF ATO
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STRANGE-PARTICLE PRODUCTION IN NUCL
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PHASE TRANSITIONS IN HIGHLY EXCITED
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NUCLEAR SINGLE PARTICLE SUM RULES I
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NUCLEAR STATES OF η, K MESONS, Σ
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HYPERON RESONANCES PRODUCED IN PROT
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η AND η΄ MESONS PRODUCTION IN D-
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K+ PRODUCTION IN PROTON-NUCLEUS REA
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INTERACTION OF K + K - MESONSJ. Bal
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PRODUCTION OF K+ AND K- MESONS IN H
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ATOMIC PHYSICS IN HEAVY ION - ATOM
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SEARCH FOR TIME REVERSAL VIOLATION
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HIGH INTENSITY ULTRA-COLD NEUTRON S
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NUCLEAR PHYSICS WITH ULTRACOLD ATOM
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DEVELOPMENT OF A FAST DATA READOUT
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NEW TECHNOLOGIES OF SILICON DETECTO
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NUCLEAR REACTIONS IN THE ACCELERATI
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NATURAL RADIOACTIVITY STUDIES IN SO
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