Use this url to cite publication: https://hdl.handle.net/20.500.12259/42836
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Analytical solutions of the Schrodinger equation for finite harmonic-oscillator potential wells
Type of publication
Straipsnis konferencijos medžiagoje kitoje duomenų bazėje / Article in conference proceedings in other databases (P1c)
Title
Analytical solutions of the Schrodinger equation for finite harmonic-oscillator potential wells
Other Title
Šredingerio lygties su baigtinio gylio harmoninio osciliatoriaus potencialu analitiniai sprendimai
Is part of
CYSENI 2009 [Elektroninis išteklius] : The 6th conference of young scientists on energy issues, 28-29 May 2009, Kaunas, Lithuania. Kaunas : LEI, 6 (2009)
Date Issued
Date Issued |
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2009 |
Publisher
Kaunas : LEI
Is Referenced by
Extent
p. 491-498
Field of Science
Abstract
The understanding of the interaction between two nucleons remains a fundamental problem in nuclear physics. There has been done a huge work for exploring hadrons structure and properties, but it is still unclear how the nuclear forces arise from the fundamental quark-quark interactions. Starting from the common belief that quantum chromodynamics is the underlying theory of the strong interaction, one is entitled to demand that hadron physics has been formulated in terms of the basic quark degrees of freedom. Only in this way we will be able to describe the hadron structure and hadron-hadron interaction in consistent framework. Let us choose constituent quarks as the basic degrees of freedom. Using finite harmonic-oscillator potential wells we have constructed a potential, which satisfy all our needs: at low energies quarks must be trapped in nuclei and start interacting only at the high energies. The investigated systems of finite harmonic oscillator wells opens new possibilities for describing modifications of the recent realistic nucleon-nucleon potentials taking into account the substructure of interacting nucleons. The finite deepness of confining wells for constituent quarks causes significant correlations of quarks from interacting nucleons necessary to understand and describe in a simple manner the effects, well-known as the three- and may be four- nucleon potentials, necessary for more or less acceptable microscopic description of the atomic nuclei. The appearance of the system of two levels in double well potential instead of one level in the single well case, the lowest of whom is situated at a lower energy than in the single well, gives us the possibility to understand the under-binding of the lightest atomic nuclei, observable for all recent realistic potentials. Nucleons entering the interaction area change due to the intrinsic structure and the presence of other nucleons. [...]
Dviejų nukleonų tarpusavio sąveikos problema yra viena iš fundamentalių branduolio fizikos problemų. Per pastarąjį dešimtmetį atomo branduolio teorijoje pasiekta didelė pažanga, tačiau vis dar nėra aišku kaip branduolinės jėgos priklauso nuo kvarkų tarpusavio sąveikos. Viena iš galimybių, kaip pagerinti gaunamus rezultatus – pabandyti, pasinaudojant Standartiniu elementariųjų dalelių fizikos modeliu, suprasti, kaip nukleonų struktūra įtakoja jų sąveikas. Naudojant baigtinio gylio harmoninio osciliatoriaus potencialo duobes, sukurtas potencialas, tenkinantis mūsų iškeltas sąlygas: esant žemoms energijoms kvarkai yra uždaryti nukleone ir pradeda sąveikauti tik prie didelių energijų. Išnagrinėtos baigtinio gylio harmoninio osciliatoriaus duobių sistemos atveria naujas galimybes realistinių tarpnukleoninės sąveikos potencialų aprašymui. Dviejų greta esančių energetinių lygmenų atsiradimas dvigubose potencialo duobėse leidžia suprasti kaip pasikeičia nukleonų tarpusavio sąveika, kai greta atsiranda trečias ir daugiau nukleonų.
Type of document
type::text::journal::journal article::research article
Language
Anglų / English (en)
Coverage Spatial
Lietuva / Lithuania (LT)