Study of ground states of 13,14C, 13,14N, 14O nuclei by Feynman's continual integrals

21 Sept 2021, 18:00
2h
Poster report Section 1. Experimental and theoretical studies of the properties of atomic nuclei. Poster session (Experimental and theoretical studies of the properties of atomic nuclei)

Speaker

Viacheslav Samarin (Joint Institute for Nuclear Research)

Description

The ground states of ${}^{13,14}$C, ${}^{13,14}$N, ${}^{14}$O nuclei were studied in two complementary few-body models. In first model the studied isotopes were considered as cluster nuclei with following configurations: ${}^{13}$C ($3\alpha + n$ ), ${}^{14}$C ($3\alpha + 2n$), ${}^{13}$N ($3\alpha + p$), ${}^{14}$N ($3\alpha + n + p$), ${}^{14}$O ($3\alpha + 2p$). In second model the studied isotopes were considered as systems consisting from nuclear core ${}^{12}$C and one or two valence nucleons. The wave functions and energies of these few-body systems were calculated by Feynman’s continual integrals method in Euclidean time [1–3]. The algorithm of parallel calculations was implemented in C++ programming language using NVIDIA CUDA technology [4]. Calculations were performed on the NVIDIA Tesla K40 accelerator installed within the heterogeneous cluster of the Laboratory of Information Technologies, Joint Institute for Nuclear Research, Dubna [5]. Results of the few-body model were compared with results of the shell model of deformed nuclei [6, 7].
References
1. Feynman R.P. and Hibbs A.R. Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
2. Shuryak E.V. and Zhirov O.V. // Nucl. Phys. B. 1984. V.242. P.393.
3. Samarin V.V. and Naumenko M.A. // Phys. Atom. Nucl. 2017. V.80. P.877.
4. Naumenko M.A. and Samarin V.V. // Supercomp. Front. Innov. 2016. V.3. P.80.
5. http://hybrilit.jinr.ru.
6. Samarin V.V. // Phys. Atom. Nucl. 2010. V.73. P. 1416.
7. Samarin V.V. // Phys. Atom. Nucl. 2015. V.78. P. 128.

Primary author

Viacheslav Samarin (Joint Institute for Nuclear Research)

Presentation materials