The analytical determination of binding energy and magnetic moment of light single-lambda hypernuclei

Document Type : Full length research Paper

Authors

1 Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran

2 1Faculty of Physics, Yazd University, P.O. Box 89195-741, Yazd, Iran

3 Department of Physics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran

Abstract

Hypernuclei are known as the bound states of nucleons and one or more strange baryons (hyperons) so the development of their physics helps to understand the structure of nuclei and the properties of strange baryons with more precision. One important goal in the field of hypernucleus physics is the study of the interaction of hyperon-nucleon and hyperon-hyperon. In this regard, the study of hypernuclei structure can play an essential role in understanding these types of interactions. In this work, we study some important static properties of single-lambda hypernuclei (nuclei containing a -baryon) such as their binding energy and magnetic moments. For our calculation, we use the Dirac relativistic wave equation considering a spin-orbit potential and determine the analytical equation of binding energy and magnetic moments. In the following, we will determine these quantities for some light hypernuclei such as  and . Our analytical results will be compared with other theoretical results as well as available experimental data.

Keywords

Main Subjects


[1] M. Danysz, J. Pniewski, Delayed disintegration of a heavy nuclear fragment: I, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 44 (1953) 348-350. https://doi.org/10.1080/14786440308520318
[2] G. Bohm, J. Klabuhn, U. Krecker, F. Wysotski, G. Coremans, W. Gajewski, C. Mayeur, J. Sacton, P. Vilain, G. Wilquet, D. O'Sullivan, D. Stanley, D.H. Davis, E.R. Fletcher, S.P. Lovell, N.C. Roy, J.H. Wickens, A. Filipkowski, K. Garbowska-Pniewska, T. Pniewski, E. Skrzypczak, T. Sobczak, J.E. Allen, V.A. Bull, A.P. Conway, A. Fishwick, P.V. March, A determination of the binding-energy values of light hypernuclei, Nuclear Physics B, 4 (1968) 511-526. https://doi.org/10.1016/0550-3213(68)90109-0
[3] S. Gerasyuta, E. Matskevich, Twelve-quark hypernuclei with A= 4 in a relativistic quark–gluon model, International Journal of Modern Physics A, 30 (2015) 1550157. doi:10.1142/S0217751X15501572
[4] H. Takahashi, J.K. Ahn, H. Akikawa, S. Aoki, K. Arai, S. Bahk, K. Baik, B. Bassalleck, J. Chung, M. Chung, Observation of a H Λ Λ 6 e Double Hypernucleus, Physical review letters, 87 (2001) 212502. doi:10.1103/PhysRevLett.87.212502
[5] O. Hashimoto, H. Tamura, Spectroscopy of Λ hypernuclei, Progress in Particle and Nuclear Physics, 57 (2006) 564-653. doi:10.1016/j.ppnp.2005.07.001
[6] M. Rufa, J. Schaffner, J. Maruhn, H. Stöcker, W. Greiner, P.-G. Reinhard, Multi-lambda hypernuclei and the equation of state of hypermatter, Physical Review C, 42 (1990) 2469. doi:10.1103/PhysRevC.42.2469
[7] C. Cai, L. Li, Y. Tan, P. Ning, Could Λc+ hypernuclei exist?, Europhysics Letters, 64 (2003) 448. doi:10.1209/epl/i2003-00610-x
[8] C. Barbero, A. Mariano, A. Samana, Shell model formalism for all hypernuclei types: A guide to solving the nonmesonic weak decay puzzle, Physical Review C, 78 (2008) 044324. doi:10.1103/PhysRevC.78.044324
[9] X. Liu, S.P. Maydanyuk, P.-M. Zhang, L. Liu, First investigation of hypernuclei in reactions via analysis of emitted bremsstrahlung photons, Physical Review C, 99 (2019) 064614. doi:10.1103/PhysRevC.99.064614
[10] S. Moosavi Nejad, A. Armat, Determination of hyperon properties through the variational method considering the hyperfine interaction, International Journal of Modern Physics E, 28 (2019) 1950087. doi:10.1142/S0218301319500873
[11] H.-F. Lü, Y.-Y. Liu, The Role of One Single Lambda Hyperon on Binding Energy Difference of Hypernuclear Mirror Pair, Communications in Theoretical Physics, 64 (2015) 525-528. doi:10.1088/0253-6102/64/5/525
[12] H. Sang, X. Wang, H. Lü, J. Yao, H. Sagawa, Magnetic moments of Λ hypernuclei within the time-odd triaxial relativistic mean-field approach, Physical Review C, 88 (2013) 064304. doi:10.1103/PhysRevC.88.064304
[13] N. Kolesnikov, S. Kalachev, Binding energies of hypernuclei and Λ N interaction, Physics of Atomic Nuclei, 69 (2006) 2020-2033. doi:10.1134/S1063778806120052
[14] A. Armat, S. Mohammad Moosavi Nejad, Ground state binding energies and RMS radii of Λ in hypernuclei in the presence of spin-dependent potential, International Journal of Modern Physics E, 28 (2019) 1950011. doi:10.1142/S0218301319500113
[15] S.M.M. Nejad, A. Armat, Relativistic excited state binding energies and RMS radii of Λ-hypernuclei, Modern Physics Letters A, 33 (2018) 1850022. doi:10.1142/S0218301319500113
[16] C. Pekeris, The rotation-vibration coupling in diatomic molecules, Physical Review, 45 (1934) 98. doi:10.1103/PhysRev.45.98
[17] M. Farhadi, S.M. Moosavi Nejad, A. Armat, Analytical Determination of Mass and Magnetic Moment of Baryons in Diquark Model, Few Body Syst. 64 (2023) 3, 76. doi:10.1007/s00601-023-01854-5
[18] S.M.M. Nejad, A. Armat, Analytical solution for magnetic moments of Λ-hypernuclei in a relativistic approach, International Journal of Modern Physics E, 28 (2019) 1950033. doi:10.1142/S0218301319500332
[19] Y. Jiang-Ming, L. Hong-Feng, H. Greg, M. Jie, Core polarization and tensor coupling effects on magnetic moments of hypernuclei, Chinese Physics Letters, 25 (2008) 1629. doi:10.1088/0256-307X/25/5/029
[20] A. Gal, E. Hungerford, D. Millener, Strangeness in nuclear physics, Reviews of Modern Physics, 88 (2016) 035004. doi:10.1103/RevModPhys.88.035004
[21] J. Cohen, R. Furnstahl, Hypernuclear currents in a relativistic mean-field theory, Physical Review C, 35 (1987) 2231. doi:10.1103/PhysRevC.35.2231
[22] J. Mareš, J. Žofka, Hypernuclear magnetic moments, Physics Letters B, 249 (1990) 181-185. doi:10.1016/0370-2693(90)91239-8
[23] A. Gattone, M. Chiapparini, E. Izquierdo, λ-hypernuclei magnetic moments in a relativistic model, Physical Review C, 44 (1991) 548. doi:10.1103/PhysRevC.44.548
[24] H. Tamura, R.S. Hayano, H. Outa, T. Yamazaki, Study of Λ-Hypernuclei with Stopped K− Reaction, Progress of Theoretical Physics Supplement 117 (1994) 1-15. doi:10.1143/PTPS.117.1
[25] N. Guleria, S.K. Dhiman, R. Shyam, A study of Λ hypernuclei within the Skyrme–Hartree–Fock model, Nuclear Physics A, 886 (2012) 71-91. doi:10.1016/j.nuclphysa.2012.05.005
[26] M. Rentmeester, R. Timmermans, J. de Swart, Normalization of neutron-proton differential cross sections, Physical Review C, 64 (2001) 034004. doi:10.1103/PhysRevC.64.034004
[27] F. Chezani Sharahi, M. Monemzadeh, A. Abdoli Arani, The Calculate of binding energy and wave function of tetraquark bbss from lattice QCD potential with analytically approach, Journal of Research on Many-body Systems, 9 (2020) 77-85. [In Persian] doi:10.22055/JRMBS.2020.15329