Abstract
The growing interest in the physics of unstable nuclei, along with their manifestations in laboratory experiments and astrophysical observations, highlights the existence of features in decay processes within complex quantum systems that are not yet fully understood. This paper considers examples of such phenomena, including two-step decay processes, resonance effects, threshold peculiarities, and the interactions between bound and continuum states, as well as the related dynamics.
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References
M. Peshkin, A. Volya, V. Zelevinsky, Non-exponential and oscillatory decays in quantum mechanics. EPL 107(4), 40001 (2014)
S.M. Wang, W. Nazarewicz, A. Volya, Y.G. Ma, Probing the nonexponential decay regime in open quantum systems. Phys. Rev. Res. 5(2), 023183 (2023). https://doi.org/10.1103/PhysRevResearch.5.023183
A. Spyrou, Z. Kohley, T. Baumann, D. Bazin, B.A. Brown, G. Christian, P.A. DeYoung, J.E. Finck, N. Frank, E. Lunderberg, S. Mosby, W.A. Peters, A. Schiller, J.K. Smith, J. Snyder, M.J. Strongman, M. Thoennessen, A. Volya, First observation of ground state dineutron decay: \(^{16}\rm Be \). Phys. Rev. Lett. 108(10), 102501 (2012)
C.R. Hoffman, T. Baumann, J. Brown, P.A. DeYoung, J.E. Finck, N. Frank, J.D. Hinnefeld, S. Mosby, W.A. Peters, W.F. Rogers, A. Schiller, J. Snyder, A. Spyrou, S.L. Tabor, M. Thoennessen, Observation of a two-neutron cascade from a resonance in \(^{24}\rm O \). Phys. Rev. C 83(3), 031303 (2011). https://doi.org/10.1103/PhysRevC.83.031303
E. Lunderberg, P.A. DeYoung, Z. Kohley, H. Attanayake, T. Baumann, D. Bazin, G. Christian, D. Divaratne, S.M. Grimes, A. Haagsma, J.E. Finck, N. Frank, B. Luther, S. Mosby, T. Nagi, G.F. Peaslee, A. Schiller, J. Snyder, A. Spyrou, M.J. Strongman, M. Thoennessen, Evidence for the ground-state resonance of \(^{26}\rm O \). Phys. Rev. Lett. 108(14), 142503 (2012). https://doi.org/10.1103/PhysRevLett.108.142503
H.T. Johansson, Y. Aksyutina, T. Aumann, K. Boretzky, M.J.G. Borge, A. Chatillon, L.V. Chulkov, D. Cortina-Gil, U.D. Pramanik, H. Emling, C. Forssen, H.O.U. Fynbo, H. Geissel, G. Ickert, B. Jonson, R. Kulessa, C. Langer, M. Lantz, T. LeBleis, K. Mahata, M. Meister, G. Muenzenberg, T. Nilsson, G. Nyman, R. Palit, S. Paschalis, W. Prokopowicz, R. Reifarth, A. Richter, K. Riisager, G. Schrieder, N.B. Shulgina, H. Simon, K. Suemmerer, O. Tengblad, H. Weick, M.V. Zhukov, Three-body correlations in the decay of \(^{10}\rm He \) and \(^{13}\rm Li\). Nucl. Phys. A. (2010). https://doi.org/10.1016/j.nuclphysa.2010.07.002
N. Michel, W. Nazarewicz, M. Ploszajczak, J. Okolowicz, Gamow shell model description of weakly bound nuclei and unbound nuclear states. Phys. Rev. C 67, 054311 (2003)
A. Volya, V. Zelevinsky, Collective dipole excitations in the continuum shell model. Phys. Scr. T125(T125), 224–225 (2006)
T. Myo, K. Kato, K. Ikeda, Resonances of \(^{7}\rm He \) using the complex scaling method. Phys. Rev. C 76(5), 054309 (2007). https://doi.org/10.1103/PhysRevC.76.054309
L.V. Grigorenko, I.G. Mukha, C. Scheidenberger, M.V. Zhukov, Two-neutron radioactivity and four-nucleon emission from exotic nuclei. Phys. Rev. C 84(2), 021303 (2011). https://doi.org/10.1103/PhysRevC.84.021303
H. Feshbach, The optical model and its justification. Annu. Rev. Nucl. Sci. 8, 49 (1958)
H. Feshbach, A unified theory of nuclear reactions. Ann. Phys. 19, 287 (1962)
V. Zelevinsky, A. Volya, Mesoscopic nuclear physics: from nucleus to quantum chaos to quantum signal transmission (World Scientific, Singapore, 2023). https://doi.org/10.1142/13049
V.V. Sokolov, V.G. Zelevinsky, Dynamics and statistics of unstable quantum states. Nucl. Phys. A 504, 562 (1989)
A. Volya, Time-dependent approach to the continuum shell model. Phys. Rev. C 79(4), 044308 (2009). https://doi.org/10.1103/PhysRevC.79.044308
N. Auerbach, V. Zelevinsky, Super-radiant dynamics, doorways and resonances in nuclei and other open mesoscopic systems. Rep. Prog. Phys. 74, 106301 (2011). https://doi.org/10.1088/0034-4885/74/10/106301
Y. Kondo, T. Nakamura, R. Tanaka, R. Minakata, S. Ogoshi, N.A. Orr, N.L. Achouri, T. Aumann, H. Baba, F. Delaunay, P. Doornenbal, N. Fukuda, J. Gibelin, J.W. Hwang, N. Inabe, T. Isobe, D. Kameda, D. Kanno, S. Kim, N. Kobayashi, T. Kobayashi, T. Kubo, S. Leblond, J. Lee, F.M. Marqués, T. Motobayashi, D. Murai, T. Murakami, K. Muto, T. Nakashima, N. Nakatsuka, A. Navin, S. Nishi, H. Otsu, H. Sato, Y. Satou, Y. Shimizu, H. Suzuki, K. Takahashi, H. Takeda, S. Takeuchi, Y. Togano, A.G. Tuff, M. Vandebrouck, K. Yoneda, Nucleus \(^{26}\rm O\): a barely unbound system beyond the drip line. Phys. Rev. Lett. 116, 102503 (2016). https://doi.org/10.1103/PhysRevLett.116.102503
Z. Kohley, E. Lunderberg, P.A. DeYoung, A. Volya, T. Baumann, D. Bazin, G. Christian, N.L. Cooper, N. Frank, A. Gade, C. Hall, J. Hinnefeld, B. Luther, S. Mosby, W.A. Peters, J.K. Smith, J. Snyder, A. Spyrou, M. Thoennessen, First observation of the \(^{13}\rm Li \) ground state. Phys. Rev. C 87(1), 011304 (2013)
R.J. Charity, J. Wylie, S.M. Wang, T.B. Webb, K.W. Brown, G. Cerizza, Z. Chajecki, J.M. Elson, J. Estee, D.E.M. Hoff, S.A. Kuvin, W.G. Lynch, J. Manfredi, N. Michel, D.G. McNeel, P. Morfouace, W. Nazarewicz, C.D. Pruitt, C. Santamaria, S. Sweany, J. Smith, L.G. Sobotka, M.B. Tsang, A.H. Wuosmaa, Strong evidence for \(^{9}\rm N\) and the limits of existence of atomic nuclei. Phys. Rev. Lett. 131, 172501 (2023). https://doi.org/10.1103/PhysRevLett.131.172501
I.A. Egorova, R.J. Charity, L.V. Grigorenko, Z. Chajecki, D. Coupland, J.M. Elson, T.K. Ghosh, M.E. Howard, H. Iwasaki, M. Kilburn, J. Lee, W.G. Lynch, J. Manfredi, S.T. Marley, A. Sanetullaev, R. Shane, D.V. Shetty, L.G. Sobotka, M.B. Tsang, J. Winkelbauer, A.H. Wuosmaa, M. Youngs, M.V. Zhukov, Democratic decay of \(^{6}\rm Be\) exposed by correlations. Phys. Rev. Lett. 109, 202502 (2012). https://doi.org/10.1103/PhysRevLett.109.202502
A. Volya, Physics of unstable nuclei: from structure to sequential decays. EPJ Web of Conf. 38, 03003 (2012)
Baz, A.I., Zeldovich, I.B., Perelomov, A.M.: Scattering, Reactions and Decay in Nonrelativistic Quantum Mechanics, (1971)
L.D. Landau, E.M. Lifshitz, Quantum Mechanics Non-relativistic Theory, 3rd edn. (Pergamon Press, New York, 1981)
N. Michel, M. Płoszajczak, Gamow Shell Model, The Unified Theory of Nuclear Structure and Reactions, Lecture Notes in Physics, vol. 983. (Springer, Switzerland, 2021)
A. Bohr, B.R. Mottelson, Nuclear Structure (World Scientific Publishing, Singapore, 1998)
L.V. Grigorenko, M.V. Zhukov, Problems with the interpretation of the (10)he ground state. Phys. Rev. C 77(3), 034611 (2008). https://doi.org/10.1103/PhysRevC.77.034611
S.E. Koonin, Proton pictures of high-energy nuclear collisions. Phys. Lett. B (1977). https://doi.org/10.1016/0370-2693(77)90340-9
R. Lednicky, V.L. Lyuboshits, Effect of the final-state interaction on pairing correlations of particles with small relative momenta. Sov. J. Nucl. Phys. 35, 5 (1982)
E.P. Wigner, On the behavior of cross sections near thresholds. Phys. Rev. 73(9), 1002–1009 (1948). https://doi.org/10.1103/PhysRev.73.1002
F.C. Barker, A model for nuclear threshold levels. Proc. Phys. Soc. 84(5), 681 (1964). https://doi.org/10.1088/0370-1328/84/5/305
D.R. Inglis, Nuclear models, threshold states and rearrangement energy. Nucl. Phys. 30, 1–29 (1962). https://doi.org/10.1016/0029-5582(62)90029-9
A.I. Baz’, Energy dependence of cross sections near the “threshold’’ for unstable particle production. JETP 13(5), 1058 (1961)
A.I. Baz’, Resonance effects in the scattering of particles near a reaction threshold. JETP 9(6), 1256 (1959)
A.I. Baz’, The energy dependence of a scattering cross section near the threshold of reaction. JETP 6(4), 709 (1958)
G. Breit, Energy dependence of reactions at thresholds. Phys. Rev. 107(6), 1612–1615 (1957). https://doi.org/10.1103/PhysRev.107.1612
I. Rotter, A non-hermitian hamilton operator and the physics of open quantum systems. J. Phys. Al 42(15), 153001 (2009). https://doi.org/10.1088/1751-8113/42/15/153001
N. Michel, W. Nazarewicz, M. Ploszajczak, T. Vertse, Shell model in the complex energy plane. J. Phys. G 36(1), 013101 (2009). https://doi.org/10.1088/0954-3899/36/1/013101
F.E. Wietfeldt, G.L. Greene, Colloquium: the neutron lifetime. Rev. Mod. Phys. 83, 1173–1192 (2011). https://doi.org/10.1103/RevModPhys.83.1173
M. Pfützner, K. Riisager, Examining the possibility to observe neutron dark decay in nuclei. Phys. Rev. C 97, 042501 (2018). https://doi.org/10.1103/PhysRevC.97.042501
A. Volya, V. Zelevinsky, Exploring dynamics of unstable many-body systems. AIP Conf. Proc. 1619, 181–189 (2014). https://doi.org/10.1063/1.4899234
C.R. Hoffman, B.P. Kay, J.P. Schiffer, Neutron \(s\) states in loosely bound nuclei. Phys. Rev. C 89, 061305 (2014). https://doi.org/10.1103/PhysRevC.89.061305
Y. Ayyad, B. Olaizola, W. Mittig, G. Potel, V. Zelevinsky, M. Horoi, S. Beceiro-Novo, M. Alcorta, C. Andreoiu, T. Ahn, M. Anholm, L. Atar, A. Babu, D. Bazin, N. Bernier, S.S. Bhattacharjee, M. Bowry, R. Caballero-Folch, M. Cortesi, C. Dalitz, E. Dunling, A.B. Garnsworthy, M. Holl, B. Kootte, K.G. Leach, J.S. Randhawa, Y. Saito, C. Santamaria, P. Siuryte, C.E. Svensson, R. Umashankar, N. Watwood, D. Yates, Direct observation of proton emission in \(^{11}\rm Be\). Phys. Rev. Lett. 123, 082501 (2019). https://doi.org/10.1103/PhysRevLett.123.082501
Y. Ayyad, W. Mittig, T. Tang, B. Olaizola, G. Potel, N. Rijal, N. Watwood, H. Alvarez-Pol, D. Bazin, M. Caamaño, J. Chen, M. Cortesi, B. Fernández-Domínguez, S. Giraud, P. Gueye, S. Heinitz, R. Jain, B.P. Kay, E.A. Maugeri, B. Monteagudo, F. Ndayisabye, S.N. Paneru, J. Pereira, E. Rubino, C. Santamaria, D. Schumann, J. Surbrook, L. Wagner, J.C. Zamora, V. Zelevinsky, Evidence of a near-threshold resonance in \(^{11}\rm B\) relevant to the \(\beta \)-delayed proton emission of \(^{11}\rm Be\). Phys. Rev. Lett. 129, 012501 (2022). https://doi.org/10.1103/PhysRevLett.129.012501
E. Lopez-Saavedra, S. Almaraz-Calderon, B.W. Asher, L.T. Baby, N. Gerken, K. Hanselman, K.W. Kemper, A.N. Kuchera, A.B. Morelock, J.F. Perello, E.S. Temanson, A. Volya, I. Wiedenhöver, Observation of a near-threshold proton resonance in \(^{11}\rm B\). Phys. Rev. Lett. 129, 012502 (2022). https://doi.org/10.1103/PhysRevLett.129.012502
J. Okołowicz, M. Płoszajczak, W. Nazarewicz, Convenient location of a near-threshold proton-emitting resonance in \(^{11}\rm B\). Phys. Rev. Lett. 124, 042502 (2020). https://doi.org/10.1103/PhysRevLett.124.042502
A. Volya, Assessment of the beta-delayed proton decay rate of 11Be. EPL 130(1), 12001 (2020). https://doi.org/10.1209/0295-5075/130/12001
J. Refsgaard, J. Büscher, A. Arokiaraj, H.O.U. Fynbo, R. Raabe, K. Riisager, Clarification of large-strength transitions in the \(\beta \) decay of \(^{11}\rm Be\). Phys. Rev. C 99, 044316 (2019). https://doi.org/10.1103/PhysRevC.99.044316
R.S. Lubna, K. Kravvaris, S.L. Tabor, V. Tripathi, E. Rubino, A. Volya, Evolution of the N=20 and 28 shell gaps and two-particle-two-hole states in the FSU interaction. Phys. Rev. Res. 2(4), 043342 (2020). https://doi.org/10.1103/PhysRevResearch.2.043342
M.C. Atkinson, P. Navrátil, G. Hupin, K. Kravvaris, S. Quaglioni, Ab initio calculation of the \(\beta \) decay from \(^{11}{\rm Be}\) to a \({}^{10}{\rm Be}+p\) resonance. Phys. Rev. C 105, 054316 (2022). https://doi.org/10.1103/PhysRevC.105.054316
J. Okołowicz, M. Płoszajczak, W. Nazarewicz, \(\beta -\)p and \(\beta -\alpha \) decay of the \(^{11}\rm Be \) neutron halo ground state. J. Phys G 49(10), 10–01 (2022). https://doi.org/10.1088/1361-6471/ac8948
N. Le Anh, B.M. Loc, N. Auerbach, V. Zelevinsky, Single-particle properties of the near-threshold proton-emitting resonance in \(^{11}\rm Be \). Phys. Rev. C 106(5), 051302 (2022). https://doi.org/10.1103/PhysRevC.106.L051302
W. Elkamhawy, Z. Yang, H.-W. Hammer, L. Platter, \(\beta \)-delayed proton emission from 11be in effective field theory. Phys. Lett. B 821, 136610 (2021). https://doi.org/10.1016/j.physletb.2021.136610
T. Tomoda, Double beta decay. Rep. Prog. Phys. 54(1), 53 (1991). https://doi.org/10.1088/0034-4885/54/1/002
H. Primakoff, S.P. Rosen, Double beta decay. Rep. Prog. Phys. 22(1), 121 (1959). https://doi.org/10.1088/0034-4885/22/1/305
B. Pritychenko, Systematic analysis of double-beta decay half lives. Nucl. Phys. A 1033, 122628 (2023). https://doi.org/10.1016/j.nuclphysa.2023.122628
N. Auerbach, V. Zelevinsky, Super-radiant dynamics, doorways and resonances in nuclei and other open mesoscopic systems. Rep. Prog. Phys. 74, 106301 (2011)
A. Volya, M. Barbui, V.Z. Goldberg, G.V. Rogachev, Superradiance in alpha clustered mirror nuclei. Commun. Phys. 5(1), 1–6 (2022). https://doi.org/10.1038/s42005-022-01105-9
A. Volya, V. Zelevinsky, Continuum shell model. Phys. Rev. C 74(6), 064314 (2006)
A. Volya, Porter-thomas distribution in unstable many-body systems. Phys. Rev. C 83(4), 044312 (2011)
C.H. Lewenkopf, V.G. Zelevinsky, Single and multiple giant-resonances - counterplay of collective and chaotic dynamics. Nucl. Phys. A 569(1–2), 194 (1994)
A. Volya, V. Zelevinsky, Collective many-body dynamics in the vicinity of nuclear driplines. Nucl. Phys. A 788, 251 (2007)
N. Auerbach, V. Zelevinsky, A. Volya, “Super-radiance’’ and the width of exotic baryons. Phys. Lett. B 590(1–2), 45–50 (2004)
A. Volya, V. Zelevinsky, Non-hermitian effective hamiltonian and continuum shell model. Phys. Rev. C 67(5), 054322 (2003)
Acknowledgements
This material is based upon work supported by the US Department of Energy Office of Science, Office of Nuclear Physics under Award No. DE-SC0009883. V.Z. is grateful to B. Pritychenko for the discussion of double beta decay and corresponding data.
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Volya, A., Zelevinsky, V. Puzzles of Exotic Decay Processes. Few-Body Syst 65, 43 (2024). https://doi.org/10.1007/s00601-024-01916-2
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DOI: https://doi.org/10.1007/s00601-024-01916-2