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1

Müller, Berndt. "Musings about the few-body problem." Nuclear Physics A 737 (June 2004): 3–6. http://dx.doi.org/10.1016/j.nuclphysa.2004.03.216.

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2

Mukhamedzhanov, A. M., E. O. Alt, L. D. Blokhintsev, S. Cherubini, B. F. Irgaziev, A. S. Kadyrov, D. Miljanić, et al. "Few-body problems in nuclear astrophysics." Journal of Physics G: Nuclear and Particle Physics 31, no. 10 (September 12, 2005): S1413—S1415. http://dx.doi.org/10.1088/0954-3899/31/10/005.

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3

Fynbo, H. O. U. "Few-Body Problems in Experimental Nuclear Astrophysics." Few-Body Systems 54, no. 7-10 (February 10, 2013): 843–48. http://dx.doi.org/10.1007/s00601-013-0646-9.

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4

Gl�ckle, Walter. "Few-Body Problems in Particle, Nuclear, Atomic, and Molecular Physics." Few-Body Systems 4, no. 2 (1988): N23—N24. http://dx.doi.org/10.1007/bf01076335.

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5

HIYAMA, E., M. KAMIMURA, T. MOTOBA, T. YAMADA, and Y. YAMAMOTO. "FEW-BODY ASPECTS OF HYPERNUCLEAR PHYSICS." Modern Physics Letters A 18, no. 02n06 (February 28, 2003): 95–101. http://dx.doi.org/10.1142/s021773230301003x.

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On the basis of the three- and four-body structure calculations of [Formula: see text] and [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], it is emphasized that there are many interesting and important few-body problems in hypernuclear physics.
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6

Tumino, A., C. Spitaleri, C. Bertulani, and A. M. Mukhamedzhanov. "Nuclear Astrophysics from View Point of Few-Body Problems." Few-Body Systems 54, no. 7-10 (February 27, 2013): 869–75. http://dx.doi.org/10.1007/s00601-013-0690-5.

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7

SCHULZ, M., and D. H. MADISON. "STUDIES OF THE FEW-BODY PROBLEM IN ATOMIC BREAK-UP PROCESSES." International Journal of Modern Physics A 21, no. 18 (July 20, 2006): 3649–72. http://dx.doi.org/10.1142/s0217751x06032447.

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Fully differential studies of single ionization of neutral atoms by charged particle impact have proven to be extremely powerful to advance our understanding of the few-body dynamics in atomic processes. Until a few years ago, such data were only available for electron impact and were mostly limited to electrons ejected into the scattering plane. When fully differential data were finally obtained for ion impact covering the entire three-dimensional space, very surprising features were observed. It then became clear that our understanding of ionization processes in atomic collisions is not nearly as complete as previously assumed. Here, we review the development of experimental and theoretical studies of three-dimensional fully differential single ionization cross-sections since then.
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8

ORYU, SHINSHO, YASUHISA HIRATSUKA, SATOSHI NISHINOHARA, and SATOSHI CHIBA. "OFF-SHELL EFFECTS IN FEW-BODY SYSTEMS WITH COULOMB FORCE." Modern Physics Letters A 24, no. 11n13 (April 30, 2009): 851–54. http://dx.doi.org/10.1142/s0217732309000152.

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The exact treatment of the two-body problem in momentum space in the presence of Coulomb forces is discussed. Convergence of the traditionally used renormalization approximation is investigated with respect to increasing ranges of the screened Coulomb potentials. The permissible energy range for this approximation is obtained for the first time in this work.
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9

MUZAFAROV, V. M. "AN INVERSE SCATTERING PROBLEM FOR NONLOCAL POTENTIALS II: THE FAMILY OF PHASE EQUIVALENT POTENTIALS." Modern Physics Letters A 02, no. 03 (March 1987): 177–82. http://dx.doi.org/10.1142/s0217732387000239.

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Starting from the general positioning of an inverse scattering problem for the Schrodinger equation with nonlocal potentials, we give a constructive description of the family of phase equivalent two-body potentials. It is shown that if the S-matrix Sl(k) is of a rational type in k then for a dense set of potentials our main integral equation comes to a system of second-order algebraic equations, and these potentials are of a separable form. This essentially resolves all computational problems when dealing with the nuclear few-body problems.
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10

Efros, V. D. "A small-parameter approach for few-body problems." Physics of Atomic Nuclei 72, no. 7 (July 2009): 1099–106. http://dx.doi.org/10.1134/s1063778809070023.

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11

KAMADA, H. "SUMMARY OF APFB08." Modern Physics Letters A 24, no. 11n13 (April 30, 2009): 1076–82. http://dx.doi.org/10.1142/s0217732309000632.

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12

Mandelzweig, Victor B. "Hyperspherical approach to few body problems: A summary and new developments." Nuclear Physics A 508 (February 1990): 63–72. http://dx.doi.org/10.1016/0375-9474(90)90463-v.

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13

Svenne, J., L. Canton, and K. Kozier. "Nuclear Theory - Nuclear Power." Latvian Journal of Physics and Technical Sciences 45, no. 4 (January 1, 2008): 57–68. http://dx.doi.org/10.2478/v10047-008-0020-8.

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Nuclear Theory - Nuclear PowerThe results from modern nuclear theory are accurate and reliable enough to be used for practical applications, in particular for scattering that involves few-nucleon systems of importance to nuclear power. Using well-established nucleon-nucleon (NN) interactions that fit well the NN scattering data, and the AGS form of the three-body theory, we have performed precise calculations of low-energy neutron-deuteron (n+d) scattering. We show that three-nucleon force effects that have impact on the low-energy vector analyzing powers have no practical effects on the angular distribution of then+dcross-section. There appear to be problems for this scattering in the evaluated nuclear data file (ENDF) libraries, at the incident neutron energies less than 3.2 MeV. Supporting experimental data in this energy region are rather old (>25 years), sparse and often inconsistent. Our three-body results at low energies, 50 keV to 10.0 MeV, are compared to the ENDF/B-VII.0 and JENDL (Japanese Evaluated Nuclear Data Library) -3.3 evaluated angular distributions. The impact of these results on the calculated reactivity for various critical systems involving heavy water is shown.
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14

Valderrama, Manuel Pavón. "Power counting and Wilsonian renormalization in nuclear effective field theory." International Journal of Modern Physics E 25, no. 05 (May 2016): 1641007. http://dx.doi.org/10.1142/s021830131641007x.

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Effective field theories are the most general tool for the description of low energy phenomena. They are universal and systematic: they can be formulated for any low energy systems we can think of and offer a clear guide on how to calculate predictions with reliable error estimates, a feature that is called power counting. These properties can be easily understood in Wilsonian renormalization, in which effective field theories are the low energy renormalization group evolution of a more fundamental — perhaps unknown or unsolvable — high energy theory. In nuclear physics they provide the possibility of a theoretically sound derivation of nuclear forces without having to solve quantum chromodynamics explicitly. However there is the problem of how to organize calculations within nuclear effective field theory: the traditional knowledge about power counting is perturbative but nuclear physics is not. Yet power counting can be derived in Wilsonian renormalization and there is already a fairly good understanding of how to apply these ideas to non-perturbative phenomena and in particular to nuclear physics. Here we review a few of these ideas, explain power counting in two-nucleon scattering and reactions with external probes and hint at how to extend the present analysis beyond the two-body problem.
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15

Rubtsova, O. A., and V. I. Kukulin. "Wave-packet discretization of a continuum: Path toward practically solving few-body scattering problems." Physics of Atomic Nuclei 70, no. 12 (December 2007): 2025–45. http://dx.doi.org/10.1134/s1063778807120058.

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16

KAMIMURA, M., Y. KINO, and E. HIYAMA. "STAU-CATALYZED BIG-BANG NUCLEOSYNTHESIS AND NUCLEAR CLUSTER MODEL." International Journal of Modern Physics A 24, no. 11 (April 30, 2009): 2076–83. http://dx.doi.org/10.1142/s0217751x09045649.

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Three-body cluster-model calculations are performed for the new types of big-bang nucleosynthesis (BBN) reactions that are calalyzed by a supersymmetric (SUSY) particle stau, a scalar partner of the tau lepton. If a stau has a lifetime ≳ 103s, it would capture a light element previously synthesized in standard BBN and form a Coulombic bound state. The bound state, an exotic atom, is expected to induce various reactions, such as (αX-) + d → 6 Li + X-, in which a negatively charged stau (denoted as X-) works as a catalyzer. Recent literature papers have claimed that some of these stau-catalyzed reactions have significantly large cross sections so that inclusion of the reactions into the BBN network calculation can change drastically abundances of some elements, giving not only a solution to the 6 Li -7 Li problem (calculated underproduction of 6 Li by ~ 1000 times and overproduction of 7 Li +7 Be by ~ 3 times) but also a constraint on the lifetime and the primordial abundance of the elementary particle stau. However, most of these literature calculations of the reaction cross sections were made assuming too naive models or approximations that are unsuitable for those complicated low-energy nuclear reactions. We use a few-body calculational method developed by the authors, and provides precise cross sections and rates of the stau-catalyzed BBN reactions for the use in the BBN network calculation.
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17

THOMAS, ANTHONY W. "CLOSING REMARKS." Modern Physics Letters A 18, no. 02n06 (February 28, 2003): 456–61. http://dx.doi.org/10.1142/s0217732303010685.

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Few-body physics covers a broad range of problems from the traditional two- and three- nucleon systems to the study of hadron structure in QCD. We present a personal view of those areas that seem most promising at the present time.
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18

GURAPPA, N., C. NAGARAJA KUMAR, and PRASANTA K. PANIGRAHI. "NEW EXACTLY AND CONDITIONALLY EXACTLY SOLVABLE N-BODY PROBLEMS IN ONE DIMENSION." Modern Physics Letters A 11, no. 21 (July 10, 1996): 1737–44. http://dx.doi.org/10.1142/s0217732396001727.

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We study a class of Calogero-Sutherland type one-dimensional N-body quantum mechanical systems, with potentials given by [Formula: see text] where [Formula: see text] are of specific form. It is shown that, only for a few choices of U, the eigenvalue problems can be solved exactly for arbitrary g′. The eigenspectra of these Hamiltonians, when g′≠0, are nondegenerate and the scattering phase shifts are found to be energy-dependent. It is further pointed out that, the eigenvalue problems are amenable to solution for wider choices of U, if g′ is conveniently fixed. These conditionally exactly solvable problems also do not exhibit energy degeneracy and the scattering phase shifts can be computed only for a specific partial wave.
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19

POPOVICI, CARINA. "DYSON–SCHWINGER APPROACH TO STRONGLY COUPLED THEORIES." Modern Physics Letters A 28, no. 09 (March 21, 2013): 1330006. http://dx.doi.org/10.1142/s0217732313300061.

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Although non-perturbative functional methods are often associated with low energy Quantum Chromodynamics, contemporary studies indicate that they provide reliable tools to characterize a much wider spectrum of strongly interacting many-body systems. In this paper, we aim to provide a modest overview on a few notable applications of Dyson–Schwinger equations to QCD and condensed matter physics. After a short introduction, we lay out some formal considerations and proceed by addressing the confinement problem. We discuss in some detail the heavy quark limit of Coulomb gauge QCD, in particular the simple connection between the non-perturbative Green's functions of Yang–Mills theory and the confinement potential. Landau gauge results on the infrared Yang–Mills propagators are also briefly reviewed. We then focus on less common applications, in graphene and high-temperature superconductivity. We discuss recent developments, and present theoretical predictions that are supported by experimental findings.
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20

TRELEANI, D. "AGK CUTTING RULES AND PERTURBATIVE QCD." International Journal of Modern Physics A 11, no. 04 (February 10, 1996): 613–54. http://dx.doi.org/10.1142/s0217751x96000286.

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The purpose of this article is to describe a few features of semihard interactions, in high energy nuclear collisions, that are better understood with the help of the AGK cutting rules, and of the probabilistic picture of the interaction which follows. In the first part of the article the cutting rules are discussed for the simplest component of the forward three-body parton amplitude in the large s fixed t limit. The case considered corresponds to the term — at the lowest order in the coupling constant and with vacuum quantum number exchange in both t channels — of the amplitude which describes the interaction of a high energy quark with the two target quarks. The different leading cuts of the amplitude are shown to be proportional to one another with the same weights of the cutting rules derived in the context of multi-Pomeron exchange. The probabilistic picture of the multiple interactions, which originates from the cutting rules, and the self-shadowing cross sections are then discussed. The second part of the article deals with the semihard interactions. The semihard cross section in high energy nucleus–nucleus collisions is represented as a self-shadowing cross section, and a feature which is pointed out is that the single scattering factorized expression of the perturbative QCD parton model holds at any order in the multiparton correlations, the relation being the analog of the AGK cancellation for the average number of soft interactions in high energy hadron–nucleus collisions. Finally, an infrared problem which finds a solution within the self-shadowing representation of the semihard cross section is discussed.
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21

Kuperin, Yu A., K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, and B. S. Pavlov. "Quantum few-body problem with internal structure. II. Three-body problem." Theoretical and Mathematical Physics 76, no. 2 (August 1988): 834–47. http://dx.doi.org/10.1007/bf01028583.

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22

Kuperin, Yu A., K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, and B. S. Pavlov. "Quantum few-body problem with internal structure. I. Two-body problem." Theoretical and Mathematical Physics 75, no. 3 (June 1988): 630–39. http://dx.doi.org/10.1007/bf01036264.

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23

Tomio, L., R. Biswas, A. Delfino, and T. Frederico. "Renormalization in Few-Body Nuclear Physics." Acta Physica Hungarica A) Heavy Ion Physics 16, no. 1-4 (October 1, 2002): 27–34. http://dx.doi.org/10.1556/aph.16.2002.1-4.4.

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24

Nilsson, Thomas. "Nuclear Few-Body Physics at FAIR." Few-Body Systems 50, no. 1-4 (January 26, 2011): 121–27. http://dx.doi.org/10.1007/s00601-010-0191-8.

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25

Norbury, John W. "The quantum mechanical few‐body problem." American Journal of Physics 57, no. 3 (March 1989): 264–66. http://dx.doi.org/10.1119/1.16050.

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26

Kim, Kwang-Je, Robert J. Budnitz, and Herman Winick. "Andy Sessler: The Full Life of an Accelerator Physicist." Reviews of Accelerator Science and Technology 07 (January 2014): 225–40. http://dx.doi.org/10.1142/s1793626814300114.

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This article describes the distinguished career of Andrew M. Sessler, the visionary former director of the Lawrence Berkeley National Laboratory (LBNL), one of the most influential accelerator physicists, and a strong, dedicated human-rights activist. Andy died on 17 April 2014 from cancer at age 85. He grew up in New York City, and attended Harvard (BA in Mathematics, 1949) and then Columbia (PhD in Physics, 1953.) After an NSF postdoc at Cornell with Hans Bethe and a stint on the faculty at the Ohio State University in 1954–59, he joined the Lawrence Radiation Laboratory (now LBNL) in 1959, and spent the remainder of his career there. Although Andy left his mark on several areas of physics, including nuclear structure theory, elementary-particle physics, and many-body problems, his lasting and most important contributions came from his efforts in accelerator physics and engineering, to which he devoted most of his life's work. In collaboration with his colleagues of the legendary Midwestern Universities Research Association, he developed theories for the RF acceleration process and the collective instability phenomena, helping to realize the colliding-beam accelerators with which most of the high-energy-physics discoveries of the last few decades have been made. His work in connection with the free-electron-laser (FEL) amplifier for high-power microwave generation constructed at the Lawrence Livermore National Laboratory anticipated the optical-guiding and the self-amplified spontaneous-emission principles, upon which the success of the X-ray FELs as the fourth-generation light sources is based. Throughout his career Andy made major contributions to issues related to the impact of science and technology on society. He helped usher in a new era of research on energy efficiency and sustainable-energy technology and was instrumental in building the research agendas in those areas for the Atomic Energy Commission (AEC) and later the Department of Energy. With a lifelong interest in promoting the human rights of scientists, Andy was instrumental in initiating the American Physical Society's Committee on International Freedom of Scientists and in raising funds to endow the APS Andrei Sakharov Prize. He and Moishe Pripstein cofounded Scientists for Sakharov, Orlov, and Sharansky; the group's protests along with those of other groups led to the release of the three Soviet dissidents. More importantly, Andy's voice and example became a major force in helping call the world's attention to the plight of scientists trapped in places where their human rights and their ability to do science were severely compromised. Andy received many honors, including the AEC's Ernest Orlando Lawrence Award in 1970, the APS's Dwight Nicholson Medal in 1994, and the Enrico Fermi Award from the US Department of Energy in 2014.
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27

Hadjimichael, E. "Nuclear interactions in few-body systems." Czechoslovak Journal of Physics 39, no. 8 (August 1989): 884–95. http://dx.doi.org/10.1007/bf01599201.

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28

PANDHARIPANDE, V. R. "RECENT DEVELOPMENTS IN THE NUCLEAR MANY-BODY PROBLEM." International Journal of Modern Physics B 13, no. 05n06 (March 10, 1999): 543–58. http://dx.doi.org/10.1142/s0217979299000448.

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We review recent developments in a few selected areas of the many-body theory of nuclei and neutron stars. The chosen topics are (i) femtometer toroidal structures in nuclei; (ii) modern models of nuclear forces; (iii) advances in the application of quantum Monte Carlo methods to nuclei; (iv) relativistic boost corrections to nuclear forces; (v) dense nucleon matter; (vi) kaon condensation in neutron star matter; and (vii) the nature of the transition from nucleon to quark matter at high density.
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29

Garrido, E., R. de Diego, C. Romero-Redondo, D. V. Fedorov, and A. S. Jensen. "Few-Body Reactions in Nuclear Astrophysics." Few-Body Systems 45, no. 2-4 (February 18, 2009): 133–36. http://dx.doi.org/10.1007/s00601-009-0022-y.

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30

Oryu, Shinsho, Yasuhisa Hiratsuka, and Takashi Watanabe. "Few-Body Problem in Nuclear Reactions:Beyond the horizon of the three-body Faddeev equations." EPJ Web of Conferences 122 (2016): 08001. http://dx.doi.org/10.1051/epjconf/201612208001.

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31

Gross, F., D. Drechsel, J. Friar, V. Pandharipande, and I. Sick. "Conference discussion of the nuclear few-body problem: questions and issues." Nuclear Physics A 689, no. 1-2 (June 2001): 573–87. http://dx.doi.org/10.1016/s0375-9474(01)00907-1.

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32

Viviani, M. "Few- and many-body methods in nuclear physics." European Physical Journal A 31, no. 4 (March 2007): 429–34. http://dx.doi.org/10.1140/epja/i2006-10263-9.

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33

Hiyama, E., Y. Yamamoto, Th A. Rijken, and T. Motoba. "Few-body aspects of hypernuclear physics." Nuclear Physics A 790, no. 1-4 (June 2007): 646c—650c. http://dx.doi.org/10.1016/j.nuclphysa.2007.03.110.

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34

Carlson, J. "Vijay Pandharipande and Few-Body Physics." Nuclear Physics A 790, no. 1-4 (June 2007): 191c—196c. http://dx.doi.org/10.1016/j.nuclphysa.2007.03.152.

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35

Gross, Franz. "Relativistic aspects of few-body physics." Nuclear Physics A 790, no. 1-4 (June 2007): 30c—38c. http://dx.doi.org/10.1016/j.nuclphysa.2007.03.167.

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36

Šlaus, I. "Few-Body Research - Summary." Nuclear Physics A 790, no. 1-4 (June 2007): 199c—219c. http://dx.doi.org/10.1016/j.nuclphysa.2007.03.038.

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37

HIYAMA, EMIKO. "FEW-BODY ASPECTS OF HYPERNUCELAR PHYSICS." International Journal of Modern Physics E 18, no. 10 (November 2009): 2192–96. http://dx.doi.org/10.1142/s0218301309014548.

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Hypernuclear physics has become very exciting owing to new epoch-making experimental data. Recent progress in theoretical and experimental studies of hypernuclei and future developments in this field are discussed.
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38

Hammer, H.-W. "Few-body physics in effective field theory." Journal of Physics G: Nuclear and Particle Physics 31, no. 8 (July 12, 2005): S1253—S1261. http://dx.doi.org/10.1088/0954-3899/31/8/003.

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39

Jaffé, Charles, and T. Uzer. "Transport in few body systems." Nuclear Physics A 737 (June 2004): 125–31. http://dx.doi.org/10.1016/j.nuclphysa.2004.03.053.

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40

Gross, Franz. "Recent applications of relativistic equations to the few body problem." Czechoslovak Journal of Physics 39, no. 8 (August 1989): 871–83. http://dx.doi.org/10.1007/bf01599200.

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41

FURNSTAHL, R. J. "RECENT DEVELOPMENTS IN THE NUCLEAR MANY-BODY PROBLEM." International Journal of Modern Physics B 17, no. 28 (November 10, 2003): 5111–26. http://dx.doi.org/10.1142/s0217979203020247.

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The study of quantum chromodynamics (QCD) over the past quarter century has had relatively little impact on the traditional approach to the low-energy nuclear many-body problem. Recent developments are changing this situation. New experimental capabilities and theoretical approaches are opening windows into the richness of many-body phenomena in QCD. A common theme is the use of effective field theory (EFT) methods, which exploit the separation of scales in physical systems. At low energies, effective field theory can explain how existing phenomenology emerges from QCD and how to refine it systematically. More generally, the application of EFT methods to many-body problems promises insight into the analytic structure of observables, the identification of new expansion parameters, and a consistent organisation of many-body corrections, with reliable error estimates.
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42

Jensen, A. S., D. V. Fedorov, R. de Diego, E. Garrido, and R. Álvarez-Rodríguez. "Few-body Decay and Recombination in Nuclear Astrophysics." Few-Body Systems 50, no. 1-4 (November 26, 2010): 53–59. http://dx.doi.org/10.1007/s00601-010-0136-2.

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43

Pozdneev, S. A. "The Few-Body Approximation in Nuclear, Atomic, and Molecular Physics." Journal of Russian Laser Research 19, no. 2 (March 1998): 105–15. http://dx.doi.org/10.1007/bf03380156.

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44

Beck, Doug. "Few-body nuclear physics in future (e,e′p) experiments." Nuclear Physics A 497 (June 1989): 413–21. http://dx.doi.org/10.1016/0375-9474(89)90483-1.

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45

Gonz�lez, A. "The quantum few-body problem and the 1/D method." Few-Body Systems 10, no. 2 (June 1991): 43–57. http://dx.doi.org/10.1007/bf01352401.

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46

Milner, Richard G. "Overview of new facilities for few body physics." Nuclear Physics A 737 (June 2004): 132–37. http://dx.doi.org/10.1016/j.nuclphysa.2004.03.054.

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47

Hatanaka, K. "Japanese facility updates related to few-body physics." Nuclear Physics A 737 (June 2004): 319–23. http://dx.doi.org/10.1016/j.nuclphysa.2004.03.095.

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48

Ladygin, V. P., T. Uesaka, V. V. Glagolev, Yu V. Gurchin, A. Yu Isupov, K. Itoh, M. Janek, et al. "Spin physics in few body systems at Nuclotron." Physics of Particles and Nuclei 45, no. 1 (January 2014): 327–29. http://dx.doi.org/10.1134/s1063779614010560.

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49

Voglis, C., I. E. Lagaris, M. L. Lekala, G. J. Rampho, and S. A. Sofianos. "Global minimization in few-body systems." Nuclear Physics A 790, no. 1-4 (June 2007): 655c—658c. http://dx.doi.org/10.1016/j.nuclphysa.2007.03.111.

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50

Carlson, J. "Electroweak processes in few-body nuclei." Nuclear Physics A 737 (June 2004): 77–84. http://dx.doi.org/10.1016/j.nuclphysa.2004.03.047.

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