⚛️ high-energy experiments

Observation of the $\Xi_c^0 \to pK^-$ decay and measurement of its decay asymmetry

Using LHCb data from $pp$ collisions at 13 TeV, this paper reports the first observation of the Cabibbo-suppressed decay $\Xi_c^0 \to pK^-$ , measuring its branching fraction to be $(4.5\pm0.5\pm0.2\pm0.9)\times10^{-5}$ and determining its decay asymmetry parameter to be $0.32\pm0.15\pm0.01$ .

Original authors: LHCb collaboration, R. Aaij, M. Abdelfatah, A. S. W. Abdelmotteleb, C. Abellan Beteta, F. Abudinén, T. Ackernley, A. A. Adefisoye, B. Adeva, M. Adinolfi, P. Adlarson, C. Agapopoulou, C. A. Aidala, S. LHCb collaboration, R. Aaij, M. Abdelfatah, A. S. W. Abdelmotteleb, C. Abellan Beteta, F. Abudinén, T. Ackernley, A. A. Adefisoye, B. Adeva, M. Adinolfi, P. Adlarson, C. Agapopoulou, C. A. Aidala, S. Akar, K. Akiba, H. Al Saleh, P. Albicocco, J. Albrecht, R. Aleksiejunas, F. Alessio, P. Alvarez Cartelle, S. Amato, J. L. Amey, Y. Amhis, Z. Amos, L. An, L. Anderlini, P. Andreola, M. Andreotti, S. Andres Estrada, A. Anelli, D. Ao, C. Arata, F. Archilli, Z. Areg, M. Argenton, S. Arguedas Cuendis, L. Arnone, M. Artuso, E. Aslanides, R. Ataíde Da Silva, M. Atzeni, B. Audurier, J. A. Authier, D. Bacher, I. Bachiller Perea, S. Bachmann, M. Bachmayer, J. J. Back, M. Bai, Z. B. Bai, V. Balagura, A. Balboni, W. Baldini, Z. Baldwin, L. Balzani, H. Bao, J. Baptista de Souza Leite, C. Barbero Pretel, M. Barbetti, I. R. Barbosa, W. Barker, R. J. Barlow, M. Barnyakov, S. Baron, S. Barsuk, W. Barter, J. Bartz, S. Bashir, B. Batsukh, P. B. Battista, A. Bavarchee, A. Bay, A. Beck, M. Becker, F. Bedeschi, I. B. Bediaga, N. A. Behling, S. Belin, A. Bellavista, I. Belyaev, G. Bencivenni, E. Ben-Haim, J. L. M. Berkey, R. Bernet, A. Bertolin, L. Bertsch, F. Betti, J. Bex, O. Bezshyyko, S. Bhattacharya, M. S. Bieker, N. V. Biesuz, A. Biolchini, M. Birch, F. C. R. Bishop, A. Bitadze, A. Bizzeti, T. Blake, F. Blanc, J. E. Blank, S. Blusk, J. A. Boelhauve, O. Boente Garcia, T. Boettcher, A. Bohare, C. Bolognani, R. B. Bonacci, A. Bordelius, F. Borgato, S. Borghi, M. Borsato, J. T. Borsuk, E. Bottalico, S. A. Bouchiba, M. Bovill, T. J. V. Bowcock, A. Boyer, C. Bozzi, J. D. Brandenburg, A. Brea Rodriguez, N. Breer, C. Breitfeld, J. Brodzicka, J. Brown, E. Buchanan, M. Burgos Marcos, C. Burr, C. Buti, J. S. Butter, J. Buytaert, W. Byczynski, S. Cadeddu, H. Cai, Y. Cai, Y. Cai, A. Caillet, R. Calabrese, L. Calefice, M. Calvi, M. Calvo Gomez, P. Camargo Magalhaes, J. I. Cambon Bouzas, P. Campana, A. Campomagnani, A. C. Campos, A. F. Campoverde Quezada, Y. Cao, S. Capelli, M. Caporale, L. Capriotti, R. Caravaca-Mora, A. Carbone, L. Carcedo Salgado, R. Cardinale, A. Cardini, P. Carniti, L. Carus, A. Casais Vidal, R. Caspary, G. Casse, M. Cattaneo, G. Cavallero, V. Cavallini, S. Celani, I. Celestino, S. Cesare, A. J. Chadwick, M. Charles, Ph. Charpentier, E. Chatzianagnostou, R. Cheaib, M. Chefdeville, C. Chen, J. Chen, S. Chen, Z. Chen, A. Chen Hu, M. Cherif, S. Chernyshenko, X. Chiotopoulos, G. Chizhik, V. Chobanova, A. Christakakis, M. Chrzaszcz, Y. Chu, V. Chulikov, P. Ciambrone, X. Cid Vidal, P. Cifra, P. E. L. Clarke, M. Clemencic, H. V. Cliff, J. Closier, C. Cocha Toapaxi, V. Coco, A. Codovini, C. Codovini, J. Cogan, E. Cogneras, L. Cojocariu, S. Collaviti, P. Collins, T. Colombo, M. Colonna, A. Comerma-Montells, L. Congedo, J. Connaughton, A. Contu, N. Cooke, G. Cordova, C. Coronel, I. Corredoira, A. Correia, G. Corti, G. C. Costantino, C. Cotirlan, J. Cottee Meldrum, B. Couturier, D. C. Craik, N. Crepet, M. Cruz Torres, M. Cubero Campos, E. Curras Rivera, R. Currie, C. L. Da Silva, X. Dai, J. Dalseno, C. D'Ambrosio, G. Darze, A. Davidson, O. De Aguiar Francisco, C. De Angelis, F. De Benedetti, J. de Boer, K. De Bruyn, S. De Capua, M. De Cian, U. De Freitas Carneiro Da Graca, F. De Gregorio, E. De Lucia, J. M. De Miranda, L. De Paula, A. De Robertis, E. De Santis, M. De Serio, P. De Simone, F. De Vellis, J. A. de Vries, F. Debernardis, D. Decamp, S. Dekkers, L. Del Buono, B. Delaney, B. Demaire-Lepape, J. Deng, O. Deschamps, F. Dettori, B. Dey, P. Di Nezza, S. Ding, Y. Ding, L. Dittmann, J. F. Diverchy, A. D. Docheva, A. Doheny, C. Dong, F. Dordei, J. Dorta Moreno, A. C. dos Reis, J. Dos Santos Oliveira, A. D. Dowling, L. Dreyfus, W. Duan, P. Duda, L. Dufour, V. Duk, P. Durante, M. M. Duras, J. M. Durham, O. D. Durmus, K. Duwe, A. 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Lupato, M. Lupberger, E. Luppi, K. Lynch, J. Lyu, S. Lyu, X. -R. Lyu, H. Ma, S. Maccolini, F. Machefert, F. Maciuc, B. Mack, I. Mackay, L. M. Mackey, L. R. Madhan Mohan, M. J. Madurai, D. Magdalinski, J. J. Malczewski, S. Malde, L. Malentacca, G. Manca, C. Mancuso, R. Manera Escalero, A. Mangalasseri, F. M. Manganella, R. Mangrulkar, D. Manuzzi, S. Mao, D. Marangotto, J. F. Marchand, R. Marchevski, U. Marconi, E. Mariani, S. Mariani, C. Marin Benito, J. Marks, A. M. Marshall, L. Martel, G. Martelli, G. Martellotti, L. Martinazzoli, M. Martinelli, C. Martinez, A. Martinez Armas, D. Martinez Gomez, D. Martinez Santos, F. Martinez Vidal, A. Martorell i Granollers, A. Massafferri, R. Matev, A. Mathad, C. Matteuzzi, K. R. Mattioli, L. Matzner, A. Mauri, E. Maurice, J. Mauricio, P. Mayencourt, J. Mazorra de Cos, M. Mazurek, D. Mazzanti Tarancon, M. McCann, N. T. McHugh, A. McNab, R. McNulty, B. Meadows, S. E. R. Medaer, D. Melnychuk, D. Mendoza Granada, P. Menendez Valdes Perez, F. M. 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Published 2026-08-31

📖 4 min read🧠 Deep dive

CC BY 4.0

Original authors: LHCb collaboration, R. Aaij, M. Abdelfatah, A. S. W. Abdelmotteleb, C. Abellan Beteta, F. Abudinén, T. Ackernley, A. A. Adefisoye, B. Adeva, M. Adinolfi, P. Adlarson, C. Agapopoulou, C. A. Aidala, S. Akar, K. Akiba, H. Al Saleh, P. Albicocco, J. Albrecht, R. Aleksiejunas, F. Alessio, P. Alvarez Cartelle, S. Amato, J. L. Amey, Y. Amhis, Z. Amos, L. An, L. Anderlini, P. Andreola, M. Andreotti, S. Andres Estrada, A. Anelli, D. Ao, C. Arata, F. Archilli, Z. Areg, M. Argenton, S. Arguedas Cuendis, L. Arnone, M. Artuso, E. Aslanides, R. Ataíde Da Silva, M. Atzeni, B. Audurier, J. A. Authier, D. Bacher, I. Bachiller Perea, S. Bachmann, M. Bachmayer, J. J. Back, M. Bai, Z. B. Bai, V. Balagura, A. Balboni, W. Baldini, Z. Baldwin, L. Balzani, H. Bao, J. Baptista de Souza Leite, C. Barbero Pretel, M. Barbetti, I. R. Barbosa, W. Barker, R. J. Barlow, M. Barnyakov, S. Baron, S. Barsuk, W. Barter, J. Bartz, S. Bashir, B. Batsukh, P. B. Battista, A. Bavarchee, A. Bay, A. Beck, M. Becker, F. Bedeschi, I. B. Bediaga, N. A. Behling, S. Belin, A. Bellavista, I. Belyaev, G. Bencivenni, E. Ben-Haim, J. L. M. Berkey, R. Bernet, A. Bertolin, L. Bertsch, F. Betti, J. Bex, O. Bezshyyko, S. Bhattacharya, M. S. Bieker, N. V. Biesuz, A. Biolchini, M. Birch, F. C. R. Bishop, A. Bitadze, A. Bizzeti, T. Blake, F. Blanc, J. E. Blank, S. Blusk, J. A. Boelhauve, O. Boente Garcia, T. Boettcher, A. Bohare, C. Bolognani, R. B. Bonacci, A. Bordelius, F. Borgato, S. Borghi, M. Borsato, J. T. Borsuk, E. Bottalico, S. A. Bouchiba, M. Bovill, T. J. V. Bowcock, A. Boyer, C. Bozzi, J. D. Brandenburg, A. Brea Rodriguez, N. Breer, C. Breitfeld, J. Brodzicka, J. Brown, E. Buchanan, M. Burgos Marcos, C. Burr, C. Buti, J. S. Butter, J. Buytaert, W. Byczynski, S. Cadeddu, H. Cai, Y. Cai, Y. Cai, A. Caillet, R. Calabrese, L. Calefice, M. Calvi, M. Calvo Gomez, P. Camargo Magalhaes, J. I. Cambon Bouzas, P. Campana, A. Campomagnani, A. C. Campos, A. F. Campoverde Quezada, Y. Cao, S. Capelli, M. Caporale, L. Capriotti, R. Caravaca-Mora, A. Carbone, L. Carcedo Salgado, R. Cardinale, A. Cardini, P. Carniti, L. Carus, A. Casais Vidal, R. Caspary, G. Casse, M. Cattaneo, G. Cavallero, V. Cavallini, S. Celani, I. Celestino, S. Cesare, A. J. Chadwick, M. Charles, Ph. Charpentier, E. Chatzianagnostou, R. Cheaib, M. Chefdeville, C. Chen, J. Chen, S. Chen, Z. Chen, A. Chen Hu, M. Cherif, S. Chernyshenko, X. Chiotopoulos, G. Chizhik, V. Chobanova, A. Christakakis, M. Chrzaszcz, Y. Chu, V. Chulikov, P. Ciambrone, X. Cid Vidal, P. Cifra, P. E. L. Clarke, M. Clemencic, H. V. Cliff, J. Closier, C. Cocha Toapaxi, V. Coco, A. Codovini, C. Codovini, J. Cogan, E. Cogneras, L. Cojocariu, S. Collaviti, P. Collins, T. Colombo, M. Colonna, A. Comerma-Montells, L. Congedo, J. Connaughton, A. Contu, N. Cooke, G. Cordova, C. Coronel, I. Corredoira, A. Correia, G. Corti, G. C. Costantino, C. Cotirlan, J. Cottee Meldrum, B. Couturier, D. C. Craik, N. Crepet, M. Cruz Torres, M. Cubero Campos, E. Curras Rivera, R. Currie, C. L. Da Silva, X. Dai, J. Dalseno, C. D'Ambrosio, G. Darze, A. Davidson, O. De Aguiar Francisco, C. De Angelis, F. De Benedetti, J. de Boer, K. De Bruyn, S. De Capua, M. De Cian, U. De Freitas Carneiro Da Graca, F. De Gregorio, E. De Lucia, J. M. De Miranda, L. De Paula, A. De Robertis, E. De Santis, M. De Serio, P. De Simone, F. De Vellis, J. A. de Vries, F. Debernardis, D. Decamp, S. Dekkers, L. Del Buono, B. Delaney, B. Demaire-Lepape, J. Deng, O. Deschamps, F. Dettori, B. Dey, P. Di Nezza, S. Ding, Y. Ding, L. Dittmann, J. F. Diverchy, A. D. Docheva, A. Doheny, C. Dong, F. Dordei, J. Dorta Moreno, A. C. dos Reis, J. Dos Santos Oliveira, A. D. Dowling, L. Dreyfus, W. Duan, P. Duda, L. Dufour, V. Duk, P. Durante, M. M. Duras, J. M. Durham, O. D. Durmus, K. Duwe, A. Dziurda, S. Easo, E. Eckstein, U. Egede, S. Eisenhardt, E. Ejopu, L. Eklund, M. Elashri, D. Elizondo Blanco, J. Ellbracht, S. Ely, A. Ene, T. Evans, F. Fabiano, S. Faghih, L. N. Falcao, B. Fang, R. Fantechi, L. Fantini, M. Faria, K. Farmer, F. Fassin, D. Fazzini, L. Felkowski, C. Feng, M. Feng, A. Fernandez Casani, M. Fernandez Gomez, B. Fernandez Rodino, J. Fernandez-John, A. D. Fernez, F. Ferrari, F. Ferreira Rodrigues, R. A. Fini, R. Fiorenza, M. Fiorini, M. Firlej, D. S. Fitzgerald, C. Fitzpatrick, T. Fiutowski, F. Fleuret, A. Fomin, M. Fontana, M. Fontes Vaz, L. A. Foreman, R. Forty, D. Foulds-Holt, V. Franco Lima, M. Franco Sevilla, M. Frank, E. Franzoso, G. Frau, C. Frei, D. A. Friday, J. Fu, Y. Fu, Q. Führing, T. Fulghesu, G. Galati, M. D. Galati, A. Gallas Torreira, D. Galli, S. Gambetta, M. Gandelman, P. Gandini, B. Ganie, H. Gao, R. Gao, T. Q. Gao, Y. Gao, Y. Gao, Y. Gao, L. M. Garcia Martin, P. Garcia Moreno, J. García Pardiñas, P. Gardner, L. Garrido, C. Gaspar, A. Gavrikov, E. Gersabeck, M. Gersabeck, T. Gershon, S. Ghizzo, Z. Ghorbanimoghaddam, F. I. Giasemis, V. Gibson, H. K. Giemza, A. L. Gilman, M. Giovannetti, A. Gioventù, L. Girardey, M. A. Giza, F. C. Glaser, V. V. Gligorov, C. Göbel, L. Golinka-Bezshyyko, E. Golobardes, A. Golutvin, S. Gomez Fernandez, A. G. Gomez Mongui, W. Gomulka, F. Goncalves Abrantes, I. Gonçales Vaz, M. Goncerz, G. Gong, S. Gong, J. A. Gooding, C. Gotti, E. Govorkova, J. P. Grabowski, L. A. Granado Cardoso, R. Grande Quartieri, E. Graugés, E. Graverini, L. Grazette, G. Graziani, A. T. Grecu, N. A. Grieser, L. Grillo, C. Gu, M. Guarise, L. Guerry, A. -K. Guseinov, Y. Guz, T. Gys, K. Habermann, T. Hadavizadeh, C. Hadjivasiliou, G. Haefeli, C. Haen, S. Haken, G. Hallett, P. M. Hamilton, Q. Han, S. Han, X. Han, S. Hansmann-Menzemer, N. Harnew, T. J. Harris, L. Hartman, M. Hartmann, S. Hashmi, J. He, N. Heatley, A. Hedes, F. Hemmer, C. Henderson, R. Henderson, R. D. L. Henderson, A. M. Hennequin, K. Hennessy, J. Herd, P. Herrero Gascon, J. Heuel, A. Heyn, A. Hicheur, G. Hijano Mendizabal, J. Horswill, R. Hou, Y. Hou, D. C. Houston, N. Howarth, W. Hu, X. Hu, W. Hulsbergen, R. J. Hunter, D. Hutchcroft, M. 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Malczewski, S. Malde, L. Malentacca, G. Manca, C. Mancuso, R. Manera Escalero, A. Mangalasseri, F. M. Manganella, R. Mangrulkar, D. Manuzzi, S. Mao, D. Marangotto, J. F. Marchand, R. Marchevski, U. Marconi, E. Mariani, S. Mariani, C. Marin Benito, J. Marks, A. M. Marshall, L. Martel, G. Martelli, G. Martellotti, L. Martinazzoli, M. Martinelli, C. Martinez, A. Martinez Armas, D. Martinez Gomez, D. Martinez Santos, F. Martinez Vidal, A. Martorell i Granollers, A. Massafferri, R. Matev, A. Mathad, C. Matteuzzi, K. R. Mattioli, L. Matzner, A. Mauri, E. Maurice, J. Mauricio, P. Mayencourt, J. Mazorra de Cos, M. Mazurek, D. Mazzanti Tarancon, M. McCann, N. T. McHugh, A. McNab, R. McNulty, B. Meadows, S. E. R. Medaer, D. Melnychuk, D. Mendoza Granada, P. Menendez Valdes Perez, F. M. Meng, M. Merk, A. Merli, L. Meyer Garcia, D. Miao, H. Miao, M. Mikhasenko, D. A. Milanes, A. Minotti, E. Minucci, B. Mitreska, D. S. Mitzel, R. Mocanu, A. Modak, L. Moeser, R. D. Moise, E. F. Molina Cardenas, T. 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Original paper licensed under CC BY 4.0 (http://creativecommons.org/licenses/by/4.0/). ✨ This is an AI-generated explanation of the paper below. It is not written or endorsed by the authors. For technical accuracy, refer to the original paper. Read full disclaimer

The universe is built from a small set of fundamental particles, but the way these particles stick together to form the matter we see is governed by two distinct forces. One force, the strong interaction, acts like a powerful glue, binding quarks together into larger groups called hadrons. The other, the weak interaction, is responsible for particles changing their identity or decaying into something else. While the strong force is well understood, the weak force becomes much harder to predict when it acts on complex groups of particles rather than single ones. Physicists study these complex decays to understand how the strong and weak forces work together, a relationship that remains one of the most difficult puzzles in modern physics. By observing how specific particles break apart, scientists can test the rules of the Standard Model, the framework that describes all known matter and forces. If the observed behavior does not match the predictions, it could reveal new physics or force a rewrite of our current theories.

A team of researchers using the Large Hadron Collider beauty (LHCb) experiment has now observed a rare decay that had never been seen before. They focused on a particle called the $\Xi^0_c$ baryon, which is made of three quarks. In this study, they watched for a specific moment when this particle transformed into a proton and a negatively charged kaon. This transformation is difficult to detect because it is "Cabibbo-suppressed," meaning the laws of physics make it happen much less frequently than other similar decays. Furthermore, the process is driven by a mechanism known as W-exchange, where the internal quarks swap partners in a way that is notoriously difficult for theoretical models to calculate accurately. Because this decay had never been observed, its properties were a complete mystery, leaving a gap in the understanding of how charm quarks behave inside baryons.

To find this elusive event, the scientists analyzed data from proton-proton collisions that occurred at an energy of 13 teraelectronvolts. They sifted through a massive amount of collision data, equivalent to an integrated luminosity of 5.4 inverse femtobarns, looking for a specific chain of events. The $\Xi^0_c$ particles they studied were not created directly in the collision but were produced as part of the decay of a heavier particle called the $\Xi^-_b$ baryon. By tracking the path of the $\Xi^-_b$ as it decayed into the $\Xi^0_c$ and a pion, and then watching the $\Xi^0_c$ decay into the proton and kaon, the team could isolate the signal from the background noise. They used advanced computer algorithms to distinguish the true signal from random particle collisions, effectively filtering out millions of false leads to find the few hundred genuine events they needed.

The analysis confirmed the existence of this decay mode for the first time. The researchers measured how often this specific transformation occurs relative to a more common decay of the same particle. They determined that the probability of the $\Xi^0_c$ turning into a proton and a kaon is approximately 4.5 in every 100,000 decays. This measurement comes with a small margin of error, but the result is statistically significant enough to be considered a firm observation rather than a statistical fluctuation. The team also measured a property called the decay asymmetry parameter, which describes whether the decay products are emitted more often in one direction than another relative to the spin of the parent particle. They found this value to be 0.32, with an uncertainty that allows the result to be consistent with zero. This suggests that there is no strong preference for the direction of the emitted particles, indicating a specific balance between the different quantum mechanical waves involved in the process.

These findings provide a crucial new data point for theorists who try to calculate how charm baryons decay. The measured rate of decay is significantly lower than most existing theoretical predictions, which had estimated it to be higher. The only prediction that came close was one that included large uncertainties, making it difficult to draw firm conclusions from that model alone. The measured asymmetry parameter also differs from some theoretical expectations, challenging the current understanding of the non-perturbative effects that dominate these interactions. By providing the first concrete numbers for this specific decay, the study offers a new benchmark that future theories must match. As the LHCb detector continues to collect more data with improved capabilities, these measurements will become even more precise, potentially revealing deeper insights into the fundamental forces that shape our universe.

Technical Summary: Observation of the $\Xi^0_c \to pK^-$ decay and measurement of its decay asymmetry

Problem and Motivation
Charm-baryon decays serve as critical probes for understanding the interplay between low-energy strong and weak interactions within the Standard Model. Purely hadronic weak decays are particularly valuable for testing approximate $SU(3)$ flavour symmetry and investigating nonfactorisable contributions to decay amplitudes at the charm-quark mass scale. While significant experimental progress has been made in measuring branching fractions and decay asymmetry parameters for various charm-baryon modes, a precise theoretical description remains elusive due to nonperturbative QCD effects.

Specifically, purely $W$ -exchange singly Cabibbo-suppressed (SCS) decays of the $\Xi_c$ baryon, such as $\Xi^0_c \to pK^-$ , had never been observed prior to this work. Theoretical predictions for these modes vary significantly, and the decay asymmetry parameter, $\alpha_{\Xi^0_c}$ , which quantifies the interference between parity-violating $S$ -wave and parity-conserving $P$ -wave amplitudes, provides essential constraints on the underlying hadronic dynamics. Furthermore, recent angular analyses of related decays (e.g., $\Lambda^+_c \to \Xi^0 K^+$ ) have shown deviations from theoretical models, highlighting the need for new experimental inputs to refine these descriptions.

Methodology
The LHCb collaboration performed a search for the $\Xi^0_c \to pK^-$ decay using proton-proton collision data collected at a centre-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 5.4 fb $^{-1}$ . The analysis utilized $\Xi^0_c$ baryons produced in the cascade decay $\Xi^-_b \to \Xi^0_c \pi^-$ . This specific production channel was chosen because it provides a lower-background sample and uniquely enables the measurement of the $\Xi^0_c$ decay asymmetry parameter.

Event Selection: The analysis employed a multivariate classifier based on a boosted decision tree (BDT) to separate signal from combinatorial background. Candidates were required to have well-fitted secondary vertices significantly displaced from primary vertices. Tight particle-identification (PID) requirements and mass spectrum vetoes were applied to suppress backgrounds from misidentified $B$ -meson decays and $D^0$ meson decays.
Signal Extraction: Yields for the signal channel ( $\Xi^-_b \to \Xi^0_c (\to pK^-) \pi^-$ ) and the normalisation channel ( $\Xi^-_b \to \Xi^0_c (\to pK^-K^-\pi^+) \pi^-$ ) were determined via a simultaneous unbinned maximum-likelihood fit to the $\Xi^-_b$ invariant mass spectra. The signal was modelled using a double-sided Crystal Ball function and a Gaussian function, while backgrounds were described by exponential, ARGUS, and misidentification components.
Branching Fraction Measurement: The branching fraction of $\Xi^0_c \to pK^-$ was measured relative to the normalisation channel $\Xi^0_c \to pK^-K^-\pi^+$ . The ratio of branching fractions was calculated using the signal yields and the total efficiencies (trigger, reconstruction, and selection) derived from corrected simulation samples.
Decay Asymmetry Measurement: The decay asymmetry parameter $\alpha_{\Xi^0_c}$ was extracted from an angular analysis of the helicity angle $\theta$ (the angle between the proton momentum in the $\Xi^0_c$ rest frame and the $\Xi^0_c$ momentum in the $\Xi^-_b$ rest frame). The distribution was fitted using a weighted likelihood formalism, assuming the parent $\Xi^-_b$ baryons are unpolarised and that the decay asymmetry parameter of the parent decay $\Xi^-_b \to \Xi^0_c \pi^-$ is $\alpha_{\Xi^-_b} = -1$ .

Key Results

First Observation: The $\Xi^0_c \to pK^-$ decay is observed for the first time with a signal yield of $134 \pm 14$ events, representing a clear excess over the background.
Branching Fraction: The relative branching fraction ratio is measured as $R = (9.26 \pm 0.94 \text{ (stat)} \pm 0.43 \text{ (syst)}) \times 10^{-3}$ . Using the known branching fraction of the normalisation channel, the absolute branching fraction is determined to be:
$\mathcal{B}(\Xi^0_c \to pK^-) = (4.5 \pm 0.5 \text{ (stat)} \pm 0.2 \text{ (syst)} \pm 0.9 \text{ (norm)}) \times 10^{-5}$
Decay Asymmetry Parameter: The decay asymmetry parameter is measured to be:
$\alpha_{\Xi^0_c} = 0.32 \pm 0.15 \text{ (stat)} \pm 0.01 \text{ (syst)}$
The result is consistent with zero within the uncertainties.

Significance and Claims
The paper claims that this measurement provides the first experimental access to the purely $W$ -exchange SCS decay $\Xi^0_c \to pK^-$ . The measured branching fraction is significantly lower than most theoretical predictions (including those based on the irreducible $SU(3)$ approach, topological diagram approach, and current algebra), with the exception of one $SU(3)$ -based result where the uncertainty is too large to be constraining.

The measured decay asymmetry parameter, being consistent with zero, indicates no significant evidence for interference between the $S$ - and $P$ -wave amplitudes in this channel. This result places direct constraints on the underlying nonperturbative QCD dynamics and challenges current theoretical models, which predict non-zero values with varying signs. The authors state that these measurements provide important input for improving theoretical descriptions of charm-baryon decays. They further note that with the substantially increased datasets expected from the upgraded LHCb detector, more precise measurements will become available to further constrain theoretical models and potentially access CP violation in the decay asymmetry parameter.

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