Pith Number

pith:JYHNJNMN

pith:2026:JYHNJNMNKDT35ZX5TQV4XT43R2

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Emergence of Cluster Formation in Light Nuclei

Jos\'e Nicol\'as Orce, Manfred Jason Jaftha

The non-unique coordinate system with experimental β and γ parameters yields the most probable nuclear shapes where clusters form in light nuclei.

arxiv:2605.17277 v1 · 2026-05-17 · nucl-th · nucl-ex

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Claims

C1strongest claim

Here we show that the non-unique coordinate system of Eq. 4 with β and γ deformation parameters extracted from experimental electric-quadrupole matrix elements actually yields the most probable nuclear shape. Only then does cluster formation spatially emerge in light nuclei and the characteristic bowling-pin-like shapes of 10B and 20Ne are reproduced.

C2weakest assumption

The assumption that the three transformation operators in Eq. 6 produce a single intrinsic configuration whose rotational averaging is unnecessary, and that feeding experimental β and γ directly into the non-unique system of Eq. 4 is sufficient to select the most probable shape without further model-dependent corrections.

C3one line summary

Using experimental beta and gamma values in a non-unique coordinate system aligned with principal axes produces the most probable nuclear shapes and makes cluster formation visible in light nuclei.

References

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[1] Motivation This work is motivated by novel research at the Large Hadron Collider (LHC) at CERN probing nuclear geometry via light-ion collisions (LIC). Here, nuclear shapes — includingα- cluster confi

[2] To this end, state-of-the-art calculations using nuclear lattice effective field theory (NLEFT) incorporateα-cluster correlations within the minimal nuclear interaction [17] 1952

[3] (4) and (6) with empiricalβandγdeformations are shown in the left and right panels of Fig

[4] = 0.08472(56) eb [39], suggests a similarly dominant prolate shape arising from theα+ d +αcluster configuration, in agreement with AMD density distributions [40]. Inclusion of the octupole and/or hexa

[5] Conclusions In conclusion, this work highlights how the quasi-molecular model with macroscopic observablesβandγ— extracted from experimental transitional and diagonal electric- quadrupole matrix eleme

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Receipt and verification

First computed	2026-05-20T00:03:49.346563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e0ed4b58d50e7bee6fd9c2bcbcf9b8e8587941d15b173240e7ad3f7a3195da9

Aliases

arxiv: 2605.17277 · arxiv_version: 2605.17277v1 · doi: 10.48550/arxiv.2605.17277 · pith_short_12: JYHNJNMNKDT3 · pith_short_16: JYHNJNMNKDT35ZX5 · pith_short_8: JYHNJNMN

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/JYHNJNMNKDT35ZX5TQV4XT43R2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4e0ed4b58d50e7bee6fd9c2bcbcf9b8e8587941d15b173240e7ad3f7a3195da9

Canonical record JSON

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    "abstract_canon_sha256": "c9bd9af20bb1f2ff3f0c7edf1da6082c490ca864326633b52ce31b603fca57b7",
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      "nucl-ex"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2026-05-17T06:07:48Z",
    "title_canon_sha256": "bf56219d6332e4f6e99dc310f6b2b6af001c7dd92ef841201fffce9103bdc6b6"
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  "schema_version": "1.0",
  "source": {
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    "kind": "arxiv",
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}