Lambda baryon

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The Lambda baryons are a family of subatomic hadron particles containing one up quark, one down quark, and a third quark from a higher flavour generation, in a combination where the quantum wave function changes sign upon the flavour of any two quarks being swapped (thus differing from a Sigma baryon). They are thus baryons, with total isospin of 0, and have either neutral electric charge or the elementary charge +1.

Lambda baryons are usually represented by the symbols
Λ0
,
Λ+
c
,
Λ0
b
, and
Λ+
t
. In this notation, the superscript character indicates whether the particle is electrically neutral (0) or carries a positive charge (+). The subscript character, or its absence, indicates whether the third quark is a strange quark (
Λ0
)
(no subscript), a charm quark (
Λ+
c
)
, a bottom quark (
Λ0
b
)
, or a top quark (
Λ+
t
)
. Physicists do not expect to observe a Lambda baryon with a top quark because the Standard Model of particle physics predicts that the mean lifetime of top quarks is roughly 5×10−25 seconds;[1] that is about 1/20 of the mean timescale for strong interactions, which indicates that the top quark would decay before a Lambda baryon could form a hadron.

Overview[edit]

The Lambda baryon
Λ0
was first discovered in October 1950, by V. D. Hopper and S. Biswas of the University of Melbourne, as a neutral V particle with a proton as a decay product, thus correctly distinguishing it as a baryon, rather than a meson,[2] i.e. different in kind from the K meson discovered in 1947 by Rochester and Butler;[3] they were produced by cosmic rays and detected in photographic emulsions flown in a balloon at 70,000 feet (21,000 m).[4] Though the particle was expected to live for ~1×10−23 s,[5] it actually survived for ~1×10−10 s.[6] The property that caused it to live so long was dubbed strangeness and led to the discovery of the strange quark.[5] Furthermore, these discoveries led to a principle known as the conservation of strangeness, wherein lightweight particles do not decay as quickly if they exhibit strangeness (because non-weak methods of particle decay must preserve the strangeness of the decaying baryon).[5]

In 1974 and 1975, an international team at the Fermilab that included scientists from Fermilab and seven European laboratories under the leadership of Eric Burhop carried out a search for a new particle, the existence of which Burhop had predicted in 1963. He had suggested that neutrino interactions could create short-lived (perhaps as low as 10−14 s) particles that could be detected with the use of nuclear emulsion. Experiment E247 at Fermilab successfully detected particles with a lifetime of the order of 10−13 s. A follow-up experiment WA17 with the SPS confirmed the existence of the
Λ+
c
(charmed lambda baryon), with a flight time of (7.3±0.1)×10−13 s.[7][8]

In 2011, the international team at JLab used high-resolution spectrometer measurements of the reaction H(e, e'K+)X at small Q2 (E-05-009) to extract the pole position in the complex-energy plane (primary signature of a resonance) for the Lambda(1520) with mass = 1518.8 MeV and width = 17.2 MeV which seem to be smaller than their Breit–Wigner values.[9] The first determination of the pole position for a hyperon.

The Lambda baryon has also been observed in atomic nuclei called hypernuclei. These nuclei contain the same number of protons and neutrons as a known nucleus, but also contains one or in rare cases two Lambda particles.[10] In such a scenario, the Lambda slides into the center of the nucleus (it is not a proton or a neutron, and thus is not affected by the Pauli exclusion principle), and it binds the nucleus more tightly together due to its interaction via the strong force. In a lithium isotope (Λ7Li), it made the nucleus 19% smaller.[11]

Types of lambda baryons[edit]

The symbols encountered in this list are: I (isospin), J (total angular momentum quantum number), P (parity), Q (charge), S (strangeness), C (charmness), B′ (bottomness), T (topness), u (up quark), d (down quark), s (strange quark), c (charm quark), b (bottom quark), t (top quark), as well as other subatomic particles.

Antiparticles are not listed in the table; however, they simply would have all quarks changed to antiquarks, and Q, B, S, C, B′, T, would be of opposite signs. I, J, and P values in red have not been firmly established by experiments, but are predicted by the quark model and are consistent with the measurements.[12][13] The top lambda (
Λ+
t
) is listed for comparison, but is not expected to be observed, because top quarks decay before they have time to hadronize.[14]

Lambda baryons
Particle name Symbol Quark
content
Rest mass (MeV/c2) I JP Q (e) S C B' T Mean lifetime (s) Commonly decays to
Lambda[6]
Λ0

u

d

s
1115.683±0.006 0 1/2+ 0 −1 0 0 0 (2.631±0.020)×10−10
p+
+
π
or


n0
+
π0
charmed Lambda[15]
Λ+
c

u

d

c
2286.46±0.14 0 1/2 + +1 0 +1 0 0 (2.00±0.06)×10−13 See
Λ+
c
decay modes
bottom Lambda[16]
Λ0
b

u

d

b
5620.2±1.6 0 1/2 + 0 0 0 −1 0 1.409+0.055
−0.054
×10−12
See
Λ0
b
decay modes
top Lambda
Λ+
t

u

d

t
0 1/2 + +1 0 0 0 +1

^ Particle unobserved, because the top-quark decays before it hadronizes.

See also[edit]

References[edit]

  1. ^ Quadt, A. (2006). "Top quark physics at hadron colliders". European Physical Journal C. 48 (3): 835–1000. Bibcode:2006EPJC...48..835Q. doi:10.1140/epjc/s2006-02631-6.
  2. ^ Hopper, V.D.; Biswas, S. (1950). "Evidence Concerning the Existence of the New Unstable Elementary Neutral Particle". Phys. Rev. 80 (6): 1099. Bibcode:1950PhRv...80.1099H. doi:10.1103/physrev.80.1099.
  3. ^ Rochester, G. D.; Butler, C. C. (1947). "Evidence for the Existence of New Unstable Elementary Particles". Nature. 160 (4077): 855. Bibcode:1947Natur.160..855R. doi:10.1038/160855a0.
  4. ^ Pais, Abraham (1986). Inward Bound. Oxford University Press. pp. 21, 511–517.
  5. ^ a b c The Strange Quark
  6. ^ a b Amsler, C.; et al. (2008). "
    Λ
    "
    (PDF). Particle Data Group. Particle listings. Lawrence Berkeley Laboratory.
  7. ^ Massey, Harrie; Davis, D. H. (November 1981). "Eric Henry Stoneley Burhop 31 January 1911 – 22 January 1980". Biographical Memoirs of Fellows of the Royal Society. 27: 131–152. doi:10.1098/rsbm.1981.0006. JSTOR 769868.
  8. ^ Burhop, Eric (1933). The Band Spectra of Diatomic Molecules (MSc). University of Melbourne.
  9. ^ Qiang, Y.; et al. (2010). "Properties of the Lambda(1520) resonance from high-precision electroproduction data". Physics Letters B. 694 (2): 123–128. arXiv:1003.5612. doi:10.1016/j.physletb.2010.09.052.
  10. ^ "Media Advisory: The Heaviest Known Antimatter". bnl.gov.
  11. ^ Brumfiel, Geoff. "Focus: The Incredible Shrinking Nucleus".
  12. ^ Amsler, C.; et al. (2008). "Baryons" (PDF). Particle Data Group. Particle summary tables. Lawrence Berkeley Laboratory.
  13. ^ J. G. Körner et al. (1994)
  14. ^ Ho-Kim, Quang; Pham, Xuan Yem (1998). "Quarks and SU(3) Symmetry". Elementary Particles and Their Interactions: Concepts and Phenomena. Berlin: Springer-Verlag. p. 262. ISBN 978-3-540-63667-0. OCLC 38965994. Because the top quark decays before it can be hadronized, there are no bound states and no top-flavored mesons or baryons ... .
  15. ^ Amsler, C.; et al. (2008). "
    Λ
    c
    "
    (PDF). Particle Data Group. Particle listings. Lawrence Berkeley Laboratory.
  16. ^ Amsler, C.; et al. (2008). "
    Λ
    b
    "
    (PDF). Particle Data Group. Particle listings. Lawrence Berkeley Laboratory.

Bibliography[edit]